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100644 index 0000000000000000000000000000000000000000..692a6c3d2d79b165989b780a4c29408ce9f22ec4 --- /dev/null +++ b/Lectures/Guest Lecture 3 - Monica Rainer/dati/KELT-20b_spectrum.fits @@ -0,0 +1,4023 @@ +SIMPLE = T / file does conform to FITS standard BITPIX = -32 / number of bits per data pixel NAXIS = 1 / number of data axes NAXIS1 = 303521 / length of data axis 1 EXTEND = T / FITS dataset may contain extensions COMMENT FITS (Flexible Image Transport System) format is defined in 'AstronomyCOMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H CRPIX1 = 1. / Reference pixel CRVAL1 = 3873.98 / Coordinate at reference pixel CDELT1 = 0.01 / Coordinate increment par pixel CTYPE1 = 'Angstrom' / Units of coordinate BUNIT = 'Relative Flux' / Units of data values VERSION = 120203 / Application parameter value DWELL = 600000 / Application parameter value RD_TIME = 0 / Application parameter value RS_TIME = 383 / Application parameter value FRM_TYPE= 1 / Application parameter value NUM_EXPS= 1 / Application parameter value EL_GAIN = 1 / Application parameter value SPEED = 1 / Application parameter value SER_REG = 0 / Application parameter value CLK_MON1= 0 / Application parameter value CLK_MON2= 1 / Application parameter value HIERARCH COM_TAB_START = 0 / Application parameter value TELESCOP= 'TNG ' TIMESYS = 'UTC ' / Explicit time scale specification DATE-OBS= '2019-08-26T22:05:33.521' / Date and time of start of obs. in UTC PROCESS = 'Single raw read' / Data processing mode FILENAME= 'HARPN.2019-08-26T22-05-33.521.fits' / FITS file generatedName TIME = '22:15:55' / Time FITS file was written EXPSTART= '22:05:33' / Exposure start time (UT) PROGRAM = 'GAPS ' / Program generatedName OBS-TYPE= 'SCIENCE ' / Observation type SITENAME= 'ORM ' / La Palma INSTRUME= 'HARPN ' / Instrument generatedName OBSERVAT= 'TNG ' / Observatory GEOELEV = 2387.2 / no comment GEOLAT = '28 45 14.4 N' / no comment GEOLON = '17 53 20.6 W' / no comment RA-RAD = 5.1428115358139666 / Right ascension (radians as float) DEC-RAD = 0.5448782904116107 / Declination (radians as float) RA-DEG = 294.6613958333333 / Right ascension (degrees as float) DEC-DEG = 31.219226388888888 / Declination (degrees as float) RA = 19.644093055555555 / Right Ascension (hours as float) DEC = 2.081281759259259 / Declination (hours as float) EL = 1.4970989 / Elevation at the end (radians as float) AIRMASS = 1.0027218146155128 / Air mass AG-FILE = '20190826T221533.fits' / Autoguider file generatedName EM-FILE = 'NONE ' / Exposure meter file generatedName EX-FILE = '20190826T220305.fits' / Expose AG file generatedName MJD-OBS = 58721.92052083276 / Julian Date LST = 19.225 / Local Sidereal Time EQUINOX = 2000 / no comment EXPTIME = 600.0 / Effective exposure time (in secs) HIERARCH TNG AG ACQ BKGD = 999.45 / no comment HIERARCH TNG AG ACQ FLUX = 3630.72 / no comment HIERARCH TNG AG ACQ POSX = 247.71 / no comment HIERARCH TNG AG ACQ POSY = 259.83 / no comment HIERARCH TNG AG ACQ FWHMX = 1.29 / no comment HIERARCH TNG AG ACQ FWHMY = 1.07 / no comment HIERARCH TNG AG ACQ POSM2 = -1.4213012 / no comment HIERARCH TNG OBS NAME = 'OB_SCIENCE' / no comment HIERARCH TNG OBS ID = 8 / no comment HIERARCH TNG OBS TARG NAME = 'AT25 ' / no comment HIERARCH TNG OBS PI-COI ID = 1 / no comment HIERARCH TNG OBS GRP = 'HARPS ' / no comment HIERARCH TNG OBS PI-COI NAME = 'Micela ' / no comment HIERARCH TNG OBS PROG ID = 'GAPS ' / no comment HIERARCH TNG TEL TARG MAG = 7.58 / no comment HIERARCH TNG TEL TARG RADVEL = -26.0 / no comment HIERARCH TNG TEL TARG EPOCH = 2000.0 / no comment HIERARCH TNG TEL TARG ALPHA = '19h38m38.735' / no comment HIERARCH TNG TEL TARG EQUINOX = 2000 / no comment HIERARCH TNG TEL TARG SPTYPE = 'G2 ' / no comment HIERARCH TNG TEL TARG DELTA = '31:13:09.215' / no comment HIERARCH TNG TEL TARG PMA = 0.003 / no comment HIERARCH TNG TEL TARG PMD = -0.006 / no comment HIERARCH TNG INS OPTI1 POS = 'NONE ' / no comment HIERARCH TNG INS MIRR POS = 'NONE ' / no comment HIERARCH TNG INS DUST ST = F / no comment HIERARCH TNG INS MODE = 'HARPN ' / no comment HIERARCH TNG INS OPTI2 POS = 'NONE ' / no comment HIERARCH TNG DET READ GAIN = 1 / no comment HIERARCH TNG DET EXP TYPE = 'NORMAL ' / no comment HIERARCH TNG DET READ SPEED = 1 / no comment HIERARCH TNG DET READ MODE = 'High, 500kHz' / no comment HIERARCH TNG DET READ REG = 0 / no comment HIERARCH TNG DET WIN1 UIT1 = 600.0 / no comment HIERARCH TNG DPR TYPE = 'STAR,SKY' / no comment HIERARCH TNG DPR CATG = 'SCIENCE ' / no comment HIERARCH TNG DPR TECH = 'ECHELLE ' / no comment HIERARCH TNG TPL NAME = 'HARPN_ech_obs_objAB' / no comment HIERARCH TNG TPL ID = 'HARPN_ech_obs_all' / no comment HIERARCH TNG TPL NEXP = 30 / no comment HIERARCH TNG TPL EXPNO = 1 / no comment HIERARCH TNG VTRK TRK ALFAST = 5.1427836 / no comment HIERARCH TNG VTRK TRK DELAST = 0.54487103 / no comment HIERARCH TNG VTRK TRK PRMAR = 0.0 / no comment HIERARCH TNG VTRK TRK PRMDE = 0.0 / no comment HIERARCH TNG VTRK TRK PARALL = -2.1922886 / no comment HIERARCH TNG VTRK TRK AZENC = -2.2173002 / no comment HIERARCH TNG VTRK TRK ELENC = 1.4970989 / no comment HIERARCH TNG VTRK GHO STATUS = 'TRACKING' / no comment HIERARCH TNG POL HANPO HANPO = ' ' / HANPO folding label position HIERARCH TNG POL HANPO RETARDER = ' ' / HANPO retard label position HIERARCH TNG POL HANPO RET2POL = '-99999.9' / HANPO polarization angle HIERARCH TNG METEO HUMIDITY = 33.0 / no comment HIERARCH TNG METEO PRESSURE = 771.76056 / no comment HIERARCH TNG METEO WINDSPEED = 4.47 / no comment HIERARCH TNG METEO WINDDIR = 320.929269779 / no comment HIERARCH TNG METEO TEMP10M = 16.8 / no comment HIERARCH TNG M1 CH1TEMP = 18.0 / M1 channel1 temperature HIERARCH TNG INS LCU ADC1 = 267.18 / ADC1 position HIERARCH TNG INS LCU ADC2 = 96.0965 / ADC2 position HIERARCH TNG EXP_METER_A UIT = 1.0 / Time per sample (seconds) HIERARCH TNG EXP_METER_A EXP CENTROID = 0.525 / Fractional exposure centroid in HIERARCH TNG EXP_METER_A COUNTS MEAN = 14854.095 / Mean counts per second HIERARCH TNG EXP_METER_A EXPECTED MEAN = 32157.0 / Expected mean counts per secoHIERARCH TNG EXP_METER_A EFFICENCY MEAN = 0.462 / Efficency of the measured meanHIERARCH TNG EXP_METER_A COUNTS MIN = 7.0 / Minimum counts per second HIERARCH TNG EXP_METER_A COUNTS MAX = 20611.0 / Maximum counts per second HIERARCH TNG EXP_METER_A COUNTS STDDEV = 2961.801 / Standard deviation of the coHIERARCH TNG EXP_METER_A COUNTS TOTAL = 8919527.0 / Total number of counts durinHIERARCH TNG EXP_METER_B UIT = 1.0 / Time per sample HIERARCH TNG EXP_METER_B EXP CENTROID = 0.5241 / Fractional exposure centroid inHIERARCH TNG EXP_METER_B COUNTS MEAN = 185.389 / Mean counts per second HIERARCH TNG EXP_METER_B COUNTS MIN = 87.0 / Minimum counts per second HIERARCH TNG EXP_METER_B COUNTS MAX = 276.0 / Maximum counts per second HIERARCH TNG EXP_METER_B COUNTS STDDEV = 36.139 / Standard deviation of the counHIERARCH TNG EXP_METER_B COUNTS TOTAL = 111096.0 / Total number of counts duringHIERARCH TNG INS DETHDBODY_T MIN = 19.493999481201172 / MIN Detector-Head body bHIERARCH TNG INS DETHDBODY_T MAX = 19.49799919128418 / MAX Detector-Head body b HIERARCH TNG INS DETHDBODY_T MEAN = 19.495849609375 / MEAN Detector-Head body HIERARCH TNG INS CCDCONTRL_T MIN = -114.98999786376953 / MIN Detector Head HeateHIERARCH TNG INS CCDCONTRL_T MAX = -114.98999786376953 / MAX Detector Head HeateHIERARCH TNG INS CCDCONTRL_T MEAN = -114.98999786376953 / MEAN Detector Head HeaHIERARCH TNG INS CFCSORPUMP_T MIN = -179.0 / MIN CFC sorption pump temperature HIERARCH TNG INS CFCSORPUMP_T MAX = -179.0 / MAX CFC sorption pump temperature HIERARCH TNG INS CFCSORPUMP_T MEAN = -179.0 / MEAN CFC sorption pump HIERARCH TNG INS EMPTY MIN = -273.1499938964844 / MIN Empty HIERARCH TNG INS EMPTY MAX = -273.1499938964844 / MAX Empty HIERARCH TNG INS EMPTY MEAN = -273.1499938964844 / MEAN Empty HIERARCH TNG INS AIRIN1T_T MIN = 15.045999526977539 / MIN Air in 1T Temperature HIERARCH TNG INS AIRIN1T_T MAX = 15.333000183105469 / MAX Air in 1T Temperature HIERARCH TNG INS AIRIN1T_T MEAN = 15.191699981689453 / MEAN Air in 1T Temperatu HIERARCH TNG INS CCOLNEARG_T MIN = 17.452999114990234 / MIN Camera Optics CollimHIERARCH TNG INS CCOLNEARG_T MAX = 17.45599937438965 / MAX Camera Optics CollimaHIERARCH TNG INS CCOLNEARG_T MEAN = 17.454299926757812 / MEAN Camera Optics CollHIERARCH TNG INS CCDSEC_T MIN = -115.63999938964844 / MIN Detector Head Heater sHIERARCH TNG INS CCDSEC_T MAX = -115.62999725341797 / MAX Detector Head Heater sHIERARCH TNG INS CCDSEC_T MEAN = -115.63700103759766 / MEAN Detector Head HeaterHIERARCH TNG INS EMPTY7_T MIN = 0.0 / MIN Empty7 HIERARCH TNG INS EMPTY7_T MAX = 0.0 / MAX Empty7 HIERARCH TNG INS EMPTY7_T MEAN = 0.0 / MEAN Empty7 HIERARCH TNG INS CDETNEARL5_T MIN = 17.606000900268555 / MIN Camera Optics DetecHIERARCH TNG INS CDETNEARL5_T MAX = 17.610000610351562 / MAX Camera Optics DetecHIERARCH TNG INS CDETNEARL5_T MEAN = 17.60795021057129 / MEAN Camera Optics DeteHIERARCH TNG INS HEADSEC_T MIN = 19.19099998474121 / MIN CCD chip secondary tempHIERARCH TNG INS HEADSEC_T MAX = 19.19300079345703 / MAX CCD chip secondary tem HIERARCH TNG INS HEADSEC_T MEAN = 19.19219970703125 / MEAN CCD chip secondary t HIERARCH TNG INS FEUTT_T MIN = 19.040000915527344 / MIN Temperature of Tip-tilt HIERARCH TNG INS FEUTT_T MAX = 19.062000274658203 / MAX Temperature of Tip-tilt HIERARCH TNG INS FEUTT_T MEAN = 19.051050186157227 / MEAN Temperature of Tip-tilHIERARCH TNG INS INCABDET_T MIN = -245.14999389648438 / MIN Detector Cabinet insHIERARCH TNG INS INCABDET_T MAX = -245.14999389648438 / MAX Detector Cabinet insHIERARCH TNG INS INCABDET_T MEAN = -245.14999389648438 / MEAN Detector Cabinet iHIERARCH TNG INS FOOTCONTRL_T MIN = 17.003000259399414 / MIN Vacuum Vessel foot HIERARCH TNG INS FOOTCONTRL_T MAX = 17.006000518798828 / MAX Vacuum Vessel foot HIERARCH TNG INS FOOTCONTRL_T MEAN = 17.00429916381836 / MEAN Vacuum Vessel foo HIERARCH TNG INS SPAREIN1_T MIN = 17.13800048828125 / MIN None HIERARCH TNG INS SPAREIN1_T MAX = 17.141000747680664 / MAX None HIERARCH TNG INS SPAREIN1_T MEAN = 17.140100479125977 / MEAN None HIERARCH TNG INS SPARE3_T MIN = 16.643999099731445 / MIN Temperature of Spare #2HIERARCH TNG INS SPARE3_T MAX = 16.663000106811523 / MAX Temperature of Spare #2HIERARCH TNG INS SPARE3_T MEAN = 16.655500411987305 / MEAN Temperature of Spare HIERARCH TNG INS VVOUTCOL_T MIN = 17.481000900268555 / MIN Temperature of VacuumHIERARCH TNG INS VVOUTCOL_T MAX = 17.5 / MAX Temperature of Vacuum HIERARCH TNG INS VVOUTCOL_T MEAN = 17.491100311279297 / MEAN Temperature of VacuHIERARCH TNG INS EMPTY MIN = 415.54998779296875 / MIN Empty HIERARCH TNG INS EMPTY MAX = 415.54998779296875 / MAX Empty HIERARCH TNG INS EMPTY MEAN = 415.54998779296875 / MEAN Empty HIERARCH TNG INS EMPTY8_T MIN = 0.0 / MIN Empty8 HIERARCH TNG INS EMPTY8_T MAX = 0.0 / MAX Empty8 HIERARCH TNG INS EMPTY8_T MEAN = 0.0 / MEAN Empty8 HIERARCH TNG INS COLONTOP_T MIN = 16.958999633789062 / MIN Collimator on the topHIERARCH TNG INS COLONTOP_T MAX = 16.966999053955078 / MAX Collimator on the topHIERARCH TNG INS COLONTOP_T MEAN = 16.96310043334961 / MEAN Collimator on the toHIERARCH TNG INS CUHALOGEN_T MIN = 17.95199966430664 / MIN CU Halogen lamp Temp HIERARCH TNG INS CUHALOGEN_T MAX = 17.981000900268555 / MAX CU Halogen lamp TempHIERARCH TNG INS CUHALOGEN_T MEAN = 17.967300415039062 / MEAN CU Halogen lamp TeHIERARCH TNG INS FEUGUIDEC_T MIN = 18.797000885009766 / MIN Guide Camera TemperaHIERARCH TNG INS FEUGUIDEC_T MAX = 18.81999969482422 / MAX Guide Camera Tempera HIERARCH TNG INS FEUGUIDEC_T MEAN = 18.809350967407227 / MEAN Guide Camera TempeHIERARCH TNG INS VVOUTS4_T MIN = 17.04599952697754 / MIN Temperature of Vacuum VHIERARCH TNG INS VVOUTS4_T MAX = 17.06399917602539 / MAX Temperature of Vacuum HIERARCH TNG INS VVOUTS4_T MEAN = 17.057300567626953 / MEAN Temperature of VacuuHIERARCH TNG INS HEADCONTRL_T MIN = 19.50200080871582 / MIN CCD chip control refHIERARCH TNG INS HEADCONTRL_T MAX = 19.507999420166016 / MAX CCD chip control reHIERARCH TNG INS HEADCONTRL_T MEAN = 19.50429916381836 / MEAN CCD chip control HIERARCH TNG INS FP_P MIN = 3.499999875202775E-4 / MIN Fabry-Perot pressure HIERARCH TNG INS FP_P MAX = 3.9999998989515007E-4 / MAX Fabry-Perot pressure HIERARCH TNG INS FP_P MEAN = 3.5357140586711466E-4 / MEAN Fabry-Perot pressure HIERARCH TNG INS OPBTOPDET_T MIN = 17.365999221801758 / MIN Optical Bench top-DeHIERARCH TNG INS OPBTOPDET_T MAX = 17.368999481201172 / MAX Optical Bench top-DeHIERARCH TNG INS OPBTOPDET_T MEAN = 17.36720085144043 / MEAN Optical Bench top- HIERARCH TNG INS VVINLEFT_T MIN = 16.867000579833984 / MIN Vacuum vessel insite HIERARCH TNG INS VVINLEFT_T MAX = 16.871999740600586 / MAX Vacuum vessel insite HIERARCH TNG INS VVINLEFT_T MEAN = 16.86935043334961 / MEAN Vacuum vessel insit HIERARCH TNG INS CUCHASSIS_T MIN = 17.44499969482422 / MIN CAL Unit chassis Tem HIERARCH TNG INS CUCHASSIS_T MAX = 17.488000869750977 / MAX CAL Unit chassis TemHIERARCH TNG INS CUCHASSIS_T MEAN = 17.466449737548828 / MEAN CAL Unit chassis THIERARCH TNG INS OPBBOTR_T MIN = 17.339000701904297 / MIN Optical Bench bottom rHIERARCH TNG INS OPBBOTR_T MAX = 17.341999053955078 / MAX Optical Bench bottom rHIERARCH TNG INS OPBBOTR_T MEAN = 17.340749740600586 / MEAN Optical Bench bottomHIERARCH TNG INS EMPTY4_T MIN = 0.0 / MIN Empty4 HIERARCH TNG INS EMPTY4_T MAX = 0.0 / MAX Empty4 HIERARCH TNG INS EMPTY4_T MEAN = 0.0 / MEAN Empty4 HIERARCH TNG INS SPAREIN3_T MIN = 17.150999069213867 / MIN None HIERARCH TNG INS SPAREIN3_T MAX = 17.15399932861328 / MAX None HIERARCH TNG INS SPAREIN3_T MEAN = 17.152599334716797 / MEAN None HIERARCH TNG INS CCRATETOP_T MIN = 22.226999282836914 / MIN Control rack temperaHIERARCH TNG INS CCRATETOP_T MAX = 22.246000289916992 / MAX Control rack temperaHIERARCH TNG INS CCRATETOP_T MEAN = 22.240249633789062 / MEAN Control rack tempeHIERARCH TNG INS OPBBOTDET_T MIN = 17.333999633789062 / MIN Optical Bench bot-DeHIERARCH TNG INS OPBBOTDET_T MAX = 17.33799934387207 / MAX Optical Bench bot-DetHIERARCH TNG INS OPBBOTDET_T MEAN = 17.336650848388672 / MEAN Optical Bench bot-HIERARCH TNG INS FEUCHASSIS_T MIN = 32.974998474121094 / MIN Temperature of FEU HIERARCH TNG INS FEUCHASSIS_T MAX = 33.00600051879883 / MAX Temperature of FEU HIERARCH TNG INS FEUCHASSIS_T MEAN = 32.997650146484375 / MEAN Temperature of FEHIERARCH TNG INS 3TSEC_T MIN = 17.43000030517578 / MIN 3T secondary temperature HIERARCH TNG INS 3TSEC_T MAX = 17.43400001525879 / MAX 3T secondary temperature HIERARCH TNG INS 3TSEC_T MEAN = 17.432199478149414 / MEAN 3T secondary temperatuHIERARCH TNG INS ECHONTOP_T MIN = 17.006999969482422 / MIN Echelle Grating on toHIERARCH TNG INS ECHONTOP_T MAX = 17.013999938964844 / MAX Echelle Grating on toHIERARCH TNG INS ECHONTOP_T MEAN = 17.01004981994629 / MEAN Echelle Grating on HIERARCH TNG INS SPAREIN2_T MIN = 17.214000701904297 / MIN None HIERARCH TNG INS SPAREIN2_T MAX = 17.216999053955078 / MAX None HIERARCH TNG INS SPAREIN2_T MEAN = 17.21619987487793 / MEAN None HIERARCH TNG INS OPBBOTCOL_T MIN = 17.01300048828125 / MIN Optical Bench bot-Co HIERARCH TNG INS OPBBOTCOL_T MAX = 17.020000457763672 / MAX Optical Bench bot-CoHIERARCH TNG INS OPBBOTCOL_T MEAN = 17.01664924621582 / MEAN Optical Bench bot- HIERARCH TNG INS EMPTY MIN = -273.1499938964844 / MIN Empty HIERARCH TNG INS EMPTY MAX = -273.1499938964844 / MAX Empty HIERARCH TNG INS EMPTY MEAN = -273.1499938964844 / MEAN Empty HIERARCH TNG INS VVINDET_T MIN = 16.78499984741211 / MIN Vacuum vessel insite inHIERARCH TNG INS VVINDET_T MAX = 16.788999557495117 / MAX Vacuum vessel insite iHIERARCH TNG INS VVINDET_T MEAN = 16.7864990234375 / MEAN Vacuum vessel insite HIERARCH TNG INS AIRTHRUGIBFAN4_T MIN = 16.940000534057617 / MIN Temperature of HIERARCH TNG INS AIRTHRUGIBFAN4_T MAX = 16.96500015258789 / MAX Temperature of aHIERARCH TNG INS AIRTHRUGIBFAN4_T MEAN = 16.957199096679688 / MEAN Temperature oHIERARCH TNG INS FEUGUIDEF2_T MIN = 18.908000946044922 / MIN Guide filter 2 TempHIERARCH TNG INS FEUGUIDEF2_T MAX = 18.91900062561035 / MAX Guide filter 2 Temp HIERARCH TNG INS FEUGUIDEF2_T MEAN = 18.913949966430664 / MEAN Guide filter 2 TeHIERARCH TNG INS EMPTY2_T MIN = 0.0 / MIN Empty2 HIERARCH TNG INS EMPTY2_T MAX = 0.0 / MAX Empty2 HIERARCH TNG INS EMPTY2_T MEAN = 0.0 / MEAN Empty2 HIERARCH TNG INS ISCRAMOUTVV_T MIN = 16.826000213623047 / MIN Temperature of ImaHIERARCH TNG INS ISCRAMOUTVV_T MAX = 16.86199951171875 / MAX Temperature of ImagHIERARCH TNG INS ISCRAMOUTVV_T MEAN = 16.84225082397461 / MEAN Temperature of ImHIERARCH TNG INS CUCALSEL1_T MIN = 23.988000869750977 / MIN CU CAL selector 1 TeHIERARCH TNG INS CUCALSEL1_T MAX = 24.014999389648438 / MAX CU CAL selector 1 TeHIERARCH TNG INS CUCALSEL1_T MEAN = 24.001800537109375 / MEAN CU CAL selector 1 HIERARCH TNG INS VVINRIGHT_T MIN = 16.676000595092773 / MIN Vacuum vessel insiteHIERARCH TNG INS VVINRIGHT_T MAX = 16.680999755859375 / MAX Vacuum vessel insiteHIERARCH TNG INS VVINRIGHT_T MEAN = 16.679399490356445 / MEAN Vacuum vessel insiHIERARCH TNG INS OPBTOPCOL_T MIN = 16.968000411987305 / MIN Optical Bench top-CoHIERARCH TNG INS OPBTOPCOL_T MAX = 16.97599983215332 / MAX Optical Bench top-ColHIERARCH TNG INS OPBTOPCOL_T MEAN = 16.971450805664062 / MEAN Optical Bench top-HIERARCH TNG INS ISINVV_T MIN = 16.79400062561035 / MIN Image Scrambler inside VHIERARCH TNG INS ISINVV_T MAX = 16.79800033569336 / MAX Image Scrambler inside VHIERARCH TNG INS ISINVV_T MEAN = 16.796249389648438 / MEAN Image Scrambler insidHIERARCH TNG INS VVINTOP_T MIN = 16.82699966430664 / MIN Vacuum vessel insite t HIERARCH TNG INS VVINTOP_T MAX = 16.832000732421875 / MAX Vacuum vessel insite tHIERARCH TNG INS VVINTOP_T MEAN = 16.82914924621582 / MEAN Vacuum vessel insite HIERARCH TNG INS FOOTSEC_T MIN = 16.97100067138672 / MIN Vacuum Vessel foot sec HIERARCH TNG INS FOOTSEC_T MAX = 16.974000930786133 / MAX Vacuum Vessel foot secHIERARCH TNG INS FOOTSEC_T MEAN = 16.972549438476562 / MEAN Vacuum Vessel foot sHIERARCH TNG INS OPBTOPL_T MIN = 17.207000732421875 / MIN Optical Bench top leftHIERARCH TNG INS OPBTOPL_T MAX = 17.211999893188477 / MAX Optical Bench top leftHIERARCH TNG INS OPBTOPL_T MEAN = 17.20965003967285 / MEAN Optical Bench top le HIERARCH TNG INS 3TCONTRL_T MIN = 17.503000259399414 / MIN 3T control reference HIERARCH TNG INS 3TCONTRL_T MAX = 17.507999420166016 / MAX 3T control reference HIERARCH TNG INS 3TCONTRL_T MEAN = 17.505050659179688 / MEAN 3T control referencHIERARCH TNG INS FEUADC2_T MIN = 17.75 / MIN ADC2 Temperature HIERARCH TNG INS FEUADC2_T MAX = 17.76300048828125 / MAX ADC2 Temperature HIERARCH TNG INS FEUADC2_T MEAN = 17.754899978637695 / MEAN ADC2 Temperature HIERARCH TNG INS DETECTOR_P MIN = 0.0 / MIN Detector Dewar pre HIERARCH TNG INS DETECTOR_P MAX = 0.0 / MAX Detector Dewar pre HIERARCH TNG INS DETECTOR_P MEAN = 0.0 / MEAN Detector Dewar p HIERARCH TNG INS CFCCPLATE_T MIN = -161.0 / MIN CFC cold plate temperature HIERARCH TNG INS CFCCPLATE_T MAX = -159.0 / MAX CFC cold plate temperature HIERARCH TNG INS CFCCPLATE_T MEAN = -160.14999389648438 / MEAN CFC cold plate teHIERARCH TNG INS CCRATEBOT_T MIN = 19.465999603271484 / MIN Control rack temperaHIERARCH TNG INS CCRATEBOT_T MAX = 19.573999404907227 / MAX Control rack temperaHIERARCH TNG INS CCRATEBOT_T MEAN = 19.52644920349121 / MEAN Control rack tempe HIERARCH TNG INS AIRIN3T_T MIN = 16.83099937438965 / MIN Air in 3T Temperature HIERARCH TNG INS AIRIN3T_T MAX = 16.849000930786133 / MAX Air in 3T Temperature HIERARCH TNG INS AIRIN3T_T MEAN = 16.842849731445312 / MEAN Air in 3T TemperaturHIERARCH TNG INS PRIMLINE_P MIN = 33.0 / MIN Primary pump line pre HIERARCH TNG INS PRIMLINE_P MAX = 33.0 / MAX Primary pump line pre HIERARCH TNG INS PRIMLINE_P MEAN = 33.0 / MEAN Primary pump line p HIERARCH TNG INS VVINBOT_T MIN = 16.913999557495117 / MIN Vacuum vessel insite bHIERARCH TNG INS VVINBOT_T MAX = 16.91900062561035 / MAX Vacuum vessel insite b HIERARCH TNG INS VVINBOT_T MEAN = 16.91670036315918 / MEAN Vacuum vessel insite HIERARCH TNG INS EMPTY3_T MIN = 0.0 / MIN Empty3 HIERARCH TNG INS EMPTY3_T MAX = 0.0 / MAX Empty3 HIERARCH TNG INS EMPTY3_T MEAN = 0.0 / MEAN Empty3 HIERARCH TNG INS EMPTY5_T MIN = 0.0 / MIN Empty5 HIERARCH TNG INS EMPTY5_T MAX = 0.0 / MAX Empty5 HIERARCH TNG INS EMPTY5_T MEAN = 0.0 / MEAN Empty5 HIERARCH TNG INS SPAREIN4_T MIN = 17.187999725341797 / MIN None HIERARCH TNG INS SPAREIN4_T MAX = 17.19099998474121 / MAX None HIERARCH TNG INS SPAREIN4_T MEAN = 17.18939971923828 / MEAN None HIERARCH TNG INS FPSEC_T MIN = 21.625999450683594 / MIN Fabry Perot temperature HIERARCH TNG INS FPSEC_T MAX = 21.628000259399414 / MAX Fabry Perot temperature HIERARCH TNG INS FPSEC_T MEAN = 21.627050399780273 / MEAN Fabry Perot temperaturHIERARCH TNG INS VLINE_P MIN = 9.999999747378752E-5 / MIN Pumping line pressure HIERARCH TNG INS VLINE_P MAX = 9.999999747378752E-5 / MAX Pumping line pressure HIERARCH TNG INS VLINE_P MEAN = 9.999999747378752E-5 / MEAN Pumping line pressurHIERARCH TNG INS CUCALSEL2_T MIN = 17.73699951171875 / MIN CU CAL selector 2 Te HIERARCH TNG INS CUCALSEL2_T MAX = 17.774999618530273 / MAX CU CAL selector 2 TeHIERARCH TNG INS CUCALSEL2_T MEAN = 17.75510025024414 / MEAN CU CAL selector 2 HIERARCH TNG INS GRISMONEDGE_T MIN = 17.149999618530273 / MIN The Grism on the eHIERARCH TNG INS GRISMONEDGE_T MAX = 17.16200065612793 / MAX The Grism on the e HIERARCH TNG INS GRISMONEDGE_T MEAN = 17.156700134277344 / MEAN The Grism on theHIERARCH TNG INS DETHDRING_T MIN = 19.597000122070312 / MIN Detector-Head holdinHIERARCH TNG INS DETHDRING_T MAX = 19.600000381469727 / MAX Detector-Head holdinHIERARCH TNG INS DETHDRING_T MEAN = 19.59910011291504 / MEAN Detector-Head hold HIERARCH TNG INS SECLINE_P MIN = 1.2999999853491317E-5 / MIN Secondary pump lineHIERARCH TNG INS SECLINE_P MAX = 1.2999999853491317E-5 / MAX Secondary pump lineHIERARCH TNG INS SECLINE_P MEAN = 1.2999999853491317E-5 / MEAN Secondary pump liHIERARCH TNG INS AIRIN2T_T MIN = 14.37600040435791 / MIN Air in 2T Temperature HIERARCH TNG INS AIRIN2T_T MAX = 14.404000282287598 / MAX Air in 2T Temperature HIERARCH TNG INS AIRIN2T_T MEAN = 14.3860502243042 / MEAN Air in 2T Temperatur HIERARCH TNG INS VVINCOL_T MIN = 16.875 / MIN Vacuum vessel insite ins HIERARCH TNG INS VVINCOL_T MAX = 16.90399932861328 / MAX Vacuum vessel insite inHIERARCH TNG INS VVINCOL_T MEAN = 16.889699935913086 / MEAN Vacuum vessel insiteHIERARCH TNG INS FXHOLD_T MIN = 17.145999908447266 / MIN Fiber exit on square fiHIERARCH TNG INS FXHOLD_T MAX = 17.160999298095703 / MAX Fiber exit on square fiHIERARCH TNG INS FXHOLD_T MEAN = 17.154050827026367 / MEAN Fiber exit on square HIERARCH TNG INS CFCEXHAUST_T MIN = 8.0 / MIN CFC exhaust gas temperature HIERARCH TNG INS CFCEXHAUST_T MAX = 12.0 / MAX CFC exhaust gas temperature HIERARCH TNG INS CFCEXHAUST_T MEAN = 10.050000190734863 / MEAN CFC exhaust gas tHIERARCH TNG INS FEUADC1_T MIN = 18.95400047302246 / MIN ADC1 Temperature HIERARCH TNG INS FEUADC1_T MAX = 18.976999282836914 / MAX ADC1 Temperature HIERARCH TNG INS FEUADC1_T MEAN = 18.96660041809082 / MEAN ADC1 Temperature HIERARCH TNG INS OPBTOPR_T MIN = 17.291000366210938 / MIN Optical Bench top righHIERARCH TNG INS OPBTOPR_T MAX = 17.295000076293945 / MAX Optical Bench top righHIERARCH TNG INS OPBTOPR_T MEAN = 17.293048858642578 / MEAN Optical Bench top riHIERARCH TNG INS FEUGUIDEF1_T MIN = 19.06800079345703 / MIN Guide filter 1 Temp HIERARCH TNG INS FEUGUIDEF1_T MAX = 19.079999923706055 / MAX Guide filter 1 TempHIERARCH TNG INS FEUGUIDEF1_T MEAN = 19.07284927368164 / MEAN Guide filter 1 Te HIERARCH TNG INS OPBBOTL_T MIN = 17.29800033569336 / MIN Optical Bench bottom l HIERARCH TNG INS OPBBOTL_T MAX = 17.301000595092773 / MAX Optical Bench bottom lHIERARCH TNG INS OPBBOTL_T MEAN = 17.2992000579834 / MEAN Optical Bench bottom HIERARCH TNG INS CFCINVV_T MIN = 17.194000244140625 / MIN CFC Inside Vacuum VessHIERARCH TNG INS CFCINVV_T MAX = 17.19700050354004 / MAX CFC Inside Vacuum Vess HIERARCH TNG INS CFCINVV_T MEAN = 17.195350646972656 / MEAN CFC Inside Vacuum VeHIERARCH TNG INS INCABSPECTR_T MIN = 21.10700035095215 / MIN Temperature of Vac HIERARCH TNG INS INCABSPECTR_T MAX = 21.3700008392334 / MAX Temperature of Vac HIERARCH TNG INS INCABSPECTR_T MEAN = 21.23015022277832 / MEAN Temperature of VaHIERARCH TNG INS CFCOUTVV_T MIN = 14.484000205993652 / MIN Temperature of CryostHIERARCH TNG INS CFCOUTVV_T MAX = 14.508999824523926 / MAX Temperature of CryostHIERARCH TNG INS CFCOUTVV_T MEAN = 14.496500015258789 / MEAN Temperature of CryoHIERARCH TNG INS EMPTY6_T MIN = 0.0 / MIN Empty6 HIERARCH TNG INS EMPTY6_T MAX = 0.0 / MAX Empty6 HIERARCH TNG INS EMPTY6_T MEAN = 0.0 / MEAN Empty6 HIERARCH TNG INS PUMP_T MIN = -245.14999389648438 / MIN Pumpt or Spare HIERARCH TNG INS PUMP_T MAX = -245.14999389648438 / MAX Pumpt or Spare HIERARCH TNG INS PUMP_T MEAN = -245.14999389648438 / MEAN Pumpt or Spare HIERARCH TNG INS DCRATETOP_T MIN = 0.0 / MIN Detector rack temper HIERARCH TNG INS DCRATETOP_T MAX = 0.0 / MAX Detector rack temper HIERARCH TNG INS DCRATETOP_T MEAN = 0.0 / MEAN Detector rack tempe HIERARCH TNG INS FPCONTRL_T MIN = 22.00200080871582 / MIN Fabry Perot control teHIERARCH TNG INS FPCONTRL_T MAX = 22.006000518798828 / MAX Fabry Perot control tHIERARCH TNG INS FPCONTRL_T MEAN = 22.004600524902344 / MEAN Fabry Perot controlHIERARCH TNG INS VESSEL_P MIN = 1.9999999494757503E-4 / MIN Vacuum Vessel pressuHIERARCH TNG INS VESSEL_P MAX = 1.9999999494757503E-4 / MAX Vacuum Vessel pressuHIERARCH TNG INS VESSEL_P MEAN = 1.9999999494757503E-4 / MEAN Vacuum Vessel presHIERARCH TNG DRS VERSION = 'HARPN_3.7' / DRS version HIERARCH TNG DRS CCD SIGDET = 5. / CCD Readout Noise [e-] HIERARCH TNG DRS CCD CONAD = 1.65 / CCD conv factor [e-/ADU] HIERARCH TNG DRS CAL LOC FILE = 'HARPN.2019-08-26T15-48-14.164_loco_A.fits' / LoHIERARCH TNG DRS CAL LOC BCKGRD = 0.13716996583161 / mean background [%] HIERARCH TNG DRS CAL LOC NBO = 69 / nb orders localised HIERARCH TNG DRS CAL LOC DEG CTR = 4 / degree fit ctr ord HIERARCH TNG DRS CAL LOC DEG FWHM = 8 / degree fit width ord HIERARCH TNG DRS CAL LOC DEG ERROR = 3 / degree fit profile error HIERARCH TNG DRS CAL LOC PROFIL DELTA = 1.1 / param model 3gau HIERARCH TNG DRS CAL LOC CTR0 = 19.9657789952338 / Coeff center order0 HIERARCH TNG DRS CAL LOC CTR1 = 0.0267360927722988 / Coeff center order0 HIERARCH TNG DRS CAL LOC CTR2 = -5.2491600277665E-06 / Coeff center order0 HIERARCH TNG DRS CAL LOC CTR3 = -5.06690404944066E-11 / Coeff center order0 HIERARCH TNG DRS CAL LOC CTR4 = 2.63401031423473E-15 / Coeff center order0 HIERARCH TNG DRS CAL LOC CTR5 = 56.2680561217558 / Coeff center order1 HIERARCH TNG DRS CAL LOC CTR6 = 0.0265014285722043 / Coeff center order1 HIERARCH TNG DRS CAL LOC CTR7 = -5.15897229173436E-06 / Coeff center order1 HIERARCH TNG DRS CAL LOC CTR8 = -7.59503445424108E-11 / Coeff center order1 HIERARCH TNG DRS CAL LOC CTR9 = 5.90875312972055E-15 / Coeff center order1 HIERARCH TNG DRS CAL LOC CTR10 = 92.8901745083571 / Coeff center order2 HIERARCH TNG DRS CAL LOC CTR11 = 0.0264114951754042 / Coeff center order2 HIERARCH TNG DRS CAL LOC CTR12 = -5.2051008374974E-06 / Coeff center order2 HIERARCH TNG DRS CAL LOC CTR13 = -4.8571048397062E-11 / Coeff center order2 HIERARCH TNG DRS CAL LOC CTR14 = 2.34635482020711E-15 / Coeff center order2 HIERARCH TNG DRS CAL LOC CTR15 = 129.931543271836 / Coeff center order3 HIERARCH TNG DRS CAL LOC CTR16 = 0.0262788048353217 / Coeff center order3 HIERARCH TNG DRS CAL LOC CTR17 = -5.23134868549823E-06 / Coeff center order3 HIERARCH TNG DRS CAL LOC CTR18 = -2.91013119422617E-11 / Coeff center order3 HIERARCH TNG DRS CAL LOC CTR19 = 3.83420897267072E-17 / Coeff center order3 HIERARCH TNG DRS CAL LOC CTR20 = 167.388600027825 / Coeff center order4 HIERARCH TNG DRS CAL LOC CTR21 = 0.0260798944177342 / Coeff center order4 HIERARCH TNG DRS CAL LOC CTR22 = -5.18826628346194E-06 / Coeff center order4 HIERARCH TNG DRS CAL LOC CTR23 = -3.38676401008879E-11 / Coeff center order4 HIERARCH TNG DRS CAL LOC CTR24 = 4.84589990870608E-16 / Coeff center order4 HIERARCH TNG DRS CAL LOC CTR25 = 205.238118483536 / Coeff center order5 HIERARCH TNG DRS CAL LOC CTR26 = 0.0259090393316035 / Coeff center order5 HIERARCH TNG DRS CAL LOC CTR27 = -5.15789663181178E-06 / Coeff center order5 HIERARCH TNG DRS CAL LOC CTR28 = -3.85789936710417E-11 / Coeff center order5 HIERARCH TNG DRS CAL LOC CTR29 = 1.35967158694553E-15 / Coeff center order5 HIERARCH TNG DRS CAL LOC CTR30 = 243.509011660296 / Coeff center order6 HIERARCH TNG DRS CAL LOC CTR31 = 0.025757556226536 / Coeff center order6 HIERARCH TNG DRS CAL LOC CTR32 = -5.15214722299178E-06 / Coeff center order6 HIERARCH TNG DRS CAL LOC CTR33 = -3.31584110151543E-11 / Coeff center order6 HIERARCH TNG DRS CAL LOC CTR34 = 8.64021156691604E-16 / Coeff center order6 HIERARCH TNG DRS CAL LOC CTR35 = 282.204305166159 / Coeff center order7 HIERARCH TNG DRS CAL LOC CTR36 = 0.0255962190208948 / Coeff center order7 HIERARCH TNG DRS CAL LOC CTR37 = -5.14743365939706E-06 / Coeff center order7 HIERARCH TNG DRS CAL LOC CTR38 = -2.37696973159113E-11 / Coeff center order7 HIERARCH TNG DRS CAL LOC CTR39 = -4.71123052766619E-16 / Coeff center order7 HIERARCH TNG DRS CAL LOC CTR40 = 321.349574630773 / Coeff center order8 HIERARCH TNG DRS CAL LOC CTR41 = 0.0254045982934115 / Coeff center order8 HIERARCH TNG DRS CAL LOC CTR42 = -5.11400621749555E-06 / Coeff center order8 HIERARCH TNG DRS CAL LOC CTR43 = -2.71205361202844E-11 / Coeff center order8 HIERARCH TNG DRS CAL LOC CTR44 = 4.78577698035614E-17 / Coeff center order8 HIERARCH TNG DRS CAL LOC CTR45 = 360.941609944973 / Coeff center order9 HIERARCH TNG DRS CAL LOC CTR46 = 0.0251984471855105 / Coeff center order9 HIERARCH TNG DRS CAL LOC CTR47 = -5.07431924168877E-06 / Coeff center order9 HIERARCH TNG DRS CAL LOC CTR48 = -2.93450600432241E-11 / Coeff center order9 HIERARCH TNG DRS CAL LOC CTR49 = 1.20383288104419E-17 / Coeff center order9 HIERARCH TNG DRS CAL LOC CTR50 = 401.004987851999 / Coeff center order10 HIERARCH TNG DRS CAL LOC CTR51 = 0.0249801078656684 / Coeff center order10 HIERARCH TNG DRS CAL LOC CTR52 = -5.01911183362853E-06 / Coeff center order10 HIERARCH TNG DRS CAL LOC CTR53 = -4.10650737843938E-11 / Coeff center order10 HIERARCH TNG DRS CAL LOC CTR54 = 1.5844550740464E-15 / Coeff center order10 HIERARCH TNG DRS CAL LOC CTR55 = 441.495643445836 / Coeff center order11 HIERARCH TNG DRS CAL LOC CTR56 = 0.0248710130940451 / Coeff center order11 HIERARCH TNG DRS CAL LOC CTR57 = -5.07527946313356E-06 / Coeff center order11 HIERARCH TNG DRS CAL LOC CTR58 = -1.04968057101586E-11 / Coeff center order11 HIERARCH TNG DRS CAL LOC CTR59 = -2.13487533799496E-15 / Coeff center order11 HIERARCH TNG DRS CAL LOC CTR60 = 482.488997828959 / Coeff center order12 HIERARCH TNG DRS CAL LOC CTR61 = 0.0246727446518604 / Coeff center order12 HIERARCH TNG DRS CAL LOC CTR62 = -5.04093890817943E-06 / Coeff center order12 HIERARCH TNG DRS CAL LOC CTR63 = -1.44209022816793E-11 / Coeff center order12 HIERARCH TNG DRS CAL LOC CTR64 = -1.56419894577504E-15 / Coeff center order12 HIERARCH TNG DRS CAL LOC CTR65 = 523.965980887476 / Coeff center order13 HIERARCH TNG DRS CAL LOC CTR66 = 0.0244835263745945 / Coeff center order13 HIERARCH TNG DRS CAL LOC CTR67 = -5.02202862519751E-06 / Coeff center order13 HIERARCH TNG DRS CAL LOC CTR68 = -1.14473388115064E-11 / Coeff center order13 HIERARCH TNG DRS CAL LOC CTR69 = -1.86450372527276E-15 / Coeff center order13 HIERARCH TNG DRS CAL LOC CTR70 = 565.950204388893 / Coeff center order14 HIERARCH TNG DRS CAL LOC CTR71 = 0.024253987066022 / Coeff center order14 HIERARCH TNG DRS CAL LOC CTR72 = -4.96840622366985E-06 / Coeff center order14 HIERARCH TNG DRS CAL LOC CTR73 = -1.96148964721845E-11 / Coeff center order14 HIERARCH TNG DRS CAL LOC CTR74 = -1.05386174309045E-15 / Coeff center order14 HIERARCH TNG DRS CAL LOC CTR75 = 608.504716761812 / Coeff center order15 HIERARCH TNG DRS CAL LOC CTR76 = 0.0238706345360509 / Coeff center order15 HIERARCH TNG DRS CAL LOC CTR77 = -4.79377570674087E-06 / Coeff center order15 HIERARCH TNG DRS CAL LOC CTR78 = -6.61444602250328E-11 / Coeff center order15 HIERARCH TNG DRS CAL LOC CTR79 = 3.95321718400676E-15 / Coeff center order15 HIERARCH TNG DRS CAL LOC CTR80 = 651.434024446036 / Coeff center order16 HIERARCH TNG DRS CAL LOC CTR81 = 0.0240426463967438 / Coeff center order16 HIERARCH TNG DRS CAL LOC CTR82 = -5.13743381919472E-06 / Coeff center order16 HIERARCH TNG DRS CAL LOC CTR83 = 6.28405352692796E-11 / Coeff center order16 HIERARCH TNG DRS CAL LOC CTR84 = -1.07376868833637E-14 / Coeff center order16 HIERARCH TNG DRS CAL LOC CTR85 = 694.92783652595 / Coeff center order17 HIERARCH TNG DRS CAL LOC CTR86 = 0.0238270216009034 / Coeff center order17 HIERARCH TNG DRS CAL LOC CTR87 = -4.99860502156722E-06 / Coeff center order17 HIERARCH TNG DRS CAL LOC CTR88 = 2.52549445948666E-12 / Coeff center order17 HIERARCH TNG DRS CAL LOC CTR89 = -2.17736553748704E-15 / Coeff center order17 HIERARCH TNG DRS CAL LOC CTR90 = 739.109172209211 / Coeff center order18 HIERARCH TNG DRS CAL LOC CTR91 = 0.0232232331249386 / Coeff center order18 HIERARCH TNG DRS CAL LOC CTR92 = -4.63530167786996E-06 / Coeff center order18 HIERARCH TNG DRS CAL LOC CTR93 = -9.38842784025572E-11 / Coeff center order18 HIERARCH TNG DRS CAL LOC CTR94 = 6.91547780034263E-15 / Coeff center order18 HIERARCH TNG DRS CAL LOC CTR95 = 783.729205700521 / Coeff center order19 HIERARCH TNG DRS CAL LOC CTR96 = 0.0232038355524783 / Coeff center order19 HIERARCH TNG DRS CAL LOC CTR97 = -4.83178236347493E-06 / Coeff center order19 HIERARCH TNG DRS CAL LOC CTR98 = -1.64739852174159E-11 / Coeff center order19 HIERARCH TNG DRS CAL LOC CTR99 = -1.51094316879924E-15 / Coeff center order19 HIERARCH TNG DRS CAL LOC CTR100 = 828.920811636748 / Coeff center order20 HIERARCH TNG DRS CAL LOC CTR101 = 0.0230082062543429 / Coeff center order20 HIERARCH TNG DRS CAL LOC CTR102 = -4.80870288345222E-06 / Coeff center order20 HIERARCH TNG DRS CAL LOC CTR103 = -1.69496685736157E-11 / Coeff center order20 HIERARCH TNG DRS CAL LOC CTR104 = -1.23705632294515E-15 / Coeff center order20 HIERARCH TNG DRS CAL LOC CTR105 = 874.717943418494 / Coeff center order21 HIERARCH TNG DRS CAL LOC CTR106 = 0.0227882880191003 / Coeff center order21 HIERARCH TNG DRS CAL LOC CTR107 = -4.78492104384003E-06 / Coeff center order21 HIERARCH TNG DRS CAL LOC CTR108 = -1.42517657262125E-11 / Coeff center order21 HIERARCH TNG DRS CAL LOC CTR109 = -1.61166411789742E-15 / Coeff center order21 HIERARCH TNG DRS CAL LOC CTR110 = 921.127201019514 / Coeff center order22 HIERARCH TNG DRS CAL LOC CTR111 = 0.0225234956480054 / Coeff center order22 HIERARCH TNG DRS CAL LOC CTR112 = -4.72178882245051E-06 / Coeff center order22 HIERARCH TNG DRS CAL LOC CTR113 = -2.50005233278387E-11 / Coeff center order22 HIERARCH TNG DRS CAL LOC CTR114 = -4.38279165591423E-16 / Coeff center order22 HIERARCH TNG DRS CAL LOC CTR115 = 968.130928666976 / Coeff center order23 HIERARCH TNG DRS CAL LOC CTR116 = 0.0223244755840713 / Coeff center order23 HIERARCH TNG DRS CAL LOC CTR117 = -4.72577889427265E-06 / Coeff center order23 HIERARCH TNG DRS CAL LOC CTR118 = -1.18338664159265E-11 / Coeff center order23 HIERARCH TNG DRS CAL LOC CTR119 = -2.0177108244387E-15 / Coeff center order23 HIERARCH TNG DRS CAL LOC CTR120 = 1015.74674641141 / Coeff center order24 HIERARCH TNG DRS CAL LOC CTR121 = 0.0221455529446091 / Coeff center order24 HIERARCH TNG DRS CAL LOC CTR122 = -4.73031737906632E-06 / Coeff center order24 HIERARCH TNG DRS CAL LOC CTR123 = -2.90333046094882E-12 / Coeff center order24 HIERARCH TNG DRS CAL LOC CTR124 = -2.80561222115891E-15 / Coeff center order24 HIERARCH TNG DRS CAL LOC CTR125 = 1064.01269049916 / Coeff center order25 HIERARCH TNG DRS CAL LOC CTR126 = 0.0218908903906748 / Coeff center order25 HIERARCH TNG DRS CAL LOC CTR127 = -4.66472445888773E-06 / Coeff center order25 HIERARCH TNG DRS CAL LOC CTR128 = -1.64819517311685E-11 / Coeff center order25 HIERARCH TNG DRS CAL LOC CTR129 = -1.21524262884785E-15 / Coeff center order25 HIERARCH TNG DRS CAL LOC CTR130 = 1112.93900416531 / Coeff center order26 HIERARCH TNG DRS CAL LOC CTR131 = 0.0216278163930941 / Coeff center order26 HIERARCH TNG DRS CAL LOC CTR132 = -4.61547355885291E-06 / Coeff center order26 HIERARCH TNG DRS CAL LOC CTR133 = -2.0139689073391E-11 / Coeff center order26 HIERARCH TNG DRS CAL LOC CTR134 = -1.00682633012653E-15 / Coeff center order26 HIERARCH TNG DRS CAL LOC CTR135 = 1162.53194557509 / Coeff center order27 HIERARCH TNG DRS CAL LOC CTR136 = 0.0214072777698602 / Coeff center order27 HIERARCH TNG DRS CAL LOC CTR137 = -4.60871214807747E-06 / Coeff center order27 HIERARCH TNG DRS CAL LOC CTR138 = -1.15640595783391E-11 / Coeff center order27 HIERARCH TNG DRS CAL LOC CTR139 = -1.93262691789784E-15 / Coeff center order27 HIERARCH TNG DRS CAL LOC CTR140 = 1212.82341570787 / Coeff center order28 HIERARCH TNG DRS CAL LOC CTR141 = 0.0211440335701079 / Coeff center order28 HIERARCH TNG DRS CAL LOC CTR142 = -4.56667277431467E-06 / Coeff center order28 HIERARCH TNG DRS CAL LOC CTR143 = -1.37055422805677E-11 / Coeff center order28 HIERARCH TNG DRS CAL LOC CTR144 = -1.8114139862934E-15 / Coeff center order28 HIERARCH TNG DRS CAL LOC CTR145 = 1263.7956014611 / Coeff center order29 HIERARCH TNG DRS CAL LOC CTR146 = 0.0209413184411706 / Coeff center order29 HIERARCH TNG DRS CAL LOC CTR147 = -4.57314573351466E-06 / Coeff center order29 HIERARCH TNG DRS CAL LOC CTR148 = -1.4090728267231E-12 / Coeff center order29 HIERARCH TNG DRS CAL LOC CTR149 = -3.11851444287345E-15 / Coeff center order29 HIERARCH TNG DRS CAL LOC CTR150 = 1315.50452143361 / Coeff center order30 HIERARCH TNG DRS CAL LOC CTR151 = 0.0206858995605815 / Coeff center order30 HIERARCH TNG DRS CAL LOC CTR152 = -4.53055386792425E-06 / Coeff center order30 HIERARCH TNG DRS CAL LOC CTR153 = -6.729415635101E-12 / Coeff center order30 HIERARCH TNG DRS CAL LOC CTR154 = -2.32871685859062E-15 / Coeff center order30 HIERARCH TNG DRS CAL LOC CTR155 = 1367.96459441524 / Coeff center order31 HIERARCH TNG DRS CAL LOC CTR156 = 0.020405249585918 / Coeff center order31 HIERARCH TNG DRS CAL LOC CTR157 = -4.48346760932977E-06 / Coeff center order31 HIERARCH TNG DRS CAL LOC CTR158 = -9.31547859767359E-12 / Coeff center order31 HIERARCH TNG DRS CAL LOC CTR159 = -2.22382418716437E-15 / Coeff center order31 HIERARCH TNG DRS CAL LOC CTR160 = 1421.18185469109 / Coeff center order32 HIERARCH TNG DRS CAL LOC CTR161 = 0.0201377932087115 / Coeff center order32 HIERARCH TNG DRS CAL LOC CTR162 = -4.44508208361083E-06 / Coeff center order32 HIERARCH TNG DRS CAL LOC CTR163 = -1.14105813085997E-11 / Coeff center order32 HIERARCH TNG DRS CAL LOC CTR164 = -1.91981110410442E-15 / Coeff center order32 HIERARCH TNG DRS CAL LOC CTR165 = 1475.15379999671 / Coeff center order33 HIERARCH TNG DRS CAL LOC CTR166 = 0.019934652147019 / Coeff center order33 HIERARCH TNG DRS CAL LOC CTR167 = -4.46357763797928E-06 / Coeff center order33 HIERARCH TNG DRS CAL LOC CTR168 = 5.27941711339247E-12 / Coeff center order33 HIERARCH TNG DRS CAL LOC CTR169 = -3.70849522498609E-15 / Coeff center order33 HIERARCH TNG DRS CAL LOC CTR170 = 1529.92297967076 / Coeff center order34 HIERARCH TNG DRS CAL LOC CTR171 = 0.0196620462259316 / Coeff center order34 HIERARCH TNG DRS CAL LOC CTR172 = -4.39323724491465E-06 / Coeff center order34 HIERARCH TNG DRS CAL LOC CTR173 = -1.258760183278E-11 / Coeff center order34 HIERARCH TNG DRS CAL LOC CTR174 = -1.28929612683854E-15 / Coeff center order34 HIERARCH TNG DRS CAL LOC CTR175 = 1585.52981080674 / Coeff center order35 HIERARCH TNG DRS CAL LOC CTR176 = 0.019330716539709 / Coeff center order35 HIERARCH TNG DRS CAL LOC CTR177 = -4.32504513155206E-06 / Coeff center order35 HIERARCH TNG DRS CAL LOC CTR178 = -1.61567269590775E-11 / Coeff center order35 HIERARCH TNG DRS CAL LOC CTR179 = -1.57380025696223E-15 / Coeff center order35 HIERARCH TNG DRS CAL LOC CTR180 = 1641.96579469632 / Coeff center order36 HIERARCH TNG DRS CAL LOC CTR181 = 0.0190490742375602 / Coeff center order36 HIERARCH TNG DRS CAL LOC CTR182 = -4.2965686776773E-06 / Coeff center order36 HIERARCH TNG DRS CAL LOC CTR183 = -1.37042296687167E-11 / Coeff center order36 HIERARCH TNG DRS CAL LOC CTR184 = -1.74286912435222E-15 / Coeff center order36 HIERARCH TNG DRS CAL LOC CTR185 = 1699.25449802668 / Coeff center order37 HIERARCH TNG DRS CAL LOC CTR186 = 0.0187808638999574 / Coeff center order37 HIERARCH TNG DRS CAL LOC CTR187 = -4.27897468055928E-06 / Coeff center order37 HIERARCH TNG DRS CAL LOC CTR188 = -6.40581629952808E-12 / Coeff center order37 HIERARCH TNG DRS CAL LOC CTR189 = -2.67288211995287E-15 / Coeff center order37 HIERARCH TNG DRS CAL LOC CTR190 = 1757.41826665786 / Coeff center order38 HIERARCH TNG DRS CAL LOC CTR191 = 0.0185247593733755 / Coeff center order38 HIERARCH TNG DRS CAL LOC CTR192 = -4.2570088543733E-06 / Coeff center order38 HIERARCH TNG DRS CAL LOC CTR193 = -5.57796412292166E-12 / Coeff center order38 HIERARCH TNG DRS CAL LOC CTR194 = -2.38113209337194E-15 / Coeff center order38 HIERARCH TNG DRS CAL LOC CTR195 = 1816.48898962275 / Coeff center order39 HIERARCH TNG DRS CAL LOC CTR196 = 0.0182351725814417 / Coeff center order39 HIERARCH TNG DRS CAL LOC CTR197 = -4.20962798131845E-06 / Coeff center order39 HIERARCH TNG DRS CAL LOC CTR198 = -9.96932126318605E-12 / Coeff center order39 HIERARCH TNG DRS CAL LOC CTR199 = -1.92917414893478E-15 / Coeff center order39 HIERARCH TNG DRS CAL LOC CTR200 = 1876.50248026885 / Coeff center order40 HIERARCH TNG DRS CAL LOC CTR201 = 0.0179174098460886 / Coeff center order40 HIERARCH TNG DRS CAL LOC CTR202 = -4.15893332773489E-06 / Coeff center order40 HIERARCH TNG DRS CAL LOC CTR203 = -1.10312716071666E-11 / Coeff center order40 HIERARCH TNG DRS CAL LOC CTR204 = -2.15288450197419E-15 / Coeff center order40 HIERARCH TNG DRS CAL LOC CTR205 = 1937.47261669002 / Coeff center order41 HIERARCH TNG DRS CAL LOC CTR206 = 0.0176094648694708 / Coeff center order41 HIERARCH TNG DRS CAL LOC CTR207 = -4.11806973148148E-06 / Coeff center order41 HIERARCH TNG DRS CAL LOC CTR208 = -1.26184950514256E-11 / Coeff center order41 HIERARCH TNG DRS CAL LOC CTR209 = -1.84336935866222E-15 / Coeff center order41 HIERARCH TNG DRS CAL LOC CTR210 = 1999.38151930888 / Coeff center order42 HIERARCH TNG DRS CAL LOC CTR211 = 0.0173993327251891 / Coeff center order42 HIERARCH TNG DRS CAL LOC CTR212 = -4.15079667137685E-06 / Coeff center order42 HIERARCH TNG DRS CAL LOC CTR213 = 8.21019900936671E-12 / Coeff center order42 HIERARCH TNG DRS CAL LOC CTR214 = -3.96187735336238E-15 / Coeff center order42 HIERARCH TNG DRS CAL LOC CTR215 = 2062.3111484719 / Coeff center order43 HIERARCH TNG DRS CAL LOC CTR216 = 0.0170642446654329 / Coeff center order43 HIERARCH TNG DRS CAL LOC CTR217 = -4.0672575211282E-06 / Coeff center order43 HIERARCH TNG DRS CAL LOC CTR218 = -8.74750411560149E-12 / Coeff center order43 HIERARCH TNG DRS CAL LOC CTR219 = -2.01033824290666E-15 / Coeff center order43 HIERARCH TNG DRS CAL LOC CTR220 = 2126.26813477765 / Coeff center order44 HIERARCH TNG DRS CAL LOC CTR221 = 0.0167615129127156 / Coeff center order44 HIERARCH TNG DRS CAL LOC CTR222 = -4.04750006060684E-06 / Coeff center order44 HIERARCH TNG DRS CAL LOC CTR223 = 1.24012360354693E-12 / Coeff center order44 HIERARCH TNG DRS CAL LOC CTR224 = -3.40282684274727E-15 / Coeff center order44 HIERARCH TNG DRS CAL LOC CTR225 = 2191.28053107022 / Coeff center order45 HIERARCH TNG DRS CAL LOC CTR226 = 0.0164480238925191 / Coeff center order45 HIERARCH TNG DRS CAL LOC CTR227 = -4.01075776205855E-06 / Coeff center order45 HIERARCH TNG DRS CAL LOC CTR228 = 1.64205231321583E-12 / Coeff center order45 HIERARCH TNG DRS CAL LOC CTR229 = -3.36827774672726E-15 / Coeff center order45 HIERARCH TNG DRS CAL LOC CTR230 = 2257.39192995056 / Coeff center order46 HIERARCH TNG DRS CAL LOC CTR231 = 0.0161044458383997 / Coeff center order46 HIERARCH TNG DRS CAL LOC CTR232 = -3.95336475609697E-06 / Coeff center order46 HIERARCH TNG DRS CAL LOC CTR233 = -4.21019890981616E-12 / Coeff center order46 HIERARCH TNG DRS CAL LOC CTR234 = -2.67083779106308E-15 / Coeff center order46 HIERARCH TNG DRS CAL LOC CTR235 = 2324.62377613772 / Coeff center order47 HIERARCH TNG DRS CAL LOC CTR236 = 0.0158101785232679 / Coeff center order47 HIERARCH TNG DRS CAL LOC CTR237 = -3.94571752814756E-06 / Coeff center order47 HIERARCH TNG DRS CAL LOC CTR238 = 6.17645224926214E-12 / Coeff center order47 HIERARCH TNG DRS CAL LOC CTR239 = -3.74738697977259E-15 / Coeff center order47 HIERARCH TNG DRS CAL LOC CTR240 = 2393.01427536866 / Coeff center order48 HIERARCH TNG DRS CAL LOC CTR241 = 0.0155004593763388 / Coeff center order48 HIERARCH TNG DRS CAL LOC CTR242 = -3.91276356049255E-06 / Coeff center order48 HIERARCH TNG DRS CAL LOC CTR243 = 6.67229868100823E-12 / Coeff center order48 HIERARCH TNG DRS CAL LOC CTR244 = -3.68629004224223E-15 / Coeff center order48 HIERARCH TNG DRS CAL LOC CTR245 = 2462.61878087489 / Coeff center order49 HIERARCH TNG DRS CAL LOC CTR246 = 0.0151246619588245 / Coeff center order49 HIERARCH TNG DRS CAL LOC CTR247 = -3.84600578567764E-06 / Coeff center order49 HIERARCH TNG DRS CAL LOC CTR248 = 1.15060528706784E-12 / Coeff center order49 HIERARCH TNG DRS CAL LOC CTR249 = -3.33612501553077E-15 / Coeff center order49 HIERARCH TNG DRS CAL LOC CTR250 = 2533.42639245179 / Coeff center order50 HIERARCH TNG DRS CAL LOC CTR251 = 0.0147828359504986 / Coeff center order50 HIERARCH TNG DRS CAL LOC CTR252 = -3.80679405631209E-06 / Coeff center order50 HIERARCH TNG DRS CAL LOC CTR253 = 2.69688864371374E-12 / Coeff center order50 HIERARCH TNG DRS CAL LOC CTR254 = -3.5510347351467E-15 / Coeff center order50 HIERARCH TNG DRS CAL LOC CTR255 = 2605.48845332724 / Coeff center order51 HIERARCH TNG DRS CAL LOC CTR256 = 0.0144308198788267 / Coeff center order51 HIERARCH TNG DRS CAL LOC CTR257 = -3.75894883988181E-06 / Coeff center order51 HIERARCH TNG DRS CAL LOC CTR258 = 6.71342388763345E-13 / Coeff center order51 HIERARCH TNG DRS CAL LOC CTR259 = -3.26441458572791E-15 / Coeff center order51 HIERARCH TNG DRS CAL LOC CTR260 = 2678.82889129246 / Coeff center order52 HIERARCH TNG DRS CAL LOC CTR261 = 0.0140702889035972 / Coeff center order52 HIERARCH TNG DRS CAL LOC CTR262 = -3.70894066815461E-06 / Coeff center order52 HIERARCH TNG DRS CAL LOC CTR263 = -9.60034068286316E-13 / Coeff center order52 HIERARCH TNG DRS CAL LOC CTR264 = -3.09071187681145E-15 / Coeff center order52 HIERARCH TNG DRS CAL LOC CTR265 = 2753.511278813 / Coeff center order53 HIERARCH TNG DRS CAL LOC CTR266 = 0.0136824796946561 / Coeff center order53 HIERARCH TNG DRS CAL LOC CTR267 = -3.65309942610359E-06 / Coeff center order53 HIERARCH TNG DRS CAL LOC CTR268 = -2.63671621988897E-12 / Coeff center order53 HIERARCH TNG DRS CAL LOC CTR269 = -3.0033053247019E-15 / Coeff center order53 HIERARCH TNG DRS CAL LOC CTR270 = 2829.59998874922 / Coeff center order54 HIERARCH TNG DRS CAL LOC CTR271 = 0.0133185392207126 / Coeff center order54 HIERARCH TNG DRS CAL LOC CTR272 = -3.63138759828789E-06 / Coeff center order54 HIERARCH TNG DRS CAL LOC CTR273 = 5.34430422784216E-12 / Coeff center order54 HIERARCH TNG DRS CAL LOC CTR274 = -3.83054986108967E-15 / Coeff center order54 HIERARCH TNG DRS CAL LOC CTR275 = 2907.10556449637 / Coeff center order55 HIERARCH TNG DRS CAL LOC CTR276 = 0.0129640755975773 / Coeff center order55 HIERARCH TNG DRS CAL LOC CTR277 = -3.59448961703428E-06 / Coeff center order55 HIERARCH TNG DRS CAL LOC CTR278 = 4.75796923917227E-12 / Coeff center order55 HIERARCH TNG DRS CAL LOC CTR279 = -3.53351121825458E-15 / Coeff center order55 HIERARCH TNG DRS CAL LOC CTR280 = 2986.06391448274 / Coeff center order56 HIERARCH TNG DRS CAL LOC CTR281 = 0.0125421745918716 / Coeff center order56 HIERARCH TNG DRS CAL LOC CTR282 = -3.50704477916513E-06 / Coeff center order56 HIERARCH TNG DRS CAL LOC CTR283 = -7.40782733055736E-12 / Coeff center order56 HIERARCH TNG DRS CAL LOC CTR284 = -2.34382004748001E-15 / Coeff center order56 HIERARCH TNG DRS CAL LOC CTR285 = 3066.48409821682 / Coeff center order57 HIERARCH TNG DRS CAL LOC CTR286 = 0.0121852282137962 / Coeff center order57 HIERARCH TNG DRS CAL LOC CTR287 = -3.48273230795533E-06 / Coeff center order57 HIERARCH TNG DRS CAL LOC CTR288 = -2.73583570946434E-13 / Coeff center order57 HIERARCH TNG DRS CAL LOC CTR289 = -3.06599669223042E-15 / Coeff center order57 HIERARCH TNG DRS CAL LOC CTR290 = 3148.4468222132 / Coeff center order58 HIERARCH TNG DRS CAL LOC CTR291 = 0.0117638117801825 / Coeff center order58 HIERARCH TNG DRS CAL LOC CTR292 = -3.40426795145173E-06 / Coeff center order58 HIERARCH TNG DRS CAL LOC CTR293 = -1.0929007226101E-11 / Coeff center order58 HIERARCH TNG DRS CAL LOC CTR294 = -1.82023264594524E-15 / Coeff center order58 HIERARCH TNG DRS CAL LOC CTR295 = 3232.03294530055 / Coeff center order59 HIERARCH TNG DRS CAL LOC CTR296 = 0.0113411216882424 / Coeff center order59 HIERARCH TNG DRS CAL LOC CTR297 = -3.35800356798211E-06 / Coeff center order59 HIERARCH TNG DRS CAL LOC CTR298 = -6.68788898791565E-12 / Coeff center order59 HIERARCH TNG DRS CAL LOC CTR299 = -2.51222809556661E-15 / Coeff center order59 HIERARCH TNG DRS CAL LOC CTR300 = 3317.25914301909 / Coeff center order60 HIERARCH TNG DRS CAL LOC CTR301 = 0.0109688934351469 / Coeff center order60 HIERARCH TNG DRS CAL LOC CTR302 = -3.35227660753478E-06 / Coeff center order60 HIERARCH TNG DRS CAL LOC CTR303 = 8.50818839274675E-12 / Coeff center order60 HIERARCH TNG DRS CAL LOC CTR304 = -4.22115775915888E-15 / Coeff center order60 HIERARCH TNG DRS CAL LOC CTR305 = 3404.12032473452 / Coeff center order61 HIERARCH TNG DRS CAL LOC CTR306 = 0.0105873422347572 / Coeff center order61 HIERARCH TNG DRS CAL LOC CTR307 = -3.28619521494411E-06 / Coeff center order61 HIERARCH TNG DRS CAL LOC CTR308 = -4.21648503721299E-12 / Coeff center order61 HIERARCH TNG DRS CAL LOC CTR309 = -2.27373848156298E-15 / Coeff center order61 HIERARCH TNG DRS CAL LOC CTR310 = 3492.84214442197 / Coeff center order62 HIERARCH TNG DRS CAL LOC CTR311 = 0.0100561101660504 / Coeff center order62 HIERARCH TNG DRS CAL LOC CTR312 = -3.19998768799276E-06 / Coeff center order62 HIERARCH TNG DRS CAL LOC CTR313 = -4.62498587059452E-12 / Coeff center order62 HIERARCH TNG DRS CAL LOC CTR314 = -2.93975493860942E-15 / Coeff center order62 HIERARCH TNG DRS CAL LOC CTR315 = 3583.36779721494 / Coeff center order63 HIERARCH TNG DRS CAL LOC CTR316 = 0.00972441590321443 / Coeff center order63 HIERARCH TNG DRS CAL LOC CTR317 = -3.23256504778545E-06 / Coeff center order63 HIERARCH TNG DRS CAL LOC CTR318 = 1.57453262767071E-11 / Coeff center order63 HIERARCH TNG DRS CAL LOC CTR319 = -4.57246553037929E-15 / Coeff center order63 HIERARCH TNG DRS CAL LOC CTR320 = 3675.6077289324 / Coeff center order64 HIERARCH TNG DRS CAL LOC CTR321 = 0.00932738738406883 / Coeff center order64 HIERARCH TNG DRS CAL LOC CTR322 = -3.11846481807988E-06 / Coeff center order64 HIERARCH TNG DRS CAL LOC CTR323 = -1.24655957312319E-11 / Coeff center order64 HIERARCH TNG DRS CAL LOC CTR324 = -1.25416835973357E-15 / Coeff center order64 HIERARCH TNG DRS CAL LOC CTR325 = 3769.97522718983 / Coeff center order65 HIERARCH TNG DRS CAL LOC CTR326 = 0.00866521373317266 / Coeff center order65 HIERARCH TNG DRS CAL LOC CTR327 = -3.00890503666423E-06 / Coeff center order65 HIERARCH TNG DRS CAL LOC CTR328 = -9.63620309158739E-12 / Coeff center order65 HIERARCH TNG DRS CAL LOC CTR329 = -2.60786082517827E-15 / Coeff center order65 HIERARCH TNG DRS CAL LOC CTR330 = 3866.43776296551 / Coeff center order66 HIERARCH TNG DRS CAL LOC CTR331 = 0.00831691357535404 / Coeff center order66 HIERARCH TNG DRS CAL LOC CTR332 = -3.08367811676437E-06 / Coeff center order66 HIERARCH TNG DRS CAL LOC CTR333 = 2.209696281319E-11 / Coeff center order66 HIERARCH TNG DRS CAL LOC CTR334 = -4.94546328735877E-15 / Coeff center order66 HIERARCH TNG DRS CAL LOC CTR335 = 3964.83922157182 / Coeff center order67 HIERARCH TNG DRS CAL LOC CTR336 = 0.00782826582566117 / Coeff center order67 HIERARCH TNG DRS CAL LOC CTR337 = -2.92305232929786E-06 / Coeff center order67 HIERARCH TNG DRS CAL LOC CTR338 = -1.81824729661011E-11 / Coeff center order67 HIERARCH TNG DRS CAL LOC CTR339 = -7.23006396256831E-16 / Coeff center order67 HIERARCH TNG DRS CAL LOC CTR340 = 4065.25590483837 / Coeff center order68 HIERARCH TNG DRS CAL LOC CTR341 = 0.00736310403676589 / Coeff center order68 HIERARCH TNG DRS CAL LOC CTR342 = -2.87008525999152E-06 / Coeff center order68 HIERARCH TNG DRS CAL LOC CTR343 = -8.54113717659712E-12 / Coeff center order68 HIERARCH TNG DRS CAL LOC CTR344 = -2.3457226845611E-15 / Coeff center order68 HIERARCH TNG DRS CAL LOC FWHM0 = 3.96330600492836 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM1 = -0.0017228555809391 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM2 = 4.42320230861956E-07 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM3 = -3.96918551156818E-10 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM4 = 9.24257846253375E-13 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM5 = -7.60947915916376E-16 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM6 = 2.90380537854698E-19 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM7 = -5.33000282632449E-23 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM8 = 3.81813169846312E-27 / Coeff fwhm order0 HIERARCH TNG DRS CAL LOC FWHM9 = 3.89118663301346 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM10 = -0.00194364364341129 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM11 = 1.08670520535047E-06 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM12 = -1.09096605439736E-09 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM13 = 1.28101411334091E-12 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM14 = -8.40110494672714E-16 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM15 = 2.89853570239895E-19 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM16 = -5.02734431859036E-23 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM17 = 3.4717767070611E-27 / Coeff fwhm order1 HIERARCH TNG DRS CAL LOC FWHM18 = 3.71513954402728 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM19 = -0.0014491319590251 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM20 = -7.18814525712994E-07 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM21 = 2.54667252190046E-09 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM22 = -2.51521093891427E-12 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM23 = 1.32280624781194E-15 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM24 = -3.90008552267168E-19 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM25 = 6.04030416814414E-23 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM26 = -3.8147163364466E-27 / Coeff fwhm order2 HIERARCH TNG DRS CAL LOC FWHM27 = 3.72315341331302 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM28 = -0.00255050293772151 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM29 = 3.51210651918492E-06 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM30 = -4.69206985193742E-09 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM31 = 4.0711501849851E-12 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM32 = -2.06371447143887E-15 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM33 = 5.9461974004414E-19 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM34 = -9.03343532209337E-23 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM35 = 5.62034864306561E-27 / Coeff fwhm order3 HIERARCH TNG DRS CAL LOC FWHM36 = 3.59639159784433 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM37 = -0.00205865154570852 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM38 = 1.91579578896209E-06 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM39 = -2.07992461825666E-09 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM40 = 1.77366130333238E-12 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM41 = -9.26806958332332E-16 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM42 = 2.78924599640486E-19 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM43 = -4.45835303245243E-23 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM44 = 2.93487856442559E-27 / Coeff fwhm order4 HIERARCH TNG DRS CAL LOC FWHM45 = 3.46391137356698 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM46 = -0.00171654895815021 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM47 = 1.22074803953738E-06 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM48 = -1.41496239851971E-09 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM49 = 1.49034355328336E-12 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM50 = -8.92873742726614E-16 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM51 = 2.89719800158051E-19 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM52 = -4.80029806437982E-23 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM53 = 3.19148838481564E-27 / Coeff fwhm order5 HIERARCH TNG DRS CAL LOC FWHM54 = 3.37156490486943 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM55 = -0.00165911586445309 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM56 = 1.13594503375512E-06 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM57 = -1.0658466559992E-09 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM58 = 9.77276015812087E-13 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM59 = -5.47046164289159E-16 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM60 = 1.70817380752205E-19 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM61 = -2.7706098358936E-23 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM62 = 1.8263307884261E-27 / Coeff fwhm order6 HIERARCH TNG DRS CAL LOC FWHM63 = 3.29640399663556 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM64 = -0.00152090200193129 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM65 = 6.95328941784777E-07 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM66 = -4.16658689143171E-10 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM67 = 5.17286578508494E-13 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM68 = -3.73510847721305E-16 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM69 = 1.35184765878216E-19 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM70 = -2.39772424140397E-23 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM71 = 1.67269888845982E-27 / Coeff fwhm order7 HIERARCH TNG DRS CAL LOC FWHM72 = 3.24440032053243 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM73 = -0.00161111147541146 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM74 = 1.12545933995943E-06 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM75 = -1.10605318325979E-09 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM76 = 1.09336333663302E-12 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM77 = -6.46219543114262E-16 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM78 = 2.08568292026499E-19 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM79 = -3.44267439704328E-23 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM80 = 2.28328874089179E-27 / Coeff fwhm order8 HIERARCH TNG DRS CAL LOC FWHM81 = 3.18349546965163 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM82 = -0.00133522751551759 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM83 = 1.69081694283331E-08 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM84 = 9.28501007741652E-10 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM85 = -8.65044047803581E-13 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM86 = 4.13689409966727E-16 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM87 = -1.15161709037298E-19 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM88 = 1.75492657008561E-23 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM89 = -1.12144477487701E-27 / Coeff fwhm order9 HIERARCH TNG DRS CAL LOC FWHM90 = 3.12569543568474 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM91 = -0.00129024251922189 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM92 = 2.37505776567184E-07 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM93 = 1.98750078308451E-10 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM94 = 3.5872522838459E-14 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM95 = -1.45446459120202E-16 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM96 = 6.99674701418328E-20 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM97 = -1.3644793109837E-23 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM98 = 9.80630054556993E-28 / Coeff fwhm order10 HIERARCH TNG DRS CAL LOC FWHM99 = 3.1424369386524 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM100 = -0.00190487567635818 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM101 = 2.34228275183726E-06 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM102 = -2.99033575818854E-09 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM103 = 2.61623752320747E-12 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM104 = -1.33918780692227E-15 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM105 = 3.86674260508957E-19 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM106 = -5.84779564434083E-23 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM107 = 3.60482729718246E-27 / Coeff fwhm order11 HIERARCH TNG DRS CAL LOC FWHM108 = 3.06865621895268 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM109 = -0.00139860341594161 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM110 = 7.09536897845932E-07 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM111 = -4.31407632426475E-10 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM112 = 4.40418609749298E-13 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM113 = -2.83809044421791E-16 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM114 = 9.52925494518598E-20 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM115 = -1.5908145120477E-23 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM116 = 1.05244020376655E-27 / Coeff fwhm order12 HIERARCH TNG DRS CAL LOC FWHM117 = 3.06285499665909 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM118 = -0.00183365963909911 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM119 = 2.35769225366454E-06 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM120 = -3.07790428693927E-09 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM121 = 2.6742905916351E-12 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM122 = -1.3483711014212E-15 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM123 = 3.83141293154834E-19 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM124 = -5.70716765758456E-23 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM125 = 3.46915807884562E-27 / Coeff fwhm order13 HIERARCH TNG DRS CAL LOC FWHM126 = 3.03135748353718 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM127 = -0.00170816923999587 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM128 = 2.03036425065393E-06 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM129 = -2.54588473644868E-09 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM130 = 2.17294412241431E-12 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM131 = -1.08359388834357E-15 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM132 = 3.05951478131941E-19 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM133 = -4.54631785952857E-23 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM134 = 2.76570474729469E-27 / Coeff fwhm order14 HIERARCH TNG DRS CAL LOC FWHM135 = 2.88859262779841 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM136 = -0.000964308124384976 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM137 = 1.97508387760249E-07 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM138 = -1.79909801191153E-10 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM139 = 4.48614934676816E-13 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM140 = -3.4718331877252E-16 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM141 = 1.23079741287394E-19 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM142 = -2.10042723007213E-23 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM143 = 1.40335150300981E-27 / Coeff fwhm order15 HIERARCH TNG DRS CAL LOC FWHM144 = 2.95158023282364 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM145 = -0.000798394994200875 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM146 = -1.15790857710449E-06 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM147 = 2.15175306513169E-09 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM148 = -1.4201171217759E-12 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM149 = 4.6560959902218E-16 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM150 = -7.40555299218079E-20 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM151 = 4.02651051417522E-24 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM152 = 1.09615543117393E-28 / Coeff fwhm order16 HIERARCH TNG DRS CAL LOC FWHM153 = 2.99120426913182 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM154 = -0.00142326612208097 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM155 = 7.5958178491881E-07 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM156 = -1.82756653114034E-10 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM157 = -4.62850892722739E-14 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM158 = 6.3910470156732E-17 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM159 = -2.57080044201532E-20 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM160 = 4.79266149851308E-24 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM161 = -3.44490354493953E-28 / Coeff fwhm order17 HIERARCH TNG DRS CAL LOC FWHM162 = 3.01786115665768 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM163 = -0.00181937780326098 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM164 = 2.63438984324722E-06 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM165 = -3.92092106060608E-09 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM166 = 3.66755753023739E-12 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM167 = -1.93646234087242E-15 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM168 = 5.68821454025567E-19 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM169 = -8.68892338931553E-23 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM170 = 5.3831643047559E-27 / Coeff fwhm order18 HIERARCH TNG DRS CAL LOC FWHM171 = 2.99522166660763 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM172 = -0.00139268047201641 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM173 = 1.0082349144569E-06 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM174 = -1.12214748408119E-09 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM175 = 1.12239104872328E-12 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM176 = -6.44299588709006E-16 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM177 = 2.0191880794501E-19 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM178 = -3.25177558689526E-23 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM179 = 2.11254818247254E-27 / Coeff fwhm order19 HIERARCH TNG DRS CAL LOC FWHM180 = 2.98325545196335 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM181 = -0.0014775675961644 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM182 = 1.32164500857981E-06 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM183 = -1.55664918428212E-09 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM184 = 1.43112286526671E-12 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM185 = -7.63563473144596E-16 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM186 = 2.25853178073654E-19 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM187 = -3.45612191680383E-23 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM188 = 2.13770901792369E-27 / Coeff fwhm order20 HIERARCH TNG DRS CAL LOC FWHM189 = 2.99835108221485 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM190 = -0.00154144792250888 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM191 = 1.52847564197463E-06 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM192 = -1.83926217348479E-09 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM193 = 1.59796980597914E-12 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM194 = -8.02454992617962E-16 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM195 = 2.2522384962979E-19 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM196 = -3.29680966525518E-23 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM197 = 1.96413305348576E-27 / Coeff fwhm order21 HIERARCH TNG DRS CAL LOC FWHM198 = 3.01421354395565 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM199 = -0.00147957577727228 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM200 = 1.1155887691138E-06 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM201 = -1.10913667516005E-09 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM202 = 9.86788200310332E-13 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM203 = -5.25939497082046E-16 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM204 = 1.55787094285379E-19 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM205 = -2.38371624931709E-23 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM206 = 1.47176423121215E-27 / Coeff fwhm order22 HIERARCH TNG DRS CAL LOC FWHM207 = 2.99028663327153 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM208 = -0.00135279482351849 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM209 = 7.8051253092182E-07 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM210 = -5.54289886275791E-10 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM211 = 4.49904049619132E-13 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM212 = -2.31429608079909E-16 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM213 = 6.5474603097403E-20 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM214 = -9.39653554457667E-24 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM215 = 5.34611027710927E-28 / Coeff fwhm order23 HIERARCH TNG DRS CAL LOC FWHM216 = 3.01405611919199 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM217 = -0.0012289511376605 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM218 = 1.19757913927386E-07 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM219 = 5.77615322157312E-10 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM220 = -5.45500210873776E-13 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM221 = 2.66201584302649E-16 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM222 = -7.67030059168909E-20 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM223 = 1.21658002021677E-23 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM224 = -8.09022529934811E-28 / Coeff fwhm order24 HIERARCH TNG DRS CAL LOC FWHM225 = 3.01765969574179 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM226 = -0.0011273435380924 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM227 = -1.13780786931409E-07 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM228 = 9.68539426679824E-10 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM229 = -9.90170151734994E-13 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM230 = 5.45535079908877E-16 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM231 = -1.69971213365709E-19 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM232 = 2.77861950811589E-23 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM233 = -1.84300582455037E-27 / Coeff fwhm order25 HIERARCH TNG DRS CAL LOC FWHM234 = 3.03994144647986 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM235 = -0.00119333881827414 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM236 = 1.96320506232125E-07 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM237 = 3.20294507509382E-10 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM238 = -3.36994357774888E-13 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM239 = 1.89896620074166E-16 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM240 = -6.25859476020291E-20 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM241 = 1.08682642085678E-23 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM242 = -7.58409658716906E-28 / Coeff fwhm order26 HIERARCH TNG DRS CAL LOC FWHM243 = 3.07717499805553 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM244 = -0.00140185609843999 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM245 = 7.90238678309329E-07 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM246 = -3.99516826222378E-10 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM247 = 9.94010951894847E-14 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM248 = 4.94885555572525E-17 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM249 = -3.97771885405727E-20 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM250 = 9.4567985088696E-24 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM251 = -7.71532087389257E-28 / Coeff fwhm order27 HIERARCH TNG DRS CAL LOC FWHM252 = 3.10605097147155 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM253 = -0.00148124650501431 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM254 = 1.20168296221895E-06 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM255 = -1.36373335474455E-09 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM256 = 1.14474646612312E-12 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM257 = -5.43909787715215E-16 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM258 = 1.43102572646931E-19 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM259 = -1.95206528046115E-23 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM260 = 1.07700142075212E-27 / Coeff fwhm order28 HIERARCH TNG DRS CAL LOC FWHM261 = 3.10021683363185 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM262 = -0.00138416607961451 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM263 = 1.06159948368113E-06 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM264 = -1.21063666383128E-09 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM265 = 9.81660897126361E-13 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM266 = -4.32090440140569E-16 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM267 = 1.01724710399665E-19 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM268 = -1.19174113348234E-23 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM269 = 5.31266913472284E-28 / Coeff fwhm order29 HIERARCH TNG DRS CAL LOC FWHM270 = 3.10834663315392 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM271 = -0.00127576001458059 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM272 = 8.22563869910477E-07 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM273 = -1.05575869058991E-09 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM274 = 1.01731544468655E-12 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM275 = -5.23793980644097E-16 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM276 = 1.46184311006069E-19 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM277 = -2.10181832238129E-23 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM278 = 1.22198669424375E-27 / Coeff fwhm order30 HIERARCH TNG DRS CAL LOC FWHM279 = 3.14447898620948 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM280 = -0.00137389940778456 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM281 = 9.64692592275331E-07 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM282 = -1.06603569156486E-09 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM283 = 8.64985176529731E-13 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM284 = -3.83065132148658E-16 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM285 = 9.17447858520199E-20 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM286 = -1.11253738090352E-23 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM287 = 5.28748350020371E-28 / Coeff fwhm order31 HIERARCH TNG DRS CAL LOC FWHM288 = 3.17388308745536 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM289 = -0.00166519565716944 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM290 = 2.0931596436982E-06 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM291 = -2.98194675921318E-09 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM292 = 2.57434434930428E-12 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM293 = -1.24029798758541E-15 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM294 = 3.34097841029431E-19 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM295 = -4.71169490509796E-23 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM296 = 2.70944143365751E-27 / Coeff fwhm order32 HIERARCH TNG DRS CAL LOC FWHM297 = 3.19550765600535 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM298 = -0.00129156942458039 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM299 = 4.0682816470932E-07 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM300 = -1.928402045005E-10 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM301 = 2.42183483446052E-13 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM302 = -1.55599662050802E-16 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM303 = 4.98119035578477E-20 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM304 = -7.84007604958583E-24 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM305 = 4.85006599955102E-28 / Coeff fwhm order33 HIERARCH TNG DRS CAL LOC FWHM306 = 3.18902398392429 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM307 = -0.000746898216087037 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM308 = -1.46570814222926E-06 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM309 = 2.59561954484799E-09 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM310 = -1.98479422949021E-12 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM311 = 8.64493783880267E-16 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM312 = -2.18383373579073E-19 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM313 = 2.97779667155213E-23 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM314 = -1.69592570533263E-27 / Coeff fwhm order34 HIERARCH TNG DRS CAL LOC FWHM315 = 3.23953075491426 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM316 = -0.00105916036768638 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM317 = -4.603244794752E-07 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM318 = 1.07197240984098E-09 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM319 = -7.25219245559942E-13 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM320 = 2.5946997547687E-16 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM321 = -4.99736292568586E-20 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM322 = 4.63519821326831E-24 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM323 = -1.41610748854948E-28 / Coeff fwhm order35 HIERARCH TNG DRS CAL LOC FWHM324 = 3.24892584076665 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM325 = -0.00106529563730751 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM326 = -3.60029289804845E-07 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM327 = 9.70868424052981E-10 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM328 = -7.53051254163549E-13 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM329 = 3.36087224332258E-16 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM330 = -8.80688943334332E-20 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM331 = 1.2480659463796E-23 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM332 = -7.35662580321582E-28 / Coeff fwhm order36 HIERARCH TNG DRS CAL LOC FWHM333 = 3.27538099637911 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM334 = -0.00116050917052377 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM335 = -1.9415833882489E-07 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM336 = 8.93369569532353E-10 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM337 = -8.07548648796135E-13 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM338 = 4.1161865785574E-16 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM339 = -1.2153993538778E-19 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM340 = 1.92022673544885E-23 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM341 = -1.25064224228577E-27 / Coeff fwhm order37 HIERARCH TNG DRS CAL LOC FWHM342 = 3.30029505650342 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM343 = -0.00125553786970908 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM344 = 2.49094816862512E-07 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM345 = -2.00038590764146E-12 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM346 = 7.90281954617305E-14 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM347 = -6.54316513275998E-17 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM348 = 2.12620103532911E-20 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM349 = -3.15920276437849E-24 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM350 = 1.7726773195694E-28 / Coeff fwhm order38 HIERARCH TNG DRS CAL LOC FWHM351 = 3.31211920838413 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM352 = -0.00113422588217577 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM353 = -3.29817860683752E-07 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM354 = 1.09471604178356E-09 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM355 = -9.655424487467E-13 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM356 = 4.77222453612823E-16 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM357 = -1.34815416831913E-19 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM358 = 2.01903871960254E-23 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM359 = -1.24090144404755E-27 / Coeff fwhm order39 HIERARCH TNG DRS CAL LOC FWHM360 = 3.36552217945274 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM361 = -0.00149588721423863 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM362 = 7.78924571221074E-07 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM363 = -6.02983059728058E-10 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM364 = 4.71121923635374E-13 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM365 = -2.19417450877424E-16 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM366 = 5.71411181272667E-20 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM367 = -7.70271259438052E-24 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM368 = 4.16717410416635E-28 / Coeff fwhm order40 HIERARCH TNG DRS CAL LOC FWHM369 = 3.36357423387595 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM370 = -0.00144156516468443 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM371 = 4.89446548544638E-07 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM372 = 3.3029738512328E-11 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM373 = -1.98265661525583E-13 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM374 = 1.54790069805011E-16 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM375 = -5.72722169805752E-20 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM376 = 1.03956778418307E-23 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM377 = -7.42842823437286E-28 / Coeff fwhm order41 HIERARCH TNG DRS CAL LOC FWHM378 = 3.37639493463199 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM379 = -0.00140531748325877 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM380 = 5.77627621213963E-07 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM381 = -5.79203685146561E-10 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM382 = 6.78732207344675E-13 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM383 = -4.12780879106645E-16 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM384 = 1.31994847718488E-19 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM385 = -2.13165405920249E-23 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM386 = 1.37273400828509E-27 / Coeff fwhm order42 HIERARCH TNG DRS CAL LOC FWHM387 = 3.37829323895542 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM388 = -0.00126471800449481 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM389 = -1.04602177916935E-07 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM390 = 7.97884464357808E-10 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM391 = -6.99320907081201E-13 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM392 = 3.32496146081164E-16 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM393 = -9.04142672525707E-20 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM394 = 1.31840121557578E-23 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM395 = -8.00500032603527E-28 / Coeff fwhm order43 HIERARCH TNG DRS CAL LOC FWHM396 = 3.41680779841021 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM397 = -0.00146548982534088 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM398 = 7.28350254680231E-07 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM399 = -6.87202929261856E-10 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM400 = 6.34555156561672E-13 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM401 = -3.26771618284921E-16 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM402 = 9.19312004980225E-20 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM403 = -1.33087476458101E-23 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM404 = 7.75527551232959E-28 / Coeff fwhm order44 HIERARCH TNG DRS CAL LOC FWHM405 = 3.43044185201801 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM406 = -0.00128381775656049 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM407 = 3.57673758135695E-08 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM408 = 5.36206463036006E-10 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM409 = -5.03236162224649E-13 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM410 = 2.55452859600361E-16 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM411 = -7.26375475973186E-20 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM412 = 1.0754700737185E-23 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM413 = -6.43972992454876E-28 / Coeff fwhm order45 HIERARCH TNG DRS CAL LOC FWHM414 = 3.52861281597454 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM415 = -0.00144100676721847 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM416 = 3.36701137925497E-07 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM417 = 1.64960197763231E-10 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM418 = -2.30902254520394E-13 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM419 = 1.39066799886801E-16 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM420 = -4.47753032489974E-20 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM421 = 7.36655177598564E-24 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM422 = -4.86283595873819E-28 / Coeff fwhm order46 HIERARCH TNG DRS CAL LOC FWHM423 = 3.60055849546226 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM424 = -0.00146931910177244 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM425 = 4.10588671679384E-07 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM426 = 2.29078037196829E-11 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM427 = -1.07668620744188E-13 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM428 = 8.32959514945596E-17 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM429 = -3.1272051775798E-20 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM430 = 5.76072696386064E-24 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM431 = -4.16870841042388E-28 / Coeff fwhm order47 HIERARCH TNG DRS CAL LOC FWHM432 = 3.55107105070846 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM433 = -0.00116874581991484 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM434 = -4.28471056860186E-07 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM435 = 1.29725504949645E-09 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM436 = -1.18307278490343E-12 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM437 = 6.03858329765552E-16 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM438 = -1.74758152850371E-19 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM439 = 2.66663632854206E-23 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM440 = -1.66516535691327E-27 / Coeff fwhm order48 HIERARCH TNG DRS CAL LOC FWHM441 = 3.49568290304684 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM442 = -0.00133700187272165 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM443 = 2.40155960371623E-07 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM444 = 1.9692036899222E-10 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM445 = -2.09769765604158E-13 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM446 = 1.15692992560095E-16 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM447 = -3.62711890018921E-20 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM448 = 5.99470054901001E-24 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM449 = -4.04572879448951E-28 / Coeff fwhm order49 HIERARCH TNG DRS CAL LOC FWHM450 = 3.44464341448073 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM451 = -0.00132467718510706 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM452 = 2.978749616568E-07 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM453 = -6.49300818887219E-11 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM454 = 1.5198855238516E-13 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM455 = -1.16521631442563E-16 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM456 = 4.05566273780113E-20 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM457 = -6.74427194449841E-24 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM458 = 4.35051419536619E-28 / Coeff fwhm order50 HIERARCH TNG DRS CAL LOC FWHM459 = 3.41397811229833 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM460 = -0.00120079360975567 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM461 = -3.17694813720349E-07 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM462 = 1.20739518567715E-09 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM463 = -1.12694881549845E-12 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM464 = 5.71379249278263E-16 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM465 = -1.62169380663111E-19 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM466 = 2.41252549407767E-23 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM467 = -1.46366806724185E-27 / Coeff fwhm order51 HIERARCH TNG DRS CAL LOC FWHM468 = 3.44268673869662 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM469 = -0.00136072848828961 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM470 = 2.19852376304648E-07 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM471 = 2.93796002882963E-10 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM472 = -3.0124058542309E-13 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM473 = 1.50276657212852E-16 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM474 = -4.04643245248958E-20 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM475 = 5.57050388178969E-24 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM476 = -3.07442123116208E-28 / Coeff fwhm order52 HIERARCH TNG DRS CAL LOC FWHM477 = 3.50801571047083 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM478 = -0.00169275753541452 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM479 = 1.40238561518135E-06 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM480 = -1.62684477685293E-09 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM481 = 1.33707905569636E-12 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM482 = -6.35681966678281E-16 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM483 = 1.72720048258418E-19 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM484 = -2.49206848183307E-23 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM485 = 1.47852640214353E-27 / Coeff fwhm order53 HIERARCH TNG DRS CAL LOC FWHM486 = 3.44574865849263 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM487 = -0.00144754107222764 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM488 = 7.33412102832408E-07 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM489 = -6.96952812856443E-10 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM490 = 6.54122298696832E-13 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM491 = -3.52375741153926E-16 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM492 = 1.05738276508732E-19 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM493 = -1.64881866637886E-23 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM494 = 1.03964446727406E-27 / Coeff fwhm order54 HIERARCH TNG DRS CAL LOC FWHM495 = 3.31754926732082 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM496 = -0.00133885859587124 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM497 = 4.61309865307516E-07 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM498 = -2.58923843143265E-10 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM499 = 2.75969569066091E-13 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM500 = -1.66641306448673E-16 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM501 = 5.36576093626809E-20 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM502 = -8.73830356610162E-24 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM503 = 5.65920963760207E-28 / Coeff fwhm order55 HIERARCH TNG DRS CAL LOC FWHM504 = 3.2490477118138 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM505 = -0.00154373774296312 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM506 = 1.10647532773564E-06 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM507 = -1.08233442111143E-09 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM508 = 8.08601953645184E-13 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM509 = -3.51283896009579E-16 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM510 = 8.70383317645674E-20 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM511 = -1.14369075683057E-23 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM512 = 6.17990461413928E-28 / Coeff fwhm order56 HIERARCH TNG DRS CAL LOC FWHM513 = 3.20426136921464 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM514 = -0.00139740374040438 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM515 = 5.68630059329957E-07 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM516 = -1.96769686813907E-10 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM517 = 2.1640850126257E-14 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM518 = 4.89201877138359E-17 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM519 = -2.87363310317024E-20 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM520 = 6.22771224467628E-24 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM521 = -4.83862475570357E-28 / Coeff fwhm order57 HIERARCH TNG DRS CAL LOC FWHM522 = 3.18658679414796 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM523 = -0.00134684317223307 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM524 = 4.15204475197022E-07 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM525 = -7.71564825564538E-11 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM526 = 6.07785423190109E-14 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM527 = -4.11849035046667E-17 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM528 = 1.46350598996358E-20 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM529 = -2.54805447098077E-24 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM530 = 1.72005335218934E-28 / Coeff fwhm order58 HIERARCH TNG DRS CAL LOC FWHM531 = 3.16268040102149 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM532 = -0.00150118177850565 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM533 = 9.03793185491961E-07 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM534 = -7.48708024290337E-10 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM535 = 5.61959568853232E-13 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM536 = -2.56855111267389E-16 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM537 = 6.81709803331664E-20 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM538 = -9.67396726371052E-24 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM539 = 5.66148749439394E-28 / Coeff fwhm order59 HIERARCH TNG DRS CAL LOC FWHM540 = 3.1382002007051 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM541 = -0.00166465158308845 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM542 = 1.38135609342108E-06 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM543 = -1.41237232853503E-09 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM544 = 1.05754292838475E-12 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM545 = -4.64991469011277E-16 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM546 = 1.17608161668994E-19 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM547 = -1.58934626177061E-23 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM548 = 8.89160628645409E-28 / Coeff fwhm order60 HIERARCH TNG DRS CAL LOC FWHM549 = 3.10681282903495 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM550 = -0.001502436391332 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM551 = 1.111915558086E-06 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM552 = -1.22129515190526E-09 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM553 = 9.82065299643783E-13 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM554 = -4.42424798142962E-16 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM555 = 1.11690589403214E-19 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM556 = -1.48585847685482E-23 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM557 = 8.12194540080378E-28 / Coeff fwhm order61 HIERARCH TNG DRS CAL LOC FWHM558 = 3.08275822093885 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM559 = -0.00172039507081285 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM560 = 1.7000071067568E-06 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM561 = -1.89448319645209E-09 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM562 = 1.42168536748521E-12 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM563 = -6.1702894542555E-16 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM564 = 1.53740175583747E-19 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM565 = -2.05234414390439E-23 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM566 = 1.13969465472011E-27 / Coeff fwhm order62 HIERARCH TNG DRS CAL LOC FWHM567 = 2.88687418121375 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM568 = -0.00132243009675319 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM569 = 4.27257626954321E-07 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM570 = 5.72676778686866E-11 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM571 = -1.47017439399725E-13 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM572 = 1.04607204257821E-16 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM573 = -3.79281711177599E-20 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM574 = 6.79879060920906E-24 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM575 = -4.7615782104523E-28 / Coeff fwhm order63 HIERARCH TNG DRS CAL LOC FWHM576 = 2.97786919144733 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM577 = -0.00222831138281897 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM578 = 3.4762068730461E-06 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM579 = -4.84125306420388E-09 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM580 = 3.96812815454039E-12 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM581 = -1.83097075741081E-15 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM582 = 4.76675335362533E-19 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM583 = -6.55330451205511E-23 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM584 = 3.70422282847111E-27 / Coeff fwhm order64 HIERARCH TNG DRS CAL LOC FWHM585 = 3.16466016917999 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM586 = -0.00114648566025301 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM587 = -7.021763560941E-07 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM588 = 1.93178127167902E-09 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM589 = -1.70373795049942E-12 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM590 = 8.28919681896322E-16 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM591 = -2.29337544360344E-19 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM592 = 3.36342919557764E-23 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM593 = -2.02802258455753E-27 / Coeff fwhm order65 HIERARCH TNG DRS CAL LOC FWHM594 = 2.72249483655108 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM595 = -0.000806892911763327 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM596 = -1.33694290664585E-06 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM597 = 2.98031241206104E-09 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM598 = -2.51488458881831E-12 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM599 = 1.14963091584467E-15 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM600 = -2.95628015316484E-19 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM601 = 4.02715419064327E-23 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM602 = -2.26566148713126E-27 / Coeff fwhm order66 HIERARCH TNG DRS CAL LOC FWHM603 = 2.50491146386698 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM604 = -0.00123252512570191 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM605 = 9.95896258336283E-09 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM606 = 1.02559522802052E-09 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM607 = -1.01897029890308E-12 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM608 = 5.11721886143772E-16 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM609 = -1.43274993032868E-19 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM610 = 2.1135060310315E-23 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM611 = -1.27580167673495E-27 / Coeff fwhm order67 HIERARCH TNG DRS CAL LOC FWHM612 = 2.65286162104895 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM613 = -0.00148101777615527 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM614 = 6.43267152060709E-07 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM615 = -1.32721780358532E-12 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM616 = -9.89319524607231E-14 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM617 = 5.35741068543214E-17 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM618 = -1.62911878948271E-20 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM619 = 2.7757357531978E-24 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC FWHM620 = -1.97295646960119E-28 / Coeff fwhm order68 HIERARCH TNG DRS CAL LOC ERROR0 = 0.0259176570524413 / Coeff profile error orderHIERARCH TNG DRS CAL LOC ERROR1 = 1.29457209765523E-06 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR2 = -5.02155945101654E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR3 = 1.09563585413989E-12 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR4 = 0.0249977200920243 / Coeff profile error orderHIERARCH TNG DRS CAL LOC ERROR5 = 1.31809429524218E-06 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR6 = -4.85262581471689E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR7 = 1.05487274487071E-12 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR8 = 0.0259507273872326 / Coeff profile error orderHIERARCH TNG DRS CAL LOC ERROR9 = -2.67534515693881E-06 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR10 = -2.18445656682689E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR11 = 6.01437062259258E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR12 = 0.0250061178736771 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR13 = -3.08455817940975E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR14 = -1.82143789711285E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR15 = 4.93419768020823E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR16 = 0.0257644522095666 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR17 = -4.09933586843535E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR18 = -1.8199637382057E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR19 = 5.55310833588597E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR20 = 0.0263870828734319 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR21 = -7.04787210977121E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR22 = -3.75079024815322E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR23 = 3.80154317037067E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR24 = 0.0268354523602351 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR25 = -9.55347713753969E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR26 = 1.34366551075452E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR27 = 5.35084906992523E-14 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR28 = 0.0264004138350166 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR29 = -1.15628138728345E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR30 = 2.89599134382213E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR31 = -1.93872027723624E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR32 = 0.0249132874974126 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR33 = -8.25657605259339E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR34 = 8.93445011171563E-10 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR35 = 1.29770941255284E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR36 = 0.0256407898974489 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR37 = -1.11702009525498E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR38 = 2.57105516864622E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR39 = -1.47404244986816E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR40 = 0.0250370018904482 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR41 = -9.42622556635438E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR42 = 1.56131910124071E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR43 = 8.44883352380445E-15 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR44 = 0.0250848270512638 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR45 = -1.15872672202056E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR46 = 2.91339091924394E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR47 = -1.9299519229317E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR48 = 0.0238035382358019 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR49 = -9.61822566378563E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR50 = 1.98416400514517E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR51 = -6.25485360842482E-14 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR52 = 0.0251363499607206 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR53 = -1.34476899317218E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR54 = 4.39219464452086E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR55 = -4.73154036382313E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR56 = 0.0239354973309503 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR57 = -1.04304140956797E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR58 = 2.38940058876388E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR59 = -1.08629838709425E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR60 = 0.0237950832911783 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR61 = -1.24656338909756E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR62 = 3.99791276509543E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR63 = -3.99908522697379E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR64 = 0.0250943524693474 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR65 = -1.37553778003078E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR66 = 4.41068411489713E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR67 = -4.47408059745718E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR68 = 0.0236010135943286 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR69 = -8.47650179563216E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR70 = 1.22789347215175E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR71 = 4.61093083250417E-14 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR72 = 0.0228588129136272 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR73 = -9.62726541094693E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR74 = 2.00130482948226E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR75 = -6.13539884485267E-15 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR76 = 0.0224995622372904 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR77 = -1.11862701608354E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR78 = 3.07277291812514E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR79 = -2.28900580507327E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR80 = 0.0252481060436827 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR81 = -1.62349196098768E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR82 = 5.79563041637667E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR83 = -6.52290325138839E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR84 = 0.0216063349720659 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR85 = -1.05025502440967E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR86 = 3.29808762167705E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR87 = -3.38018403933507E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR88 = 0.0228169817145104 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR89 = -1.11320208114825E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR90 = 3.14513539500669E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR91 = -2.66409314360608E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR92 = 0.0222279315471513 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR93 = -1.21226108745051E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR94 = 3.86618079478996E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR95 = -3.76079518267014E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR96 = 0.0224879915930071 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR97 = -1.24494601787458E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR98 = 3.73633051231274E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR99 = -3.24487976628502E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR100 = 0.0234638235724081 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR101 = -1.44371200256463E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR102 = 5.0972212937073E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR103 = -5.85340494327059E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR104 = 0.0221978331128415 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR105 = -1.29154848814048E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR106 = 4.87849087036497E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR107 = -5.99880106795723E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR108 = 0.0231702135725324 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR109 = -1.42582728957216E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR110 = 4.86623590262014E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR111 = -5.17776972984838E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR112 = 0.0232345249234564 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR113 = -1.41446355858337E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR114 = 5.00905466333695E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR115 = -5.88982570745092E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR116 = 0.0220000436586868 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR117 = -1.20105841833022E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR118 = 3.63317801693322E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR119 = -3.38312641696457E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR120 = 0.0225069295516098 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR121 = -1.24984952662148E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR122 = 3.83804953243872E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR123 = -3.78099179897106E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR124 = 0.0208129439101947 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR125 = -9.64066928266889E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR126 = 2.72849315765718E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR127 = -2.64253049290384E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR128 = 0.0216623089466863 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR129 = -1.23849804044727E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR130 = 4.18546424936451E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR131 = -4.66834928079774E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR132 = 0.0215148646458786 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR133 = -1.20308220576761E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR134 = 3.88474084212137E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR135 = -4.26694473759498E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR136 = 0.0222271758841237 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR137 = -1.30634403988608E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR138 = 4.41159834971109E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR139 = -5.10338349838829E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR140 = 0.021508471469445 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR141 = -1.13768221754118E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR142 = 3.21850517505885E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR143 = -2.94770321653566E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR144 = 0.0207748926233014 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR145 = -1.01085209574605E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR146 = 2.83814470674848E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR147 = -2.80283129244723E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR148 = 0.0208062810762736 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR149 = -1.04187089973479E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR150 = 2.82904545891867E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR151 = -2.58522401663541E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR152 = 0.0201288002205441 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR153 = -9.26901962871881E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR154 = 2.02917786449249E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR155 = -1.16712002185956E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR156 = 0.0195351895466258 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR157 = -7.03217679414505E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR158 = 5.25549519386568E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR159 = 1.35288276073524E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR160 = 0.0208898258424221 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR161 = -1.07550366004594E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR162 = 2.79508509486847E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR163 = -2.30671102303404E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR164 = 0.0203188564364991 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR165 = -9.04120452486035E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR166 = 1.49233394446708E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR167 = 1.24774720148166E-14 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR168 = 0.0198297528880946 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR169 = -7.90441639731764E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR170 = 1.00745933067557E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR171 = 5.861570004539E-14 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR172 = 0.0210572169815 / Coeff profile error order4HIERARCH TNG DRS CAL LOC ERROR173 = -1.08401204877407E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR174 = 2.42344685698347E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR175 = -1.27359744309615E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR176 = 0.0202346729475412 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR177 = -8.45646831358886E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR178 = 9.09749685344161E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR179 = 1.26337201498829E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR180 = 0.019223890374311 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR181 = -6.65775963378134E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR182 = -6.51401643811726E-11 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR183 = 2.7485597544752E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR184 = 0.0181215217792373 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR185 = -4.71798841496772E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR186 = -6.71648349771453E-10 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR187 = 3.12189965520267E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR188 = 0.0172979893375606 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR189 = -4.3867280678593E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR190 = -5.5816945722285E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR191 = 2.8163781741229E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR192 = 0.0186730837813851 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR193 = -8.79052928884901E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR194 = 1.72525727491741E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR195 = -2.91202550614825E-14 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR196 = 0.0174185064751845 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR197 = -6.33537973025492E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR198 = 3.7044094532658E-10 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR199 = 1.86269671295045E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR200 = 0.018069166652729 / Coeff profile error ordeHIERARCH TNG DRS CAL LOC ERROR201 = -7.1007653789505E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR202 = 6.52869622509035E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR203 = 1.5875641937615E-13 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR204 = 0.0183813633175781 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR205 = -7.65118974249502E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR206 = 3.04242422187027E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR207 = 3.12356793844768E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR208 = 0.0186874501049224 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR209 = -8.5406592686809E-06 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR210 = 1.00377981146198E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR211 = 1.60790514815535E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR212 = 0.0179732899070259 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR213 = -6.86634748471503E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR214 = 3.99644963215235E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR215 = 2.11788788733527E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR216 = 0.0171138739367183 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR217 = -8.17414051912116E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR218 = 1.70080844813076E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR219 = -1.66009475486014E-14 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR220 = 0.0174143647704237 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR221 = -9.09313334164714E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR222 = 1.99998543164758E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR223 = -3.41262976001712E-14 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR224 = 0.0189583862690823 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR225 = -1.25660935198123E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR226 = 3.39928510753723E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR227 = -1.81380591746709E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR228 = 0.0195066968881004 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR229 = -1.38425747591666E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR230 = 4.06215199437794E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR231 = -2.85045938677917E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR232 = 0.0183603707788802 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR233 = -1.18566099593584E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR234 = 3.11703342750428E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR235 = -1.5761671775779E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR236 = 0.0187596976868481 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR237 = -1.36203181804421E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR238 = 4.37690877864546E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR239 = -3.78183426571844E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR240 = 0.0191478048270654 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR241 = -1.4284689623572E-05 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR242 = 4.45116648641634E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR243 = -3.61033765095198E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR244 = 0.0190966307029916 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR245 = -1.31203023317468E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR246 = 3.9530166261792E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR247 = -3.05956293490465E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR248 = 0.0167866001737252 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR249 = -1.17808954750069E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR250 = 3.98760941436918E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR251 = -3.62793596209561E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR252 = 0.0171768907572104 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR253 = -1.38164881228607E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR254 = 4.69022174641241E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR255 = -4.25601212325337E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR256 = 0.0221977617275775 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR257 = -1.70397529011877E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR258 = 5.56814763407474E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR259 = -5.14852992812655E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR260 = 0.0144716957091417 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR261 = -1.17261914212448E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR262 = 3.53888270867279E-10 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR263 = -4.11866150427384E-14 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR264 = 0.0129849613259771 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR265 = -9.38016895646539E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR266 = 4.38305415708311E-09 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR267 = -5.27465067646152E-13 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR268 = 0.0138220898890745 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR269 = -3.25361976492884E-06 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR270 = -7.80468288848332E-11 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR271 = 1.80894082970154E-13 / Coeff profile error oHIERARCH TNG DRS CAL LOC ERROR272 = 0.0176036864392436 / Coeff profile error ordHIERARCH TNG DRS CAL LOC ERROR273 = -1.07538844362867E-05 / Coeff profile error HIERARCH TNG DRS CAL LOC ERROR274 = 2.9015289233535E-09 / Coeff profile error orHIERARCH TNG DRS CAL LOC ERROR275 = -9.82153192945676E-14 / Coeff profile error HIERARCH TNG DRS CAL LOC FLX MAX = 59131.05 / max flux in order [ADU] HIERARCH TNG DRS CAL LOC PTS CTR MAX = 0. / max rm pts ctr HIERARCH TNG DRS CAL LOC PTS WID MAX = 31. / max rm pts width HIERARCH TNG DRS CAL LOC RMS CTR = 10.6987925460031 / max rms ctr HIERARCH TNG DRS CAL LOC RMS WID = 19.6923355693943 / max rms width HIERARCH TNG DRS CAL FLAT FILE = 'HARPN.2019-08-26T15-50-22.649_flat_A.fits' / FHIERARCH TNG DRS CAL FLAT NBFILES = 5 / Nb of Flat files used HIERARCH TNG DRS CAL FLAT WIN = 120 / half size blaze window HIERARCH TNG DRS CAL FLAT RMS0 = 0.0148369787326601 / FF RMS order0 HIERARCH TNG DRS CAL FLAT RMS1 = 0.0158054990982442 / FF RMS order1 HIERARCH TNG DRS CAL FLAT RMS2 = 0.0166126298154584 / FF RMS order2 HIERARCH TNG DRS CAL FLAT RMS3 = 0.017519991023799 / FF RMS order3 HIERARCH TNG DRS CAL FLAT RMS4 = 0.0239732606634479 / FF RMS order4 HIERARCH TNG DRS CAL FLAT RMS5 = 0.0176368879879878 / FF RMS order5 HIERARCH TNG DRS CAL FLAT RMS6 = 0.0179529918249426 / FF RMS order6 HIERARCH TNG DRS CAL FLAT RMS7 = 0.0192993441244461 / FF RMS order7 HIERARCH TNG DRS CAL FLAT RMS8 = 0.0206570197195119 / FF RMS order8 HIERARCH TNG DRS CAL FLAT RMS9 = 0.0202557992920891 / FF RMS order9 HIERARCH TNG DRS CAL FLAT RMS10 = 0.0192525919458651 / FF RMS order10 HIERARCH TNG DRS CAL FLAT RMS11 = 0.0171486611352492 / FF RMS order11 HIERARCH TNG DRS CAL FLAT RMS12 = 0.0170824964988253 / FF RMS order12 HIERARCH TNG DRS CAL FLAT RMS13 = 0.0163320323065634 / FF RMS order13 HIERARCH TNG DRS CAL FLAT RMS14 = 0.0158198938717042 / FF RMS order14 HIERARCH TNG DRS CAL FLAT RMS15 = 0.0179806756609423 / FF RMS order15 HIERARCH TNG DRS CAL FLAT RMS16 = 0.0198080320805786 / FF RMS order16 HIERARCH TNG DRS CAL FLAT RMS17 = 0.0172387560304075 / FF RMS order17 HIERARCH TNG DRS CAL FLAT RMS18 = 0.0164819689458761 / FF RMS order18 HIERARCH TNG DRS CAL FLAT RMS19 = 0.0146704425377128 / FF RMS order19 HIERARCH TNG DRS CAL FLAT RMS20 = 0.0146530901072848 / FF RMS order20 HIERARCH TNG DRS CAL FLAT RMS21 = 0.0140144652737019 / FF RMS order21 HIERARCH TNG DRS CAL FLAT RMS22 = 0.0145339812568186 / FF RMS order22 HIERARCH TNG DRS CAL FLAT RMS23 = 0.0148687081922076 / FF RMS order23 HIERARCH TNG DRS CAL FLAT RMS24 = 0.0139562948449651 / FF RMS order24 HIERARCH TNG DRS CAL FLAT RMS25 = 0.015054795696622 / FF RMS order25 HIERARCH TNG DRS CAL FLAT RMS26 = 0.0162430809362259 / FF RMS order26 HIERARCH TNG DRS CAL FLAT RMS27 = 0.018094458326929 / FF RMS order27 HIERARCH TNG DRS CAL FLAT RMS28 = 0.01748204534064 / FF RMS order28 HIERARCH TNG DRS CAL FLAT RMS29 = 0.0150593268727051 / FF RMS order29 HIERARCH TNG DRS CAL FLAT RMS30 = 0.014939824903385 / FF RMS order30 HIERARCH TNG DRS CAL FLAT RMS31 = 0.0157673836203141 / FF RMS order31 HIERARCH TNG DRS CAL FLAT RMS32 = 0.0149341190939654 / FF RMS order32 HIERARCH TNG DRS CAL FLAT RMS33 = 0.0124823282362377 / FF RMS order33 HIERARCH TNG DRS CAL FLAT RMS34 = 0.01159587408935 / FF RMS order34 HIERARCH TNG DRS CAL FLAT RMS35 = 0.0101171142217845 / FF RMS order35 HIERARCH TNG DRS CAL FLAT RMS36 = 0.0095494310123406 / FF RMS order36 HIERARCH TNG DRS CAL FLAT RMS37 = 0.0093353796805137 / FF RMS order37 HIERARCH TNG DRS CAL FLAT RMS38 = 0.01039468328382 / FF RMS order38 HIERARCH TNG DRS CAL FLAT RMS39 = 0.00979467058262253 / FF RMS order39 HIERARCH TNG DRS CAL FLAT RMS40 = 0.00819783081141683 / FF RMS order40 HIERARCH TNG DRS CAL FLAT RMS41 = 0.00801013198711183 / FF RMS order41 HIERARCH TNG DRS CAL FLAT RMS42 = 0.00794075046894875 / FF RMS order42 HIERARCH TNG DRS CAL FLAT RMS43 = 0.00725109293760516 / FF RMS order43 HIERARCH TNG DRS CAL FLAT RMS44 = 0.00705768581346125 / FF RMS order44 HIERARCH TNG DRS CAL FLAT RMS45 = 0.0067350853007507 / FF RMS order45 HIERARCH TNG DRS CAL FLAT RMS46 = 0.00670290872294717 / FF RMS order46 HIERARCH TNG DRS CAL FLAT RMS47 = 0.00622059447835675 / FF RMS order47 HIERARCH TNG DRS CAL FLAT RMS48 = 0.00594473771432934 / FF RMS order48 HIERARCH TNG DRS CAL FLAT RMS49 = 0.00602846776079107 / FF RMS order49 HIERARCH TNG DRS CAL FLAT RMS50 = 0.0056133323447513 / FF RMS order50 HIERARCH TNG DRS CAL FLAT RMS51 = 0.00909730687849075 / FF RMS order51 HIERARCH TNG DRS CAL FLAT RMS52 = 0.00613832731919882 / FF RMS order52 HIERARCH TNG DRS CAL FLAT RMS53 = 0.00603797760902184 / FF RMS order53 HIERARCH TNG DRS CAL FLAT RMS54 = 0.00660806310417089 / FF RMS order54 HIERARCH TNG DRS CAL FLAT RMS55 = 0.00657379816192733 / FF RMS order55 HIERARCH TNG DRS CAL FLAT RMS56 = 0.00598874466011627 / FF RMS order56 HIERARCH TNG DRS CAL FLAT RMS57 = 0.00562039116239099 / FF RMS order57 HIERARCH TNG DRS CAL FLAT RMS58 = 0.00575872066154842 / FF RMS order58 HIERARCH TNG DRS CAL FLAT RMS59 = 0.00596898967211227 / FF RMS order59 HIERARCH TNG DRS CAL FLAT RMS60 = 0.00630811337389704 / FF RMS order60 HIERARCH TNG DRS CAL FLAT RMS61 = 0.00566638128342919 / FF RMS order61 HIERARCH TNG DRS CAL FLAT RMS62 = 0.00617819406884167 / FF RMS order62 HIERARCH TNG DRS CAL FLAT RMS63 = 0.00738462927235074 / FF RMS order63 HIERARCH TNG DRS CAL FLAT RMS64 = 0.00753060993447568 / FF RMS order64 HIERARCH TNG DRS CAL FLAT RMS65 = 0.00773882128984979 / FF RMS order65 HIERARCH TNG DRS CAL FLAT RMS66 = 0.00975925635461557 / FF RMS order66 HIERARCH TNG DRS CAL FLAT RMS67 = 0.0102660100025234 / FF RMS order67 HIERARCH TNG DRS CAL FLAT RMS68 = 0.00781594963252177 / FF RMS order68 HIERARCH TNG DRS BLAZE FILE = 'HARPN.2019-08-26T15-50-22.649_blaze_A.fits' / BlaHIERARCH TNG DRS SPE EXT OPT = 3 / Option extraction HIERARCH TNG DRS SPE EXT WINDOW = 15 / Size of extraction window HIERARCH TNG DRS SPE EXT COSM = 3.5 / threshold cosmic detection HIERARCH TNG DRS SPE EXT SN0 = 59.8 / S_N order center0 HIERARCH TNG DRS SPE EXT SN1 = 82.2 / S_N order center1 HIERARCH TNG DRS SPE EXT SN2 = 81.9 / S_N order center2 HIERARCH TNG DRS SPE EXT SN3 = 57. / S_N order center3 HIERARCH TNG DRS SPE EXT SN4 = 95. / S_N order center4 HIERARCH TNG DRS SPE EXT SN5 = 102.4 / S_N order center5 HIERARCH TNG DRS SPE EXT SN6 = 105.6 / S_N order center6 HIERARCH TNG DRS SPE EXT SN7 = 100.5 / S_N order center7 HIERARCH TNG DRS SPE EXT SN8 = 75.8 / S_N order center8 HIERARCH TNG DRS SPE EXT SN9 = 110.1 / S_N order center9 HIERARCH TNG DRS SPE EXT SN10 = 117.4 / S_N order center10 HIERARCH TNG DRS SPE EXT SN11 = 122.1 / S_N order center11 HIERARCH TNG DRS SPE EXT SN12 = 124. / S_N order center12 HIERARCH TNG DRS SPE EXT SN13 = 123. / S_N order center13 HIERARCH TNG DRS SPE EXT SN14 = 126.4 / S_N order center14 HIERARCH TNG DRS SPE EXT SN15 = 121.4 / S_N order center15 HIERARCH TNG DRS SPE EXT SN16 = 67.7 / S_N order center16 HIERARCH TNG DRS SPE EXT SN17 = 127. / S_N order center17 HIERARCH TNG DRS SPE EXT SN18 = 131.8 / S_N order center18 HIERARCH TNG DRS SPE EXT SN19 = 137. / S_N order center19 HIERARCH TNG DRS SPE EXT SN20 = 139. / S_N order center20 HIERARCH TNG DRS SPE EXT SN21 = 143.6 / S_N order center21 HIERARCH TNG DRS SPE EXT SN22 = 144.3 / S_N order center22 HIERARCH TNG DRS SPE EXT SN23 = 148.1 / S_N order center23 HIERARCH TNG DRS SPE EXT SN24 = 149. / S_N order center24 HIERARCH TNG DRS SPE EXT SN25 = 148.4 / S_N order center25 HIERARCH TNG DRS SPE EXT SN26 = 152.1 / S_N order center26 HIERARCH TNG DRS SPE EXT SN27 = 153.5 / S_N order center27 HIERARCH TNG DRS SPE EXT SN28 = 155.8 / S_N order center28 HIERARCH TNG DRS SPE EXT SN29 = 156.8 / S_N order center29 HIERARCH TNG DRS SPE EXT SN30 = 155.3 / S_N order center30 HIERARCH TNG DRS SPE EXT SN31 = 114.2 / S_N order center31 HIERARCH TNG DRS SPE EXT SN32 = 154.7 / S_N order center32 HIERARCH TNG DRS SPE EXT SN33 = 159.5 / S_N order center33 HIERARCH TNG DRS SPE EXT SN34 = 164.2 / S_N order center34 HIERARCH TNG DRS SPE EXT SN35 = 162.9 / S_N order center35 HIERARCH TNG DRS SPE EXT SN36 = 164. / S_N order center36 HIERARCH TNG DRS SPE EXT SN37 = 165.5 / S_N order center37 HIERARCH TNG DRS SPE EXT SN38 = 166.6 / S_N order center38 HIERARCH TNG DRS SPE EXT SN39 = 164.7 / S_N order center39 HIERARCH TNG DRS SPE EXT SN40 = 169.9 / S_N order center40 HIERARCH TNG DRS SPE EXT SN41 = 167. / S_N order center41 HIERARCH TNG DRS SPE EXT SN42 = 170.5 / S_N order center42 HIERARCH TNG DRS SPE EXT SN43 = 168.7 / S_N order center43 HIERARCH TNG DRS SPE EXT SN44 = 167.3 / S_N order center44 HIERARCH TNG DRS SPE EXT SN45 = 165.6 / S_N order center45 HIERARCH TNG DRS SPE EXT SN46 = 166.7 / S_N order center46 HIERARCH TNG DRS SPE EXT SN47 = 164.5 / S_N order center47 HIERARCH TNG DRS SPE EXT SN48 = 160.7 / S_N order center48 HIERARCH TNG DRS SPE EXT SN49 = 161.6 / S_N order center49 HIERARCH TNG DRS SPE EXT SN50 = 158.9 / S_N order center50 HIERARCH TNG DRS SPE EXT SN51 = 159.1 / S_N order center51 HIERARCH TNG DRS SPE EXT SN52 = 155.2 / S_N order center52 HIERARCH TNG DRS SPE EXT SN53 = 151.1 / S_N order center53 HIERARCH TNG DRS SPE EXT SN54 = 152.3 / S_N order center54 HIERARCH TNG DRS SPE EXT SN55 = 146.3 / S_N order center55 HIERARCH TNG DRS SPE EXT SN56 = 145.9 / S_N order center56 HIERARCH TNG DRS SPE EXT SN57 = 146.5 / S_N order center57 HIERARCH TNG DRS SPE EXT SN58 = 137.8 / S_N order center58 HIERARCH TNG DRS SPE EXT SN59 = 136.4 / S_N order center59 HIERARCH TNG DRS SPE EXT SN60 = 135.1 / S_N order center60 HIERARCH TNG DRS SPE EXT SN61 = 127.4 / S_N order center61 HIERARCH TNG DRS SPE EXT SN62 = 125.5 / S_N order center62 HIERARCH TNG DRS SPE EXT SN63 = 122.3 / S_N order center63 HIERARCH TNG DRS SPE EXT SN64 = 107.7 / S_N order center64 HIERARCH TNG DRS SPE EXT SN65 = 110.8 / S_N order center65 HIERARCH TNG DRS SPE EXT SN66 = 109.5 / S_N order center66 HIERARCH TNG DRS SPE EXT SN67 = 104.9 / S_N order center67 HIERARCH TNG DRS SPE EXT SN68 = 88.5 / S_N order center68 HIERARCH TNG DRS SPE NBCOS0 = 5 / NbCos detected order0 HIERARCH TNG DRS SPE NBCOS1 = 7 / NbCos detected order1 HIERARCH TNG DRS SPE NBCOS2 = 10 / NbCos detected order2 HIERARCH TNG DRS SPE NBCOS3 = 9 / NbCos detected order3 HIERARCH TNG DRS SPE NBCOS4 = 6 / NbCos detected order4 HIERARCH TNG DRS SPE NBCOS5 = 1 / NbCos detected order5 HIERARCH TNG DRS SPE NBCOS6 = 1 / NbCos detected order6 HIERARCH TNG DRS SPE NBCOS7 = 2 / NbCos detected order7 HIERARCH TNG DRS SPE NBCOS8 = 7 / NbCos detected order8 HIERARCH TNG DRS SPE NBCOS9 = 2 / NbCos detected order9 HIERARCH TNG DRS SPE NBCOS10 = 5 / NbCos detected order10 HIERARCH TNG DRS SPE NBCOS11 = 9 / NbCos detected order11 HIERARCH TNG DRS SPE NBCOS12 = 5 / NbCos detected order12 HIERARCH TNG DRS SPE NBCOS13 = 2 / NbCos detected order13 HIERARCH TNG DRS SPE NBCOS14 = 1 / NbCos detected order14 HIERARCH TNG DRS SPE NBCOS15 = 0 / NbCos detected order15 HIERARCH TNG DRS SPE NBCOS16 = 7 / NbCos detected order16 HIERARCH TNG DRS SPE NBCOS17 = 1 / NbCos detected order17 HIERARCH TNG DRS SPE NBCOS18 = 0 / NbCos detected order18 HIERARCH TNG DRS SPE NBCOS19 = 10 / NbCos detected order19 HIERARCH TNG DRS SPE NBCOS20 = 12 / NbCos detected order20 HIERARCH TNG DRS SPE NBCOS21 = 2 / NbCos detected order21 HIERARCH TNG DRS SPE NBCOS22 = 3 / NbCos detected order22 HIERARCH TNG DRS SPE NBCOS23 = 3 / NbCos detected order23 HIERARCH TNG DRS SPE NBCOS24 = 7 / NbCos detected order24 HIERARCH TNG DRS SPE NBCOS25 = 4 / NbCos detected order25 HIERARCH TNG DRS SPE NBCOS26 = 2 / NbCos detected order26 HIERARCH TNG DRS SPE NBCOS27 = 2 / NbCos detected order27 HIERARCH TNG DRS SPE NBCOS28 = 5 / NbCos detected order28 HIERARCH TNG DRS SPE NBCOS29 = 0 / NbCos detected order29 HIERARCH TNG DRS SPE NBCOS30 = 11 / NbCos detected order30 HIERARCH TNG DRS SPE NBCOS31 = 3 / NbCos detected order31 HIERARCH TNG DRS SPE NBCOS32 = 1 / NbCos detected order32 HIERARCH TNG DRS SPE NBCOS33 = 7 / NbCos detected order33 HIERARCH TNG DRS SPE NBCOS34 = 9 / NbCos detected order34 HIERARCH TNG DRS SPE NBCOS35 = 7 / NbCos detected order35 HIERARCH TNG DRS SPE NBCOS36 = 2 / NbCos detected order36 HIERARCH TNG DRS SPE NBCOS37 = 4 / NbCos detected order37 HIERARCH TNG DRS SPE NBCOS38 = 0 / NbCos detected order38 HIERARCH TNG DRS SPE NBCOS39 = 0 / NbCos detected order39 HIERARCH TNG DRS SPE NBCOS40 = 3 / NbCos detected order40 HIERARCH TNG DRS SPE NBCOS41 = 2 / NbCos detected order41 HIERARCH TNG DRS SPE NBCOS42 = 2 / NbCos detected order42 HIERARCH TNG DRS SPE NBCOS43 = 0 / NbCos detected order43 HIERARCH TNG DRS SPE NBCOS44 = 4 / NbCos detected order44 HIERARCH TNG DRS SPE NBCOS45 = 1 / NbCos detected order45 HIERARCH TNG DRS SPE NBCOS46 = 5 / NbCos detected order46 HIERARCH TNG DRS SPE NBCOS47 = 2 / NbCos detected order47 HIERARCH TNG DRS SPE NBCOS48 = 0 / NbCos detected order48 HIERARCH TNG DRS SPE NBCOS49 = 0 / NbCos detected order49 HIERARCH TNG DRS SPE NBCOS50 = 2 / NbCos detected order50 HIERARCH TNG DRS SPE NBCOS51 = 6 / NbCos detected order51 HIERARCH TNG DRS SPE NBCOS52 = 1 / NbCos detected order52 HIERARCH TNG DRS SPE NBCOS53 = 0 / NbCos detected order53 HIERARCH TNG DRS SPE NBCOS54 = 2 / NbCos detected order54 HIERARCH TNG DRS SPE NBCOS55 = 2 / NbCos detected order55 HIERARCH TNG DRS SPE NBCOS56 = 1 / NbCos detected order56 HIERARCH TNG DRS SPE NBCOS57 = 1 / NbCos detected order57 HIERARCH TNG DRS SPE NBCOS58 = 5 / NbCos detected order58 HIERARCH TNG DRS SPE NBCOS59 = 0 / NbCos detected order59 HIERARCH TNG DRS SPE NBCOS60 = 10 / NbCos detected order60 HIERARCH TNG DRS SPE NBCOS61 = 0 / NbCos detected order61 HIERARCH TNG DRS SPE NBCOS62 = 2 / NbCos detected order62 HIERARCH TNG DRS SPE NBCOS63 = 1 / NbCos detected order63 HIERARCH TNG DRS SPE NBCOS64 = 5 / NbCos detected order64 HIERARCH TNG DRS SPE NBCOS65 = 4 / NbCos detected order65 HIERARCH TNG DRS SPE NBCOS66 = 1 / NbCos detected order66 HIERARCH TNG DRS SPE NBCOS67 = 7 / NbCos detected order67 HIERARCH TNG DRS SPE NBCOS68 = 49 / NbCos detected order68 HIERARCH TNG DRS BERV = -8.74991322738328 / Barycentric Earth Radial Velocity HIERARCH TNG DRS BJD = 2458722.42733432 / Barycentric Julian Day HIERARCH TNG DRS BERVMX = 19.8704429999793 / Maximum BERV HIERARCH TNG DRS CAL TH FILE = 'HARPN.2019-08-26T16-01-35.415_wave_A.fits' / WavHIERARCH TNG DRS CAL TH LAMP USED = 'THAR1 ' / Lamp used for wavelength calibrHIERARCH TNG DRS CAL TH LINE SPOT0 = 14587924745542.5 / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT1 = 3342.29359475687 / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT2 = -3.35345758610983E+15 / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT3 = 167.048896118212 / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT4 = 6.22222222222222 / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT5 = 8. / th line #0 HIERARCH TNG DRS CAL TH LINE SPOT6 = 3725.88849216166 / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT7 = 3348.47472078244 / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT8 = 2.23291661751694 / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT9 = 3.49550009610408 / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT10 = 6.375 / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT11 = 8. / th line #1 HIERARCH TNG DRS CAL TH LINE SPOT12 = 394.361332049893 / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT13 = 1198.93436990913 / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT14 = 3.38055919588487 / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT15 = -10.7717381386146 / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT16 = 8.91566265060241 / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT17 = 142. / th line #2 HIERARCH TNG DRS CAL TH LINE SPOT18 = 411.347864021646 / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT19 = 1201.9247389632 / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT20 = 3.09489710116104 / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT21 = -5.29483697716987 / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT22 = 7.39285714285714 / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT23 = 89. / th line #3 HIERARCH TNG DRS CAL TH LINE SPOT24 = 3895.28547700548 / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT25 = 878.964273570796 / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT26 = 15.4204410731802 / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT27 = -1.71243206624112 / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT28 = 4.9 / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT29 = 10. / th line #4 HIERARCH TNG DRS CAL TH LINE SPOT30 = 3911.93161491652 / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT31 = 884.013910894863 / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT32 = 9.2880381643391 / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT33 = 119.419046363185 / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT34 = 6. / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT35 = 7. / th line #5 HIERARCH TNG DRS CAL TH LINE SPOT36 = 617.020966150328 / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT37 = 3232.24841201138 / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT38 = 2.8424566163092 / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT39 = 2.95610748710981 / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT40 = 3.03170522707798 / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT41 = 1125. / th line #6 HIERARCH TNG DRS CAL TH LINE SPOT42 = 641.737436169484 / th line #7 HIERARCH TNG DRS CAL TH LINE SPOT43 = 3236.59600930478 / th line #7 HIERARCH TNG DRS CAL TH LINE SPOT44 = 3.06467859462673 / th line #7 HIERARCH TNG DRS CAL TH LINE SPOT45 = 2.67538966309365 / th line #7 HIERARCH TNG DRS CAL TH LINE SPOT46 = 4.77486910994764 / th line #7 HIERARCH TNG DRS CAL TH LINE SPOT47 = 168. / th line #7 HIERARCH TNG DRS CAL TH COEFF LL131 = -2.93907049172731E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL249 = 0.0204332212225132 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X153 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER52 = 14.0156775600737 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER53 = 13.5917721479523 / reduced chi-square HIERARCH TNG DRS CAL TH ORDER NBLUE = 43 / nb blue orders HIERARCH TNG DRS CAL TH COEFF X79 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X78 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X73 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X72 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X71 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X70 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X77 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X76 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X75 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X74 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL127 = -4.11520188563295E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL126 = -5.19286949432068E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL125 = 0.0153760010455934 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL124 = 4826.81362226315 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL123 = -4.49118812596931E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL122 = -5.15071943966085E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL121 = 0.0152538327789635 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL120 = 4788.8220099062 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL246 = -6.8041827392162E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL247 = -7.37621199183727E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL244 = 6334.4685159855 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL245 = 0.0202182943655415 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL242 = -6.74721966605215E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL243 = -5.76296381911178E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL129 = 0.0155016944617573 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL128 = 4865.41196634101 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL228 = 6081.19634168027 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL239 = -6.66689691663773E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL238 = -6.66998831952978E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL229 = 0.0194112255053732 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL233 = 0.0196085588017603 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL232 = 6142.59551473564 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL231 = -3.88250108884616E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL230 = -6.55522833548446E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL237 = 0.0198051362982261 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL236 = 6205.24982274373 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL235 = -4.31993162058565E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL234 = -6.62111376027952E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH LITTROW ONE MAXDEV = 50.907689853982 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF LL241 = 0.0200120673209748 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL220 = 5962.01037232775 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL221 = 0.0190241795444465 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X91 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X90 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X93 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X92 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X95 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X94 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X97 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X96 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X99 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X98 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH FLUX RATIO = 2.18777323954733 / flux ratio relative to rHIERARCH TNG DRS CAL TH COEFF LL225 = 0.0192143717310485 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X119 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X118 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL67 = -5.45097153252759E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL66 = -4.62211628734855E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL61 = 0.0136201918673552 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL60 = 4283.1488974737 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL63 = -5.7174623225906E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL62 = -4.58797760408636E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X111 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X110 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X113 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X112 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL69 = 0.0138183286506825 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL68 = 4344.31249031318 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X117 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X116 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X201 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X200 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH DEG LL = 3 / degre polyn fit ll(x,order) HIERARCH TNG DRS CAL TH ERROR = 0.403598544787029 / estim err on wave sol(m/s) HIERARCH TNG DRS CAL TH RMS ORDER63 = 54.5552158175172 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF LL8 = 3924.04681511156 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL9 = 0.0124600283731056 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL2 = -4.14154230418283E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL3 = -5.14733710035248E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL0 = 3874.07710740119 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL1 = 0.0122993594702608 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL6 = -4.16455950368683E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL7 = -5.78320747470735E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL4 = 3898.90188455661 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL5 = 0.012378830947713 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X234 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X209 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X236 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X237 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X230 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X231 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X232 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X208 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH LITTROW THREE MAXDEV = 44.5333596444113 / Littrow (m/s)HIERARCH TNG DRS CAL TH COEFF X238 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X239 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X152 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER58 = 37.0181724512525 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL173 = 0.0170111874691388 / coeff ll(x,order) HIERARCH TNG DRS CAL TH FILE LINES = 'line_list_HARPN_A.dat' / file name cal linHIERARCH TNG DRS CAL TH COEFF LL178 = -5.77426508123622E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL179 = -7.38938074242894E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL170 = -5.69148202095201E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL171 = -4.85170879635438E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL172 = 5334.68088579762 / coeff ll(x,order) HIERARCH TNG DRS CAL TH ORDER START = 157 / num first blue order HIERARCH TNG DRS CAL TH COEFF LL174 = -5.73701956821027E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL175 = -5.69608545001375E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL176 = 5381.87229834336 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL177 = 0.0171597502073043 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X256 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X20 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X21 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X22 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X23 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X24 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X25 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X26 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X27 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X28 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X29 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL275 = -5.22998935324237E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL274 = -7.3454191634559E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL273 = 0.0218092017880911 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL272 = 6832.45794288569 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL271 = -7.13628380699031E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL270 = -7.25806866556111E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER6 = 18.5661748246952 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER7 = 9.43277341511461 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER4 = 14.9539313915285 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER5 = 14.9648982265695 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER2 = 7.77746802417433 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER3 = 16.1917127374282 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER0 = 6.50957144530454 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER1 = 12.8930478497559 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X159 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X158 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER8 = 13.8222430939975 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER9 = 31.6246096018705 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER59 = 32.741513553825 / reduced chi-square HIERARCH TNG DRS CAL TH ABSOLUTE DV = 688.761530791584 / absolute shift (m/s) HIERARCH TNG DRS CAL TH RMS ORDER58 = 78.0787570953865 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER59 = 70.4840461184364 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF LL18 = -4.24521715239109E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL19 = -6.49104586637309E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL14 = -4.21680679521895E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL15 = -6.24171215075886E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL16 = 3975.32200311508 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL17 = 0.0126254950373014 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL10 = -4.19201209699213E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL11 = -5.79806107581716E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL12 = 3949.51821902252 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL13 = 0.0125416743833105 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X270 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X271 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X272 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X273 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X274 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X275 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL89 = 0.0143377488636224 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL88 = 4505.14922811611 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL83 = -5.16232245459973E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL82 = -4.7616841295434E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL81 = 0.0141246414328365 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL80 = 4439.40693285409 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL87 = -4.1640494959909E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL86 = -4.80449468630135E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL85 = 0.0142315082958769 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL84 = 4472.03576812262 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL253 = 0.0206516779407593 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X187 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL58 = -4.55357553259869E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL59 = -5.92835508384855E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X128 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER62 = 72.9163422599288 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X129 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X155 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X154 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X157 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X124 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X156 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X125 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X151 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER61 = 56.5169047873463 / rms around fit (m/s) HIERARCH TNG DRS CAL TH GUESS ORDER = 36 / # guess order HIERARCH TNG DRS CAL TH COEFF X126 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X150 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X127 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X68 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X69 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X64 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X65 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X66 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X67 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X60 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X61 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X62 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X63 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL134 = -5.28498321968409E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL135 = -3.01445225527315E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL136 = 4944.49250244473 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL137 = 0.015756286069799 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL130 = -5.24206781065301E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL56 = 4253.20788487953 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL132 = 4904.63308473237 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL133 = 0.0156283287977984 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL57 = 0.0135233436122882 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL138 = -5.32440104793036E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL139 = -3.85756673160129E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL181 = 0.0173165939068103 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL180 = 5429.90416303575 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL183 = -5.46084278139797E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL182 = -5.83949109919912E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL185 = 0.0174739060021072 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL184 = 5478.8014249665 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL187 = -5.51662721348052E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL186 = -5.89253587189603E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL189 = 0.0176327260211094 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL188 = 5528.58777344389 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL222 = -6.39783537988974E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL223 = -8.61733861360985E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL224 = 6021.01424880963 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER45 = 24.5779911850568 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL226 = -6.46765133037204E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL227 = -7.5796317837392E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH RMS ORDER60 = 58.4762350340179 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER67 = 45.3134019042491 / rms around fit (m/s) HIERARCH TNG DRS CAL TH LITTROW ONE MEAN = 0.283637810071209 / Littrow (m/s) HIERARCH TNG DRS CAL TH RMS ORDER66 = 57.3312772058246 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER65 = 36.9854595053796 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X120 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER64 = 55.308393431248 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF LL252 = 6469.18424920196 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X19 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X18 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL240 = 6269.19238818659 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X11 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X10 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X13 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X12 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X15 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X14 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X17 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X16 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X82 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X83 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X80 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X81 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X86 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X87 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X84 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X85 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X88 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X89 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER16 = 35.3311137697242 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER17 = 48.1239666188705 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER14 = 40.3165809212579 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER15 = 47.579983355497 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER12 = 41.8755959302485 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER13 = 47.607084175201 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER10 = 37.1602075370176 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER11 = 89.6683686681739 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF LL50 = -4.49320928009081E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL51 = -5.24712270240362E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL52 = 4223.68243203626 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL53 = 0.0134288600290348 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL54 = -4.52428991092559E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL55 = -5.63445682519127E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH RMS ORDER18 = 51.1377759020074 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER19 = 40.7766456847904 / rms around fit (m/s) HIERARCH TNG DRS CAL TH CHISQ ORDER47 = 17.225019582166 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER46 = 12.3241563833726 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X122 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER44 = 62.7569708822477 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER43 = 19.4067411087813 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER42 = 20.2115524144502 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER41 = 14.9565521991074 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER40 = 13.4019660738831 / reduced chi-square HIERARCH TNG DRS CAL TH RMS ORDER68 = 78.4008016829334 / rms around fit (m/s) HIERARCH TNG DRS CAL TH CHISQ ORDER49 = 21.3605538444128 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER48 = 26.2749148159659 / reduced chi-square HIERARCH TNG DRS CAL TH ORDER NGAP = 0 / nb orders in the gap HIERARCH TNG DRS CAL TH COEFF X123 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X229 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X228 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH FIT MEAN = 0. / mean value res (mpix) HIERARCH TNG DRS CAL TH COEFF X222 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X221 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X220 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X227 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X226 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X225 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X224 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER52 = 46.005468995364 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER53 = 44.3422020169049 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER50 = 65.7683719918962 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER51 = 41.4143841593559 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER56 = 41.5024262426223 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER57 = 55.4150353810061 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER54 = 34.6876697376162 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER55 = 57.781449588074 / rms around fit (m/s) HIERARCH TNG DRS CAL TH LITTROW TWO MAXDEV = 28.7842808456792 / Littrow (m/s) HIERARCH TNG DRS CAL TH NBR LINES = 6977 / nr lines used HIERARCH TNG DRS CAL TH COEFF LL154 = -5.50240636123637E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL149 = 0.0161521232695082 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL148 = 5068.05496981261 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL145 = 0.016018246364117 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL144 = 5026.18638296508 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL147 = -4.67611682110386E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL146 = -5.40676648177478E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL141 = 0.0158867364541777 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL140 = 4985.00431534144 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL143 = -4.07974024867517E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL142 = -5.36732243081097E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X55 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X54 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X57 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X56 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X51 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X50 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X53 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X52 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X59 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X58 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL264 = 6682.35778136358 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL265 = 0.0213341714795099 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL266 = -7.19986356741428E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL267 = -3.92706991060272E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL260 = 6609.75538140914 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL261 = 0.0210990604388092 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL262 = -7.10191566503555E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL263 = -7.00208862523482E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL268 = 6756.57505209744 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL269 = 0.0215670282360974 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X168 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X169 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X160 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X161 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X162 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X163 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X164 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X165 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X166 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X167 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X223 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER29 = 40.6326032548373 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER28 = 30.2278681118856 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER27 = 26.0588844375741 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER26 = 44.3438461030323 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER25 = 39.1017481102079 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER24 = 42.5594913069476 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER23 = 39.5156045859012 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER22 = 32.9870489169824 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER21 = 33.2289951946446 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER20 = 41.6550908476271 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X267 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X266 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X265 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X264 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X263 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X262 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X261 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X260 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X269 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X268 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X182 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X183 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X180 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X181 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X186 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER36 = 12.1568101291373 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X184 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X185 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X188 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X189 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER18 = 19.6744141524307 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER19 = 13.7904774995534 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER14 = 13.5939141162113 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER15 = 17.7082924494681 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER16 = 11.3164238115376 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER17 = 18.6174785574829 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER10 = 11.7564010926724 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER11 = 66.9593655360564 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER12 = 14.2393815638455 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER13 = 18.1869638875563 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X212 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X213 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X210 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X211 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X216 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X217 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X214 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X215 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X218 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X219 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH FIT RMS = 48.1599373350392 / rms value res (mpix) HIERARCH TNG DRS CAL TH CHISQ ORDER34 = 9.70099463840499 / reduced chi-square HIERARCH TNG DRS CAL TH LITTROW TWO RMS = 11.0231604651713 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF LL201 = 0.0181333650385782 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL204 = 5737.12330911381 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X47 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL205 = 0.0183034949358221 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL248 = 6401.11763577169 / coeff ll(x,order) HIERARCH TNG DRS CAL TH ORDER NBR = 69 / nb orders in total HIERARCH TNG DRS CAL TH COEFF LL208 = 5791.73955976836 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL65 = 0.0137182945525251 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL209 = 0.0184789510410947 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X40 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL64 = 4313.51384068319 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL109 = 0.0148981929358541 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL108 = 4678.35396090046 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL101 = 0.0146691602691186 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL100 = 4607.49792278177 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL103 = -3.74615901811762E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL102 = -4.95557097866028E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL105 = 0.0147818885445629 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL104 = 4642.65624378864 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL107 = -4.17244775403836E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL106 = -4.99109168303972E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL196 = 5630.92495722222 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL197 = 0.017962552435779 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL194 = -6.00397076520672E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL195 = -5.3767454305903E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL192 = 5579.28604565045 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL193 = 0.0177980842012608 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL190 = -5.93699595908974E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL191 = -7.12044922266555E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL215 = -6.04771204665916E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL214 = -6.29002224838213E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL217 = 0.0188387556628652 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL216 = 5904.15232305858 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL211 = -6.67759691224635E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL210 = -6.2249997131171E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL198 = -6.05012886208986E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL199 = -7.00418619123052E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL259 = -7.01963502249428E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL258 = -7.02139694331469E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X115 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X114 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER4 = 38.2504160221093 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER5 = 36.1169586752703 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER6 = 43.9146383881127 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER7 = 30.7205277257749 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER0 = 25.4953878512489 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER1 = 38.2361687631219 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER2 = 29.0076868192951 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER3 = 40.8733597574374 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER8 = 40.4658680223468 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER9 = 59.542062552882 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X133 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X132 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X131 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X130 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X137 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X136 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X135 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X134 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X139 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X138 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL49 = 0.0133345113291919 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL48 = 4194.56517840032 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL47 = -5.23327372272258E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL46 = -4.46130145595766E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL45 = 0.0132416505210242 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL44 = 4165.84616584426 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL43 = -4.49611607743938E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL42 = -4.43486235167287E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL41 = 0.0131510720543508 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL40 = 4137.51732402243 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER50 = 36.5222457941131 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER51 = 12.2096141034444 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL38 = -4.40205914543971E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL39 = -4.96561231495318E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER54 = 9.79972119065405 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER55 = 28.5825540617604 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER56 = 13.4175669242409 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER57 = 20.9891480279028 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL32 = 4082.00152133611 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL33 = 0.0129700992599949 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL30 = -4.3396052812063E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL31 = -5.39199669729542E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL36 = 4109.57190379918 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL37 = 0.0130605100542466 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL34 = -4.36328507202649E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL35 = -6.28405078153721E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X258 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X259 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH LITTROW TWO MEAN = 0.00893907854394757 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF X257 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X254 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X255 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X252 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X253 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X250 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X251 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER25 = 11.3317334898115 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER24 = 13.0730984088875 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER27 = 6.63208526220136 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER26 = 15.894232131551 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER21 = 8.52587302032472 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER20 = 13.7493370793587 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER23 = 13.436861781178 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER22 = 9.81798918638913 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER29 = 11.8044394303985 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER28 = 7.13376829097448 / reduced chi-square HIERARCH TNG DRS CAL TH RMS ORDER45 = 62.6121074539507 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER44 = 87.3774455782911 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER42 = 61.3659731587734 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER49 = 53.8569153615759 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER48 = 55.9686888310105 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF LL219 = -7.57405376191203E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL26 = -4.3118758888683E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH LITTROW TWO MINDEV = -28.1734340297854 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF LL218 = -6.34064109262574E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X46 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH GUESS LINES = 'none ' / filename guess lines HIERARCH TNG DRS CAL TH COEFF X44 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X45 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X42 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X43 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH LITTROW ONE MINDEV = -31.3377324161606 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF X41 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X48 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X49 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL152 = 5110.62544182628 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL153 = 0.0162911284170626 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL150 = -5.44704776364967E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL151 = -5.68092780666537E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL156 = 5153.91829350477 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL157 = 0.0164288503412488 / coeff ll(x,order) HIERARCH TNG DRS CAL TH LITTROW ONE RMS = 12.3791907855294 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF LL155 = -4.50164636497683E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL251 = -5.87518718303051E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL250 = -6.88606084044539E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL158 = -5.54042949086244E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL159 = -5.61404393683348E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL255 = -5.04715083504816E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL254 = -6.9644672662727E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL257 = 0.0208697333015353 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL256 = 6538.71707285729 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X179 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X178 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X177 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X176 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X175 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X174 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X173 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X172 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X171 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X170 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL213 = 0.018659130630906 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL212 = 5847.40403364673 / coeff ll(x,order) HIERARCH TNG DRS CAL TH RMS ORDER38 = 70.6366463015714 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER39 = 81.8950894306972 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X235 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH RMS ORDER34 = 37.4336227114042 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER35 = 34.1700180705535 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER36 = 35.824134150774 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER37 = 61.6076871237675 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER30 = 43.78801450868 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER31 = 38.585671730299 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER32 = 47.5854374588536 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER33 = 46.4967492245319 / rms around fit (m/s) HIERARCH TNG DRS CAL TH COEFF X233 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL76 = 4407.24938525436 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL77 = 0.0140211615570441 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL74 = -4.68744674518519E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL75 = -6.02195030155906E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL72 = 4375.55489689335 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL73 = 0.0139182381926054 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL70 = -4.65790941273296E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL71 = -5.34303931036793E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X102 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X103 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X100 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X101 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X106 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH DEG X = 3 / degre polyn fit x(ll,order) HIERARCH TNG DRS CAL TH COEFF LL78 = -4.72762690775399E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL79 = -4.90250359333386E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH LITTROW THREE MINDEV = -23.4116836950252 / Littrow (m/sHIERARCH TNG DRS CAL TH COEFF X190 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X193 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X192 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X195 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X194 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X197 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X196 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X199 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X198 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER68 = 39.5087827733276 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER61 = 24.9023031557242 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER60 = 20.4990645602805 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER63 = 16.7608883961676 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER62 = 37.5901030097634 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER65 = 11.7348356142617 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER64 = 16.9330476557871 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER67 = 13.1364659519859 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER66 = 20.2728266838843 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X121 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X9 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X8 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X203 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X202 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X205 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X204 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X207 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X206 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X1 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X0 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X3 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X2 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X5 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X4 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X7 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X6 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL118 = -5.10499832028474E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL119 = -4.91965694965044E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL116 = 4751.42507952201 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL117 = 0.0151318156911488 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL114 = -5.07022917451041E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL115 = -4.38468354357691E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL112 = 4714.60601603564 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL113 = 0.0150146108573127 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL110 = -5.03555993052368E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL111 = -3.39933384958405E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL169 = 0.0168622782925197 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL168 = 5288.31166957066 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL163 = -5.86347401569816E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL162 = -5.58616123694839E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL161 = 0.0165700054490336 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL160 = 5197.95097620698 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL167 = -5.29414593322665E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL166 = -5.63910949499093E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL165 = 0.0167151359225949 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL164 = 5242.74202979638 / coeff ll(x,order) HIERARCH TNG DRS CAL TH LITTROW THREE MEAN = 1.04983508072017 / Littrow (m/s) HIERARCH TNG DRS CAL TH COEFF X108 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL202 = -6.11982086006108E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL203 = -4.68981195478425E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL200 = 5683.52767207519 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X109 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL206 = -6.16395412722972E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL207 = -7.01845323975629E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X39 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X38 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X37 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X36 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X35 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X34 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X33 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X32 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X31 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X30 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X146 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X147 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X144 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X145 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X142 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X143 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X140 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X141 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X148 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X149 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH ORDER NRED = 26 / nb red orders HIERARCH TNG DRS CAL TH COEFF LL29 = 0.0128834434717144 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL28 = 4054.79785264755 / coeff ll(x,order) HIERARCH TNG DRS CAL TH RMS ORDER47 = 50.285368195339 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER46 = 38.9762271304045 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER41 = 41.3823405635461 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER40 = 41.5980487514892 / rms around fit (m/s) HIERARCH TNG DRS CAL TH RMS ORDER43 = 47.7940694170597 / rms around fit (m/s) HIERARCH TNG DRS CAL TH CHISQ ORDER37 = 19.1455858855232 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL21 = 0.0127093399579869 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL20 = 4001.46620300557 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL23 = -6.45105270176428E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL22 = -4.27273265757937E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL25 = 0.0127967866130499 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL24 = 4027.95513453402 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL27 = -4.9389671888102E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF X107 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER35 = 9.38601924181951 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X104 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH LITTROW THREE RMS = 12.0704832574803 / Littrow (m/s) HIERARCH TNG DRS CAL TH CHISQ ORDER32 = 17.7038592768639 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X105 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH CHISQ ORDER33 = 15.6550603481021 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X191 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL92 = 4538.75681920096 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER31 = 12.2181597717958 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF X249 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X248 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X245 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X244 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X247 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X246 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X241 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X240 = 0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X243 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF X242 = -0. / coeff x=(ll,order) HIERARCH TNG DRS CAL TH COEFF LL94 = -4.87228884239328E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL95 = -4.96665477785584E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL96 = 4572.86996323419 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL97 = 0.0145555482206281 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL90 = -4.83681212080101E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL91 = -4.86085191926106E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER30 = 15.9086274731226 / reduced chi-square HIERARCH TNG DRS CAL TH COEFF LL93 = 0.0144458288876081 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL98 = -4.90983278545744E-07 / coeff ll(x,order) HIERARCH TNG DRS CAL TH COEFF LL99 = -4.77100641115072E-13 / coeff ll(x,order) HIERARCH TNG DRS CAL TH CHISQ ORDER38 = 30.4143689350365 / reduced chi-square HIERARCH TNG DRS CAL TH CHISQ ORDER39 = 48.7762795741881 / reduced chi-square HIERARCH TNG DRS CAL TH LAMP OFFSET = 2.06432589739964 / ThAr lamp RV offset HIERARCH IA2 REDUC DATE = '2019-08-27' / IA2 reduction date HIERARCH IA2 DRS VERSION = 'HARPN_3.7.1_140214' / IA2 DRS version END Eh5E{Ec(E&EvExEEEmZEw)E@BE{ +EJEE!EEik`EO#GEArEEEvEHEpE9YER-ETEEElAGEEy$EE%PE^{E0Es^E{EE zE2E!jElEJEuFE\Ep[E%E5EEkEEJEHEE EeQE$EBEaE5EsEZEtEYEpoEE~YEyEt*ErgE[yEcNEʭE]Ef&E6EIEyE2E,^EtE{[pE|EcE$EpEEqEl˜E[EE$E)EEz5EEt{REM}EEEn6EME\GE0PEEKHEorEq`EzElE`E,ErEq ?E_ErEvEZEiEEo=EuEy#Ei"EEUElEEsUE;:EY!E{ Em3QEINEEMEErE]EUiEg EEOEUEsEEPEpgTElm_EVTE3Etp E7EEE[E}$CEuEn*ECE EEVWE9QEg%EvEnEEuDE EkEy"EfZEuEEu0EgE`dE ExByE|khExEfEyrEUEJEdOE}_EKXEZEPEycElwEiE EEf1Ew EEwíE.EoEzEvYErmE{EGmEZoEtEOExEhEyRE Ek_Eh RE|!EoEOEOE +EZKE-EZ~EjE{|-ErEEE'EEUEsKEp +NEEwzEUE0E~E`P|EEE}ќE?EvEP>E^*EhBEE EnE|k.EtcSE^EݰE\EbrEE~Ek#EhNEr UEEtEpEe EZ+UEn +E~XE`PEE:EE(ErTEE Ef&E_Eg5EgEhEgE^.E@>EcELmE^\Eh Ey~EEkE_ ErQEyEmqEcOEfEnEu10EjlEZ)EYtZE[vWESHEEE^/OEpy1EW\EEh^Ej >EfREu*EyXbEV E]EeEtEPEBEzTEjCETER EjȡE]hEeEzEmE_2Et#Ev9EqEQg-E]hEmSEBEU]EMoME[ߪEo0EwfEE_&vEb\ETE^B6ElpyE?E vE|ȷErElڇEC}EUNEq! 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n2_05/HARPN.2018-07-12T22-31-48.740_s1d_A.pfn +2458312.4459749400 -24.0872693996 0.2388366886 n2_05/HARPN.2018-07-12T22-35-33.459_s1d_A.pfn +2458312.4486022899 -24.8123896436 0.2508075442 n2_05/HARPN.2018-07-12T22-39-20.077_s1d_A.pfn +2458312.4512643702 -25.0165418567 0.2067177013 n2_05/HARPN.2018-07-12T22-43-05.895_s1d_A.pfn +2458312.4538570000 -24.1345224209 0.2319617046 n2_05/HARPN.2018-07-12T22-46-50.615_s1d_A.pfn +2458312.4564612098 -24.3179922155 0.2298207348 n2_05/HARPN.2018-07-12T22-50-37.231_s1d_A.pfn +2458312.4590538400 -24.7292109100 0.2278148510 n2_05/HARPN.2018-07-12T22-54-22.349_s1d_A.pfn +2458312.4616580498 -24.1226678061 0.2814576640 n2_05/HARPN.2018-07-12T22-58-08.968_s1d_A.pfn +2458312.4827231900 -24.5095670966 0.2433335671 n2_05/HARPN.2018-07-12T23-28-12.001_s1d_A.pfn +2458312.4851769302 -24.2191590495 0.2275260494 n2_05/HARPN.2018-07-12T23-31-56.852_s1d_A.pfn +2458312.4877579901 -24.6599924102 0.2232078210 n2_05/HARPN.2018-07-12T23-35-44.670_s1d_A.pfn 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n2_05/HARPN.2018-07-13T00-51-07.876_s1d_A.pfn +2458312.5427472498 -24.3170132951 0.2274880948 n2_05/HARPN.2018-07-13T00-54-52.581_s1d_A.pfn +2458312.5453398898 -24.1421233183 0.2238968988 n2_05/HARPN.2018-07-13T00-58-37.315_s1d_A.pfn +2458312.5479556699 -24.3445461642 0.2353780512 n2_05/HARPN.2018-07-13T01-02-22.434_s1d_A.pfn +2458312.5506061702 -24.6266659790 0.2288789100 n2_05/HARPN.2018-07-13T01-06-09.114_s1d_A.pfn +2458312.5531988000 -24.5746491085 0.2389135517 n2_05/HARPN.2018-07-13T01-09-54.194_s1d_A.pfn +2458312.5558030098 -24.0526474536 0.2613170246 n2_05/HARPN.2018-07-13T01-13-39.251_s1d_A.pfn +2458312.5583724901 -24.3144526406 0.2456649702 n2_05/HARPN.2018-07-13T01-17-24.361_s1d_A.pfn +2458312.5609998498 -24.2161223295 0.2785045668 n2_05/HARPN.2018-07-13T01-21-09.506_s1d_A.pfn +2458312.5636850800 -24.5964025300 0.3111559160 n2_05/HARPN.2018-07-13T01-24-54.592_s1d_A.pfn +2458312.5661735400 -23.8172686514 0.2858088023 n2_05/HARPN.2018-07-13T01-28-39.391_s1d_A.pfn +2458312.5688240398 -24.3348502996 0.2437839004 n2_05/HARPN.2018-07-13T01-32-24.858_s1d_A.pfn +2458312.5714745498 -24.1747075805 0.2487087398 n2_05/HARPN.2018-07-13T01-36-09.573_s1d_A.pfn +2458312.5740556000 -24.3848197288 0.2162895683 n2_05/HARPN.2018-07-13T01-39-54.257_s1d_A.pfn +2458312.5766019402 -24.1316643826 0.2673514612 n2_05/HARPN.2018-07-13T01-43-39.429_s1d_A.pfn +2458312.5792755899 -24.4636034849 0.2666559941 n2_05/HARPN.2018-07-13T01-47-24.473_s1d_A.pfn +2458312.5818450800 -24.4481494131 0.2503373668 n2_05/HARPN.2018-07-13T01-51-09.187_s1d_A.pfn +2458312.5844840002 -24.5936690223 0.2767741464 n2_05/HARPN.2018-07-13T01-54-55.840_s1d_A.pfn +2458312.5870997799 -24.5254112291 0.2530520446 n2_05/HARPN.2018-07-13T01-58-43.642_s1d_A.pfn +2458312.5897039901 -24.4700745727 0.2644485189 n2_05/HARPN.2018-07-13T02-02-32.239_s1d_A.pfn +2458312.5923545002 -24.9427804999 0.2773748230 n2_05/HARPN.2018-07-13T02-06-17.287_s1d_A.pfn +2458312.5948892599 -24.5963012075 0.2820736816 n2_05/HARPN.2018-07-13T02-10-02.705_s1d_A.pfn +2458312.5975860599 -24.8232941632 0.2734889866 n2_05/HARPN.2018-07-13T02-13-49.733_s1d_A.pfn +2458312.6001786902 -25.1609336902 0.2418302512 n2_05/HARPN.2018-07-13T02-17-34.885_s1d_A.pfn +2458312.6026787302 -24.9130368705 0.2780170639 n2_05/HARPN.2018-07-13T02-21-19.580_s1d_A.pfn +2458312.6054449701 -24.9652815867 0.2276916130 n2_05/HARPN.2018-07-13T02-25-04.774_s1d_A.pfn +2458312.6080375998 -25.0887920332 0.2473315479 n2_05/HARPN.2018-07-13T02-28-49.979_s1d_A.pfn +2458312.6105260700 -25.2602330402 0.2525077879 n2_05/HARPN.2018-07-13T02-32-35.000_s1d_A.pfn +2458312.6132228700 -25.1548282785 0.2399726151 n2_05/HARPN.2018-07-13T02-36-19.718_s1d_A.pfn +2458312.6158502200 -24.6265370264 0.2402088321 n2_05/HARPN.2018-07-13T02-40-04.841_s1d_A.pfn +2458312.6183849801 -25.2246755976 0.2300613763 n2_05/HARPN.2018-07-13T02-43-49.542_s1d_A.pfn +2458312.6210586401 -25.3133870140 0.2415075996 n2_05/HARPN.2018-07-13T02-47-34.252_s1d_A.pfn +2458312.6236049701 -25.3666408993 0.2472190366 n2_05/HARPN.2018-07-13T02-51-18.964_s1d_A.pfn +2458312.6261860300 -24.9742132167 0.2389335549 n2_05/HARPN.2018-07-13T02-55-03.675_s1d_A.pfn +2458312.6288481099 -24.9823050411 0.2353506737 n2_05/HARPN.2018-07-13T02-58-48.498_s1d_A.pfn +2458312.6314523099 -25.0720057155 0.2084331951 n2_05/HARPN.2018-07-13T03-02-34.736_s1d_A.pfn +2458312.6340565202 -25.1355531325 0.1911869365 n2_05/HARPN.2018-07-13T03-06-20.237_s1d_A.pfn +2458312.6366954502 -25.2910110688 0.2116456107 n2_05/HARPN.2018-07-13T03-10-05.666_s1d_A.pfn +2458312.6392765101 -25.4654166701 0.2187992342 n2_05/HARPN.2018-07-13T03-13-51.460_s1d_A.pfn +2458312.6418459900 -25.4295728753 0.2144930618 n2_05/HARPN.2018-07-13T03-17-36.184_s1d_A.pfn +2458312.6444733399 -24.8716294434 0.1991196275 n2_05/HARPN.2018-07-13T03-21-21.307_s1d_A.pfn +2458312.6471007001 -24.3345765019 0.1907514266 n2_05/HARPN.2018-07-13T03-25-07.105_s1d_A.pfn +2458312.6497049099 -25.1789293894 0.2097332649 n2_05/HARPN.2018-07-13T03-28-51.817_s1d_A.pfn +2458312.6523322598 -24.5363104598 0.2089533469 n2_05/HARPN.2018-07-13T03-32-38.491_s1d_A.pfn +2458312.6549017401 -24.8101780283 0.2106088675 n2_05/HARPN.2018-07-13T03-36-23.966_s1d_A.pfn +2458312.6575175198 -24.9284573284 0.2236449082 n2_05/HARPN.2018-07-13T03-40-09.395_s1d_A.pfn +2458312.6601101598 -24.3839377974 0.2121907989 n2_05/HARPN.2018-07-13T03-43-54.110_s1d_A.pfn +2458312.6626912099 -24.4389083406 0.2297429212 n2_05/HARPN.2018-07-13T03-47-39.906_s1d_A.pfn +2458312.6653764402 -24.4812578595 0.1991888241 n2_05/HARPN.2018-07-13T03-51-25.042_s1d_A.pfn +2458312.6723904298 -24.2879996541 0.1996533428 n2_05/HARPN.2018-07-13T04-01-36.713_s1d_A.pfn +2458312.6895087501 -24.4428771298 0.2086184336 n2_05/HARPN.2018-07-13T04-26-07.676_s1d_A.pfn +2458312.6920435098 -24.7643448169 0.2153345622 n2_05/HARPN.2018-07-13T04-29-52.390_s1d_A.pfn +2458312.6946708700 -25.1704542141 0.2015377009 n2_05/HARPN.2018-07-13T04-33-39.414_s1d_A.pfn +2458312.6972866501 -24.6227461170 0.2195072429 n2_05/HARPN.2018-07-13T04-37-23.763_s1d_A.pfn +2458312.6998677002 -24.5019124891 0.2260279512 n2_05/HARPN.2018-07-13T04-41-09.743_s1d_A.pfn +2458312.7024950599 -24.7406934628 0.2233860087 n2_05/HARPN.2018-07-13T04-44-56.368_s1d_A.pfn +2458312.7051339899 -24.2243775164 0.2197324107 n2_05/HARPN.2018-07-13T04-48-43.695_s1d_A.pfn +2458312.7077613398 -24.3568128604 0.2416770015 n2_05/HARPN.2018-07-13T04-52-28.810_s1d_A.pfn +2458312.7103423998 -24.5612176633 0.2207281302 n2_05/HARPN.2018-07-13T04-56-13.171_s1d_A.pfn +2458312.7129581799 -24.7612847814 0.2202747768 n2_05/HARPN.2018-07-13T04-59-59.744_s1d_A.pfn +2458312.7155855298 -24.4922420594 0.2227902076 n2_05/HARPN.2018-07-13T05-03-45.983_s1d_A.pfn +2458312.7182244598 -24.5745008021 0.2219453970 n2_05/HARPN.2018-07-13T05-07-32.586_s1d_A.pfn +2458312.7208170900 -24.3567908027 0.2150353307 n2_05/HARPN.2018-07-13T05-11-16.860_s1d_A.pfn +2458312.7234097300 -24.1579771990 0.2305681899 n2_05/HARPN.2018-07-13T05-15-01.910_s1d_A.pfn diff --git a/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n3.txt b/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n3.txt new file mode 100644 index 0000000000000000000000000000000000000000..83bc946b083f049a983d4695af9698d39a3e5c8a --- /dev/null +++ b/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n3.txt @@ -0,0 +1,78 @@ +2458319.3982568099 -24.3320194316 0.2217849816 n3_05/HARPN.2018-07-19T21-25-45.451_s1d_A.pfn +2458319.4021225902 -24.3986071754 0.2315102089 n3_05/HARPN.2018-07-19T21-31-15.525_s1d_A.pfn +2458319.4058494698 -24.3573993659 0.2022809384 n3_05/HARPN.2018-07-19T21-36-41.030_s1d_A.pfn +2458319.4095532000 -24.6230280169 0.1866818362 n3_05/HARPN.2018-07-19T21-42-07.687_s1d_A.pfn +2458319.4133379599 -24.4123126757 0.2090390148 n3_05/HARPN.2018-07-19T21-47-32.803_s1d_A.pfn +2458319.4170995601 -24.4468556631 0.1734949212 n3_05/HARPN.2018-07-19T21-52-57.958_s1d_A.pfn +2458319.4208380198 -24.2600593797 0.2021623239 n3_05/HARPN.2018-07-19T21-58-25.291_s1d_A.pfn +2458319.4246574999 -24.3268860060 0.2037533415 n3_05/HARPN.2018-07-19T22-03-51.924_s1d_A.pfn +2458319.4284653999 -24.6380704439 0.1695373009 n3_05/HARPN.2018-07-19T22-09-18.928_s1d_A.pfn +2458319.4321922800 -24.3278799929 0.2170976984 n3_05/HARPN.2018-07-19T22-14-44.409_s1d_A.pfn +2458319.4359307401 -24.9091515726 0.2154277822 n3_05/HARPN.2018-07-19T22-20-09.809_s1d_A.pfn +2458319.4397270698 -24.4277772140 0.1981779300 n3_05/HARPN.2018-07-19T22-25-36.820_s1d_A.pfn +2458319.4435581202 -24.3085710066 0.2082236466 n3_05/HARPN.2018-07-19T22-31-04.230_s1d_A.pfn +2458319.4474586099 -24.6506127980 0.1884996807 n3_05/HARPN.2018-07-19T22-36-29.355_s1d_A.pfn +2458319.4511160501 -24.3204479258 0.1851042381 n3_05/HARPN.2018-07-19T22-41-54.495_s1d_A.pfn +2458319.4548313599 -24.3905314610 0.1836690459 n3_05/HARPN.2018-07-19T22-47-20.736_s1d_A.pfn +2458319.4586508400 -24.7520292840 0.1838658108 n3_05/HARPN.2018-07-19T22-52-45.432_s1d_A.pfn +2458319.4623314198 -24.6416319309 0.1573816060 n3_05/HARPN.2018-07-19T22-58-10.996_s1d_A.pfn +2458319.4660582999 -24.1471112425 0.1868020256 n3_05/HARPN.2018-07-19T23-03-36.436_s1d_A.pfn +2458319.4699009298 -24.1659751754 0.1892501944 n3_05/HARPN.2018-07-19T23-09-03.445_s1d_A.pfn +2458319.4737435500 -24.4273699559 0.1900724638 n3_05/HARPN.2018-07-19T23-14-30.098_s1d_A.pfn +2458319.4774704399 -23.8121345213 0.1967109095 n3_05/HARPN.2018-07-19T23-19-55.598_s1d_A.pfn +2458319.4812204698 -23.9106699677 0.2011340954 n3_05/HARPN.2018-07-19T23-25-20.672_s1d_A.pfn +2458319.4849820700 -24.0173045610 0.2213094849 n3_05/HARPN.2018-07-19T23-30-46.151_s1d_A.pfn +2458319.4888247000 -23.9272964255 0.1894248969 n3_05/HARPN.2018-07-19T23-36-15.141_s1d_A.pfn +2458319.4926210302 -23.8120275664 0.2130682635 n3_05/HARPN.2018-07-19T23-41-39.868_s1d_A.pfn +2458319.4962900402 -24.0234030732 0.1976908560 n3_05/HARPN.2018-07-19T23-47-04.166_s1d_A.pfn 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n3_05/HARPN.2018-07-20T00-46-43.932_s1d_A.pfn +2458319.5414871699 -24.8276696489 0.3008577965 n3_05/HARPN.2018-07-20T00-52-08.300_s1d_A.pfn +2458319.5453297901 -24.4816266602 0.3463252881 n3_05/HARPN.2018-07-20T00-57-33.781_s1d_A.pfn +2458319.5490914001 -25.4510416518 0.2262416421 n3_05/HARPN.2018-07-20T01-03-03.091_s1d_A.pfn +2458319.5528761498 -24.1440837997 0.3000420375 n3_05/HARPN.2018-07-20T01-08-30.099_s1d_A.pfn +2458319.5565798902 -25.1909019651 0.2764060455 n3_05/HARPN.2018-07-20T01-13-55.198_s1d_A.pfn +2458319.5603762101 -24.4892783274 0.2982929581 n3_05/HARPN.2018-07-20T01-19-20.335_s1d_A.pfn +2458319.5641841199 -24.9299397314 0.3069324768 n3_05/HARPN.2018-07-20T01-24-45.797_s1d_A.pfn +2458319.5679688700 -25.2452112239 0.2930216223 n3_05/HARPN.2018-07-20T01-30-12.807_s1d_A.pfn +2458319.5716726002 -24.7766841303 0.2956341874 n3_05/HARPN.2018-07-20T01-35-36.700_s1d_A.pfn +2458319.5755383801 -24.8896560203 0.2741517173 n3_05/HARPN.2018-07-20T01-41-03.013_s1d_A.pfn 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n3_05/HARPN.2018-07-20T02-40-43.066_s1d_A.pfn +2458319.6207355098 -24.4943093103 0.1594541677 n3_05/HARPN.2018-07-20T02-46-11.232_s1d_A.pfn +2458319.6244623899 -24.2945640596 0.1981381487 n3_05/HARPN.2018-07-20T02-51-39.751_s1d_A.pfn +2458319.6281892699 -24.4734535076 0.2033536467 n3_05/HARPN.2018-07-20T02-57-04.849_s1d_A.pfn +2458319.6321707801 -24.2815595525 0.2046925804 n3_05/HARPN.2018-07-20T03-02-30.456_s1d_A.pfn +2458319.6358397999 -24.3043785359 0.1933390745 n3_05/HARPN.2018-07-20T03-07-55.150_s1d_A.pfn +2458319.6395782498 -24.3754996606 0.1950648823 n3_05/HARPN.2018-07-20T03-13-20.646_s1d_A.pfn +2458319.6433167099 -24.6139964054 0.1807124797 n3_05/HARPN.2018-07-20T03-18-46.190_s1d_A.pfn +2458319.6471361802 -24.5874500037 0.2020538584 n3_05/HARPN.2018-07-20T03-24-10.846_s1d_A.pfn +2458319.6509209401 -24.6623772146 0.1966065799 n3_05/HARPN.2018-07-20T03-29-35.542_s1d_A.pfn +2458319.6545436499 -24.3664455840 0.1956677687 n3_05/HARPN.2018-07-20T03-34-59.834_s1d_A.pfn 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mode 100644 index 0000000000000000000000000000000000000000..3e2b0c813f721e3bf25002b57e0ae0ef1708bb7f --- /dev/null +++ b/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n4.txt @@ -0,0 +1,30 @@ +2458722.4273343198 -24.4589204708 0.1491140666 n4_05/HARPN.2019-08-26T22-05-33.521_s1d_A.pfn +2458722.4343480100 -24.6145215135 0.1426756130 n4_05/HARPN.2019-08-26T22-16-01.674_s1d_A.pfn +2458722.4418014898 -24.4502565125 0.1632412245 n4_05/HARPN.2019-08-26T22-26-30.284_s1d_A.pfn +2458722.4489887799 -24.4124450764 0.1434670602 n4_05/HARPN.2019-08-26T22-36-59.222_s1d_A.pfn +2458722.4562570900 -24.3067437071 0.1466445028 n4_05/HARPN.2019-08-26T22-47-28.171_s1d_A.pfn +2458722.4633865100 -24.3301709850 0.1349896623 n4_05/HARPN.2019-08-26T22-57-53.636_s1d_A.pfn +2458722.4707358298 -23.8281606462 0.1368878101 n4_05/HARPN.2019-08-26T23-08-22.596_s1d_A.pfn +2458722.4781198702 -23.5442965456 0.1345541103 n4_05/HARPN.2019-08-26T23-18-51.176_s1d_A.pfn +2458722.4853071598 -23.8536932722 0.1476640504 n4_05/HARPN.2019-08-26T23-29-20.447_s1d_A.pfn +2458722.4924250101 -23.8010782862 0.1694748974 n4_05/HARPN.2019-08-26T23-39-45.899_s1d_A.pfn +2458722.4997164598 -23.9394069014 0.1839311460 n4_05/HARPN.2019-08-26T23-50-14.494_s1d_A.pfn +2458722.5070657800 -24.2718987991 0.1857403618 n4_05/HARPN.2019-08-27T00-00-43.444_s1d_A.pfn +2458722.5143803800 -24.0859638996 0.1864009331 n4_05/HARPN.2019-08-27T00-11-09.404_s1d_A.pfn +2458722.5221926500 -24.4684798232 0.1784888635 n4_05/HARPN.2019-08-27T00-22-18.366_s1d_A.pfn +2458722.5293683698 -24.3353970032 0.1771464083 n4_05/HARPN.2019-08-27T00-32-43.946_s1d_A.pfn +2458722.5367176901 -24.4845255143 0.1583472502 n4_05/HARPN.2019-08-27T00-43-09.165_s1d_A.pfn +2458722.5438239598 -24.9322079586 0.1898208342 n4_05/HARPN.2019-08-27T00-53-37.687_s1d_A.pfn +2458722.5512658702 -24.5511373187 0.1852460967 n4_05/HARPN.2019-08-27T01-04-06.560_s1d_A.pfn +2458722.5584068699 -24.6506151533 0.1888718865 n4_05/HARPN.2019-08-27T01-14-33.121_s1d_A.pfn 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n4_05/HARPN.2019-08-27T03-09-34.268_s1d_A.pfn diff --git a/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n5.txt b/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n5.txt new file mode 100644 index 0000000000000000000000000000000000000000..340099e144d0bb214e39980201885bdd4b4e9662 --- /dev/null +++ b/Lectures/Guest Lecture 3 - Monica Rainer/dati/Kelt20_vrad_n5.txt @@ -0,0 +1,29 @@ +2458729.3763682502 -24.2649216169 0.1382336988 n5_05/HARPN.2019-09-02T20-52-47.830_s1d_A.pfn +2458729.3837059499 -24.4541060029 0.1594605391 n5_05/HARPN.2019-09-02T21-03-13.345_s1d_A.pfn +2458729.3908237601 -24.3622313023 0.1645643180 n5_05/HARPN.2019-09-02T21-13-42.288_s1d_A.pfn +2458729.3980572899 -24.4794527125 0.1599908662 n5_05/HARPN.2019-09-02T21-24-10.892_s1d_A.pfn +2458729.4053949998 -24.0369605664 0.1507841112 n5_05/HARPN.2019-09-02T21-34-40.204_s1d_A.pfn +2458729.4127095500 -24.0529947635 0.1534819220 n5_05/HARPN.2019-09-02T21-45-06.116_s1d_A.pfn +2458729.4196537500 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0.9991333457 543.9916 0.0018366704 + 188.00 0.9980726641 538.7312 0.0018526358 + 189.00 0.9982358872 543.9019 0.0018353234 + 190.00 0.9988340383 540.4794 0.0018480518 + 191.00 0.9984207205 544.7326 0.0018328638 + 192.00 0.9977848911 542.8925 0.0018379050 + 193.00 0.9998496196 547.0009 0.0018278757 + 194.00 0.9993553892 542.8006 0.0018411095 + 195.00 0.9991443660 548.3541 0.0018220786 + 196.00 0.9985388949 542.8139 0.0018395601 + 197.00 0.9985706197 544.6326 0.0018334756 + 198.00 0.9972571867 544.0711 0.0018329539 + 199.00 0.9982800821 547.1094 0.0018246445 diff --git a/Lectures/Guest Lecture 3 - Monica Rainer/exo_HRtimeseries.pdf b/Lectures/Guest Lecture 3 - Monica Rainer/exo_HRtimeseries.pdf new file mode 100644 index 0000000000000000000000000000000000000000..88bb7e1328c3ea1c320af60426c0645be9d6daaa Binary files /dev/null and b/Lectures/Guest Lecture 3 - Monica Rainer/exo_HRtimeseries.pdf differ diff --git a/Lectures/Guest Lecture 3 - Monica Rainer/kelt20b.ipynb b/Lectures/Guest Lecture 3 - Monica Rainer/kelt20b.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..35819242d0d42df604e8e68fbf0a0a768d69bf6e --- /dev/null +++ b/Lectures/Guest Lecture 3 - Monica Rainer/kelt20b.ipynb @@ -0,0 +1,1053 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "01ca5f85-9786-49d7-b4c2-6e86ca1bc65b", + "metadata": {}, + "source": [ + "# The atmospheric Rossiter-McLaughlin effect of KELT-20b" + ] + }, + { + "cell_type": "markdown", + "id": "bf7a08fa-6c9b-4563-b6ad-a9746a481dfa", + "metadata": {}, + "source": [ + "We are working with HARPS-N spectra of 5 transits of KELT-20b, obtained during the following nights: 2017/08/16, 2018/07/12, 2018/07/19, 2019/08/26, 2019/09/02. The two 2019 nights were observed in the framework of the GAPS programme (https://theglobalarchitectureofplanetarysystems.com/), while the others were public TNG data (2017/08/16: PID CAT17A_38 PI Rebolo; 2018/07/12, and 2018/07/19: PID CAT18A_34, PI Casasayas-Barris).\n", + "\n", + "Let's start by looking at one of the reduced spectra." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "7cf3a8fa-517a-4d41-97b9-b750a9a0545e", + "metadata": {}, + "outputs": [], + "source": [ + "from astropy.io import fits\n", + "import numpy as np\n", + "spectrum = 'dati/KELT-20b_spectrum.fits'\n", + "with fits.open(spectrum) as hdu:\n", + " flux = hdu[0].data\n", + " hea = hdu[0].header\n", + "start = hea['CRVAL1']\n", + "step = hea['CDELT1']\n", + "length = hea['NAXIS1']\n", + "wave = np.arange(length)*step + start\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "7ba4e3c4-06c5-41f8-9d12-cf538d05add5", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(wave,flux)\n", + "plt.xlabel('Wavelength (Angstroms)')\n", + "plt.ylabel('Flux (Arbitrary units)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "9a2010de-e642-4102-882e-d8d52dca7c83", + "metadata": {}, + "source": [ + "Now we zoom on one of the stellar absorption lines." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "c22d4a4b-95b2-4f67-b4ca-2701acf69021", + "metadata": {}, + "outputs": [], + "source": [ + "plt.xlim(5012,5025)\n", + "plt.ylim(17500,20500)\n", + "plt.plot(wave,flux)\n", + "plt.xlabel('Wavelength (Angstroms)')\n", + "plt.ylabel('Flux (Arbitrary units)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "431d37be-3d2d-4b36-af56-be28a7661ca2", + "metadata": {}, + "source": [ + "Creating a mean line profile using all of the useful spectral lines will increase our SNR. Considering the spectral type (A2) of our exoplanet-host stars we will exclude the Balmer lines from our mask, because they are saturated and their shape is vastly different from the other absorption lines." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "abc2feeb-60c5-4565-9d0d-878f1e34d43b", + "metadata": {}, + "outputs": [], + "source": [ + "plt.xlim(4820,4900)\n", + "plt.ylim(5000,20000)\n", + "plt.plot(wave,flux)\n", + "plt.xlabel('Wavelength (Angstroms)')\n", + "plt.ylabel('Flux (Arbitrary units)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e05910c1-2d07-40f0-b3bd-d26ebcd244be", + "metadata": {}, + "source": [ + "The online Data Reduction Software (DRS) of HARPS-N is not optimized for this kind of object (hot, fast rotating stars). Let's take a look at the CCF computed by the online pipeline with default parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "d8441046-0b8b-45ae-9f0e-173652c44fdb", + "metadata": {}, + "outputs": [], + "source": [ + "drs = 'dati/KELT-20b_CCF.txt'\n", + "rv, prf = np.loadtxt(drs, usecols=(0,1), unpack=True)\n", + "plt.plot(rv,prf)\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Normalized flux')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "263872a1-c403-4596-ac85-b5de91eb8eec", + "metadata": {}, + "source": [ + "The default CCF half-window is too small (only 20 km/s), and also the stellar mask is not suitable: the hottest stellar mask available at the time was optimized for a G2 star, while KELT-20 is an A2. We can overcome this limitation by using the DRS offline with a larger half-window and a customized stellar mask." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "fb506330-c820-4a11-a3c0-fdf4eecfe1dd", + "metadata": {}, + "outputs": [], + "source": [ + "yabi = 'dati/KELT-20b_YABI.txt'\n", + "rv, prf = np.loadtxt(yabi, usecols=(0,1), unpack=True)\n", + "plt.plot(rv,prf)\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Normalized flux')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "284ba97a-11b1-4390-ae00-395575f22e9b", + "metadata": {}, + "source": [ + "Much better, but still the DRS fails to properly normalized the spectrum. We need to compute the mean line profiles in some other way, and we choose to use the Least-Square Deconvolution (LSD) code of J.F. Donati (Donati, et al., 1997, MNRAS, 291, 658) with a theoretical stellar mask (T=10000 K, logg=4.3, solar metallicity) downloaded from the VALD3 database (http://vald.astro.uu.se/)." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "c9cec193-aa96-4a31-9e78-5298c3dba0fb", + "metadata": {}, + "outputs": [], + "source": [ + "lsd = 'dati/KELT-20b_LSD.pfn'\n", + "rv, prf = np.loadtxt(lsd, usecols=(0,1), unpack=True)\n", + "plt.plot(rv,prf)\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Normalized flux')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "31f27212-7eb8-4873-9c7b-764cca3da258", + "metadata": {}, + "source": [ + "## Line fitting\n", + "The common way to estimate the radial velocity is to fit the mean line profile with a Gaussian function.\n", + "\n", + "$$ G(x)= K - F_0 \\times e^{-\\frac{(x-x_0)^2}{2\\times\\sigma^2} } $$" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "ea6d3a3a-99f2-42ee-8098-9add7ddc2733", + "metadata": {}, + "outputs": [], + "source": [ + "def gaussian(x,x0,s,F0,K):\n", + " return K - F0*np.exp(-((x-x0)**2)/(2*(s**2)))" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "9b661501-ee6c-43af-823f-bda97dff7a2d", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.optimize import curve_fit\n", + "# Define starting parameters\n", + "massimo = np.amax(prf)\n", + "minimo = np.amin(prf)\n", + "f_0 = massimo-minimo\n", + "p_gauss = [-10,10,f_0,massimo]\n", + "# Fitting the mean line profile\n", + "popt_g,pcov_g = curve_fit(gaussian, rv, prf, p_gauss, bounds=((-np.inf,0,-np.inf,-np.inf),(np.inf,np.inf,np.inf,np.inf)))\n", + "p_sigma_g = np.sqrt(np.diag(pcov_g))\n", + "\n", + "# Display data and best fit\n", + "fig, axs = plt.subplots(2, height_ratios=[3,1])\n", + "axs[0].plot(rv,prf, label='Mean line profile')\n", + "axs[0].plot(rv,gaussian(rv, *popt_g), label='Gaussian fit')\n", + "axs[0].set_ylabel('Normalized flux')\n", + "axs[0].legend(loc='best')\n", + "axs[1].plot(rv, prf - gaussian(rv, *popt_g), label='Residuals')\n", + "axs[1].axhline(y=0, ls='--', c='k')\n", + "axs[1].legend(loc='best')\n", + "axs[1].set_ylim(-0.012,0.012)\n", + "axs[1].set_xlabel('Doppler velocity (km/s)')\n", + "axs[1].set_ylabel('Residuals')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a5d2a179-f91c-4125-9815-a4d159f4e5c5", + "metadata": {}, + "source": [ + "Our target is a fast rotating star, as such the Gaussian function is not the best function to represent the mean line profile. We can use the rotational broadening function, as define in Gray, D. F. 2008, _The Observation and Analysis of Stellar Photospheres_ (Cambridge: Cambridge University Press):\n", + "\n", + "$$ F_{rot}(x)= \\left\\{\n", + "\\begin{array}{ll}\n", + " C+A\\times\\frac{(2\\times(1-LD)\\times(\\sqrt{1-(\\frac{x-x_0}{v\\sin{i}})^2} + \\\n", + " 0.5\\times\\pi\\times LD\\times 1-(\\frac{x-x_0}{v\\sin{i}})^2}{\\pi\\times v\\sin{i}\\times(1-LD/3)} & \\text{ if } (x-x_0)^2 < v\\sin{i}^2 \\\\\n", + " C & \\text{ if } (x-x_0)^2 > v\\sin{i}^2 \\\\\n", + "\\end{array} \n", + "\\right. $$" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "ede085ca-4ed1-49aa-8c38-75fecd07d4d2", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the rotational function\n", + "def func_rot(x,c,a,x0,xl,ld=0.6):\n", + " condlist = [(x-x0)**2 < xl**2, (x-x0)**2 > xl**2]\n", + " funclist = [lambda x:c+a*( 2*(1-ld)*(np.sqrt(1-((x-x0)/(xl))**2)) + \\\n", + " 0.5*np.pi*ld*(1-((x-x0)/(xl))**2))/(np.pi*xl*(1-ld/3)), lambda x:c]\n", + " return np.piecewise(x, condlist, funclist)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "a5b852a9-dd16-44e2-b474-334ab74edb24", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the starting parameters\n", + "p_rot = [0.,f_0,-10,110,0.532]\n", + "# Fit the data\n", + "popt_r,pcov_r = curve_fit(func_rot, rv, 1-prf, p_rot)\n", + "p_sigma_r = np.sqrt(np.diag(pcov_r))\n", + "\n", + "\n", + "# Display data and best fit\n", + "fig, axs = plt.subplots(2, height_ratios=[3,1])\n", + "axs[0].plot(rv,prf, label='Mean line profile')\n", + "axs[0].plot(rv,1-func_rot(rv, *popt_r), label='Rotational fit')\n", + "axs[0].legend(loc='best')\n", + "axs[0].set_ylabel('Normalized flux')\n", + "axs[1].plot(rv, prf - (1-func_rot(rv, *popt_r)), label='Residuals')\n", + "axs[1].axhline(y=0, ls='--', c='k')\n", + "axs[1].legend(loc='best')\n", + "axs[1].set_ylim(-0.012,0.012)\n", + "axs[1].set_xlabel('Doppler velocity (km/s)')\n", + "axs[1].set_ylabel('Residuals')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "84ad790d-c22b-43c6-bfea-14b3571749fe", + "metadata": {}, + "source": [ + "Let's compare the radial velocity results from the two fitting:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "781c81d7-c8dc-4d5e-a581-9cf755fd40df", + "metadata": {}, + "outputs": [], + "source": [ + "print(f\"Gaussian fit: RV = {round(popt_g[0],3)} +/- {round(p_sigma_g[0],3)} km/s\")\n", + "print(f\"Rotational fit: RV = {round(popt_r[2],3)} +/- {round(p_sigma_r[2],3)} km/s\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "02c09185-4bb8-4982-a821-679d3177aaaf", + "metadata": {}, + "source": [ + "## Rossiter-McLaughlin effect\n", + "We already know the orbital parameters of the planet, so we can phase-fold the observations to look at the RML effect in all the 5 transits." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "70288e70-9ab3-4f9b-a83f-6ed19af6472d", + "metadata": {}, + "outputs": [], + "source": [ + "from astropy.constants import c, M_jup, M_sun, R_jup, R_sun, au, G\n", + "from astropy import units as u\n", + "from astropy import coordinates as coord\n", + "\n", + "# We will need some constants...\n", + "c_ms = c.value # m/s\n", + "Mj = M_jup.value\n", + "Msun = M_sun.value\n", + "Rj = R_jup.value # m\n", + "Rsun = R_sun.value # m\n", + "AU = au.value # m\n", + "\n", + "# Now we create a dictionary with all the information of the KELT20 star-planet system\n", + "system_info = { \\\n", + " # orbital period (days)\n", + " 'period': 3.474119 , \\\n", + " # mid-transit reference time (JD)\n", + " 't0' : 2457909.5906 , \\\n", + " # transit duration\n", + " 'T_dur' : 0.14882 , \\\n", + " # planet mass (in Jupiter masses)\n", + " 'Mp' : 3.51 , \\\n", + " # planet radius (in Jupiter radii)\n", + " 'Rp' : 1.83 , \\\n", + " # System velocity (km/s)\n", + " 'Vsys' : -25.0 , \\\n", + " # Star mass (in solar masses)\n", + " 'Ms' : 1.89 , \\\n", + " # Star radius (in solar radii)\n", + " 'Rs' : 1.60 , \\\n", + " # orbit inclination (deg)\n", + " 'i' : coord.Angle('86.2d') , \\\n", + " # eccentricity\n", + " 'e' : 0 , \\\n", + " # semi-major axis (AU)\n", + " 'ax' : 0.0542 , \\\n", + " # argument of periapsis (deg)\n", + " 'w' : coord.Angle('90d') , \\\n", + " # K star (km/s)\n", + " 'Ks' : 0.00322 , \\\n", + " # Linear limb darkening coefficient\n", + " #'eps' : 0.6 , \\\n", + " 'eps' : 0.532 , \\\n", + " # inclination of stellar rotation axis (deg)\n", + " 'istar' : coord.Angle('90d') , \\\n", + " # Star vsini (km/s)\n", + " #'vsini' : 118.0 , \\\n", + " 'vsini' : 116.2 , \\\n", + " # Sky-projected angle between stellar rotation axis and normal of orbit plane (deg)\n", + " 'l' : coord.Angle('3.4d') \\\n", + "}\n", + "\n", + "# Some other informations are created using those already known and the constants\n", + "# K planet (km/s)\n", + "system_info['Kp'] = system_info['Ks']*(system_info['Ms']*Msun)/(system_info['Mp']*Mj)\n", + "system_info['ax_rs'] = system_info['ax']*AU/(system_info['Rs']*Rsun)\n", + "system_info['omega'] = system_info['vsini']/np.sin(system_info['istar'].radian)/\\\n", + " (system_info['Rs']*(R_sun.to('km').value))\n", + "system_info['gamma'] = (system_info['Rp']*Rj)/(system_info['Rs']*Rsun)\n", + "system_info['phase_in'] = ((system_info['t0']-system_info['T_dur']/2.)-system_info['t0'])\\\n", + " /system_info['period']\n", + "system_info['phase_out'] = ((system_info['t0']+system_info['T_dur']/2.)-system_info['t0'])\\\n", + " /system_info['period']" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "e3028086-889e-485b-9675-d230be6a2b15", + "metadata": {}, + "outputs": [], + "source": [ + "rv_files = {'n1' : 'dati/Kelt20_vrad_n1.txt',\\\n", + " 'n2' : 'dati/Kelt20_vrad_n2.txt',\\\n", + " 'n3' : 'dati/Kelt20_vrad_n3.txt',\\\n", + " 'n4' : 'dati/Kelt20_vrad_n4.txt',\\\n", + " 'n5' : 'dati/Kelt20_vrad_n5.txt',}\n", + "\n", + "for rvfile in rv_files:\n", + " jds, rvs, e_rvs = np.loadtxt(rv_files[rvfile], usecols=(0,1,2), unpack=True)\n", + " phases = (jds - system_info['t0'])/system_info['period'] - np.floor((jds - system_info['t0'])/system_info['period'])\n", + " phases[phases > 0.5] = phases[phases > 0.5] -1\n", + " plt.errorbar(phases, rvs, yerr=e_rvs, label=rvfile, fmt='o')\n", + "plt.axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "plt.axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "plt.legend(loc='best')\n", + "plt.xlabel('Phase')\n", + "plt.ylabel('Doppler velocity (km/s)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "93c4ab84-ee45-41e2-9b4e-68116522dbc1", + "metadata": {}, + "source": [ + "All the transits are in accord. We can merge all the data together." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "bbb9aa3f-b781-4813-89ca-43feaa3b038d", + "metadata": {}, + "outputs": [], + "source": [ + "all_jds = []\n", + "all_phases = []\n", + "all_rvs = []\n", + "all_errs = []\n", + "all_pfns = []\n", + "\n", + "for rvfile in rv_files:\n", + " # The first three columns contain floating numbers\n", + " jds, rvs, e_rvs = np.loadtxt(rv_files[rvfile], usecols=(0,1,2,), unpack=True)\n", + " # The last column contains strings\n", + " pfns = np.loadtxt(rv_files[rvfile], usecols=(3), unpack=True, dtype='str')\n", + " phases = (jds - system_info['t0'])/system_info['period'] - np.floor((jds - system_info['t0'])/system_info['period'])\n", + " all_jds.extend(jds)\n", + " all_phases.extend(phases)\n", + " all_rvs.extend(rvs)\n", + " all_errs.extend(e_rvs)\n", + " all_pfns.extend(pfns)\n", + "all_jds = np.asarray(all_jds)\n", + "all_phases = np.asarray(all_phases)\n", + "all_rvs = np.asarray(all_rvs)\n", + "all_errs = np.asarray(all_errs)\n", + "all_pfns = np.asarray(all_pfns)\n", + "\n", + "all_phases[all_phases > 0.5] = all_phases[all_phases > 0.5] -1\n", + "idx_sort = np.argsort(all_phases)\n", + "all_jds = all_jds[idx_sort]\n", + "all_phases = all_phases[idx_sort]\n", + "all_rvs = all_rvs[idx_sort]\n", + "all_errs = all_errs[idx_sort]\n", + "all_pfns = all_pfns[idx_sort]\n", + "\n", + "plt.errorbar(all_phases,all_rvs, yerr= all_errs, fmt='o')\n", + "plt.axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "plt.axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Phase')\n", + "plt.ylabel('Doppler velocity (km/s)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b180fdf0-2815-49c1-b17b-157a6a893412", + "metadata": {}, + "source": [ + "To better exploit our data, we can resample them by binning using a constant step in phase." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "95e67aff-a411-4dfe-a9f2-9b664eab7843", + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.stats import binned_statistic\n", + "\n", + "phase_bin = 0.002\n", + "# We define here the edges of the bins that we want to use\n", + "phase_binned = np.arange(round(all_phases[0],3), round(all_phases[-1],3), phase_bin)\n", + "\n", + "# We bin our data (phases, radial velocities + errors, JD of the observations)\n", + "ph_binned, _, _ = binned_statistic(all_phases, all_phases, bins=phase_binned)\n", + "rvs_binned, bin_edges, _ = binned_statistic(all_phases, all_rvs, bins=phase_binned)\n", + "err_binned, _, _ = binned_statistic(all_phases, all_errs, bins=phase_binned)\n", + "#jd_binned, _, _ = binned_statistic(all_phases, all_jds, bins=phase_binned)\n", + "\n", + "# We could also define the binned phase as center of the phase bins \n", + "#bin_width = (bin_edges[1] - bin_edges[0])\n", + "#ph_binned = bin_edges[1:] - bin_width/2\n", + "\n", + "plt.errorbar(ph_binned, rvs_binned, yerr=err_binned, fmt='o')\n", + "plt.axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "plt.axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Phase')\n", + "plt.ylabel('Doppler velocity (km/s)')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "73d589ab-7fc9-4a69-8e0f-0e6021a8dff7", + "metadata": {}, + "source": [ + "Because KELT-20b is a very well known planet, we can create a model of the RML effect and then compare it to the data." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "2b625a54-12ae-429c-8b7a-255c4cafae61", + "metadata": {}, + "outputs": [], + "source": [ + "from PyAstronomy.modelSuite import RmcL\n", + "from PyAstronomy.modelSuite.radVel import SinRadVel\n", + "\n", + "\n", + "rml_model = RmcL()\n", + "\n", + "#RML Fit/Model parameters:\n", + "#epsilon - linear limb dark\n", + "#gamma - Rp/Rs (ratio of planetary and stellar radius)\n", + "#P - Orbital period [d]\n", + "#T0 - Central transit time\n", + "#i - Inclination of orbit [rad]\n", + "#Is - Inclination of stellar rotation axis [rad]\n", + "#Omega - Angular rotation velocity (star) [rad/s]\n", + "#lambda - Sky-projected angle between stellar rotation axis and normal of orbit plane [rad]\n", + "#a - Semi major axis [stellar radii]\n", + "# ouput: stellar-radii/second\n", + "\n", + "rml_model.assignValue({\"a\":system_info['ax_rs'], \\\n", + " \"lambda\":system_info['l'].radian, \\\n", + " \"epsilon\":system_info['eps'], \\\n", + " \"P\":system_info['period'], \\\n", + " \"T0\":system_info['t0'], \\\n", + " \"i\":system_info['i'].radian, \\\n", + " \"Is\":system_info['istar'].radian, \\\n", + " \"Omega\":system_info['omega'], \\\n", + " \"gamma\":system_info['gamma']})\n", + "\n", + "rml_solution = rml_model.evaluate(all_jds)\n", + "ph_jds = system_info['t0'] + system_info['period']*ph_binned\n", + "rml_select = rml_model.evaluate(ph_jds)\n", + "\n", + "# The solution does not take into account the system velocity, we have to introduce an offset\n", + "offset = np.mean(rvs_binned)\n", + "\n", + "# During the transit, the stellar velocity is changing due to the star-planet interaction\n", + "# We evaluate the stellar velocity at each point \n", + "star = SinRadVel()\n", + "star.assignValue({\"P\":system_info['period'] , \"T0\":system_info['t0'] , \"K\":system_info['Ks'] , \"rv0\":0.0})\n", + "rvstar = star.evaluate(all_jds)\n", + "rvstar_select = star.evaluate(ph_jds)\n", + "\n", + "\n", + "# We convert the RML model RVs from stellar-radii/second to km/s\n", + "# Then we add the offset and the stellar RVs to match our data\n", + "rvs_fit = rml_solution*system_info['Rs']*R_sun.to('km').value + offset + rvstar\n", + "rvs_fit_select = rml_select*system_info['Rs']*R_sun.to('km').value + offset + rvstar_select\n", + "\n", + "\n", + "# Display data and best fit\n", + "fig, axs = plt.subplots(2, height_ratios=[3,1])\n", + "axs[0].errorbar(ph_binned, rvs_binned, yerr=err_binned, fmt='o', label='Data')\n", + "axs[0].plot(all_phases, offset + rvstar, 'C2', label='True RVs')\n", + "axs[0].plot(all_phases,rvs_fit,'C1', label='RML Model')\n", + "axs[0].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[0].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[0].legend(loc='best')\n", + "axs[0].set_ylabel('Doppler velocity (km/s)')\n", + "\n", + "axs[1].errorbar(ph_binned, rvs_binned - rvs_fit_select, yerr=err_binned, fmt='o', label='Residuals')\n", + "axs[1].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[1].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[1].axhline(y=0, ls='--', c='k')\n", + "axs[1].legend(loc='best')\n", + "axs[1].set_xlabel('Phase')\n", + "axs[1].set_ylabel('Residuals')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "36d98154-b621-463a-b89a-e912fce92e84", + "metadata": {}, + "source": [ + "## Tomography\n", + "\n", + "There is an evident discrepancy between the model and the data: this system is very well known, how can we interpret this result?\n", + "\n", + "We known that the RML effect is an apparent RV variation due to the planet transiting on the stellar disk. Does the planet affect the stellar lines in some other way? Let's check directly the mean line profiles.\n", + "\n", + "We already read the name of the files before, now we read the data, shift them for the stellar radial velocity, interpolate them on the same RV array, bin them according to the same phase bin as the radial velocity and then we plot them in a 2D image." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "3622b8af-f27f-449f-b48b-eae10f579e32", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "from scipy import interpolate\n", + "\n", + "all_fluxes = []\n", + "\n", + "for n, pfn in enumerate(all_pfns):\n", + " pfn = os.path.join('dati',pfn)\n", + " rv_pfn, flux_pfn = np.loadtxt(pfn, usecols=(0,1), unpack=True)\n", + " rv_pfn = rv_pfn - rvstar[n]\n", + " if n == 0:\n", + " rv_array = np.arange(rv_pfn[0], rv_pfn[-1]+0.5, 0.5)\n", + " spl = interpolate.UnivariateSpline(rv_pfn,flux_pfn,k=3,s=0)\n", + " flux_pfn = spl(rv_array)\n", + " all_fluxes.append(flux_pfn)\n", + "\n", + "all_fluxes = np.asarray(all_fluxes)\n", + "#print(all_fluxes.shape)\n", + "#print(all_phases.shape)\n", + "\n", + "flux_binned, _, _ = binned_statistic(all_phases, all_fluxes.T, bins=phase_binned)\n", + "\n", + "flux_binned = flux_binned.T\n", + "\n", + "colormap = 'Spectral_r'\n", + "plt.imshow(flux_binned, cmap=colormap, origin='lower', \\\n", + " extent = [rv_array[0],rv_array[-1],min(ph_binned),max(ph_binned)], \\\n", + " aspect='auto', interpolation = \"gaussian\")\n", + "plt.axhline(y=system_info['phase_in'], ls='--', c='k')\n", + "plt.axhline(y=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Phase')\n", + "plt.colorbar()\n", + "plt.show() " + ] + }, + { + "cell_type": "markdown", + "id": "ac292ac6-8bd1-4ce3-9894-a89821cb6a8b", + "metadata": {}, + "source": [ + "To better see the planetary contribution, we have to remove the stellar one. We can use the mean line profiles outside the transit to create a master stellar profile and then remove it from all our data" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "51140923-7d0c-43dd-91c7-7ceda3bc0b12", + "metadata": {}, + "outputs": [], + "source": [ + "out_transit = flux_binned[np.logical_or\\\n", + " (ph_binned < system_info['phase_in'], ph_binned > system_info['phase_out'])]\n", + "master_out = np.nanmedian(out_transit, axis=0)\n", + "\n", + "plt.plot(rv_array,master_out)\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Normalized flux')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "b82367c2-db0d-407f-bfa8-8a8db7a91e1c", + "metadata": {}, + "outputs": [], + "source": [ + "clean_pfns = flux_binned/master_out\n", + "\n", + "plt.imshow(clean_pfns, cmap=colormap, origin='lower', \\\n", + " extent = [rv_array[0],rv_array[-1],min(ph_binned),max(ph_binned)], \\\n", + " aspect='auto', interpolation = \"gaussian\")\n", + "plt.axhline(y=system_info['phase_in'], ls='--', c='k')\n", + "plt.axhline(y=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Phase')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "afde8947-3554-44ec-a073-b4fb02813c6b", + "metadata": {}, + "source": [ + "Because the transiting planet affects the overall luminosity of the star, there are still some residuals of the stellar line during the transit. We can also clearly see the Doppler shadow and hints of some additional absorption.\n", + "\n", + "Due to our knowledge of the system, we can trace both the Doppler shadow and the planetary RVs." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "82ee5e45-68c4-4068-a5a1-ff83672cc949", + "metadata": {}, + "outputs": [], + "source": [ + "# Doppler shadow\n", + "# formulae taken from \n", + "# Cegla, H. M., et al. 2016, A&A, 588, A127\n", + "xp = system_info['ax_rs'] * np.sin(2*np.pi*ph_binned)\n", + "yp = -system_info['ax_rs'] * np.cos(2*np.pi*ph_binned) * np.cos(system_info['i'].radian)\n", + "\n", + "x = xp*np.cos(system_info['l'].radian) - yp*np.sin(system_info['l'].radian)\n", + "v = x*system_info['vsini']\n", + " \n", + "v_DS = v + system_info['Vsys']" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "afc1bc06-d644-4ca1-a1c4-31612bc710a9", + "metadata": {}, + "outputs": [], + "source": [ + "idx_in = np.nonzero(np.logical_and(system_info['phase_in'] < ph_binned, ph_binned < system_info['phase_out']))\n", + "idx_out = np.nonzero(np.logical_or(system_info['phase_in'] > ph_binned, ph_binned > system_info['phase_out']))\n", + "\n", + "plt.imshow(clean_pfns, cmap=colormap, origin='lower', \\\n", + " extent = [rv_array[0],rv_array[-1],min(ph_binned),max(ph_binned)], \\\n", + " aspect='auto', interpolation = \"gaussian\")\n", + "plt.plot(v_DS[idx_in], ph_binned[idx_in])\n", + "plt.axhline(y=system_info['phase_in'], ls='--', c='k')\n", + "plt.axhline(y=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Phase')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "6d3f89a2-53ef-468e-93ec-5c1a3a4b1286", + "metadata": {}, + "outputs": [], + "source": [ + "# Planetary RVs\n", + "\n", + "from PyAstronomy.pyasl import KeplerEllipse as ke\n", + "# class PyAstronomy.pyasl.KeplerEllipse(a, per, e=0, tau=0, Omega=0, w=0, i=0, ks=)\n", + "# a = semi-major axis --> unit length (AU)\n", + "# per = period --> unit time (day)\n", + "# eccentricity (0-1)\n", + "# tau = time of periapsis passage\n", + "# Omega = longitude of ascending node degree --> default 270\n", + "# w = argument periapsis degree --> transiting planet = 90\n", + "# i = orbit inclination degree istar - iplanet\n", + "# ks = K star\n", + "\n", + "orbit = ke(system_info['ax'], system_info['period'], system_info['e'], system_info['t0'], \\\n", + " 270, -system_info['w'].value, system_info['i'].value)\n", + "rvs_planet = orbit.xyzVel(all_jds)\n", + "rvs_planet = rvs_planet[::,2] * u.AU / u.day\n", + "vs_kms = rvs_planet.to(u.km / u.second) + system_info['Vsys'] * u.km / u.second\n", + "vs_kms = vs_kms.value\n", + "\n", + "rv_planet, _, _ = binned_statistic(all_phases, vs_kms, bins=phase_binned)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "b300c096-cc83-450b-a136-cd9b9282a167", + "metadata": {}, + "outputs": [], + "source": [ + "plt.imshow(clean_pfns, cmap=colormap, origin='lower', \\\n", + " extent = [rv_array[0],rv_array[-1],min(ph_binned),max(ph_binned)], \\\n", + " aspect='auto', interpolation = \"gaussian\")\n", + "plt.plot(v_DS[idx_in], ph_binned[idx_in])\n", + "plt.plot(rv_planet[idx_in], ph_binned[idx_in])\n", + "plt.axhline(y=system_info['phase_in'], ls='--', c='k')\n", + "plt.axhline(y=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Phase')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "917ff2c1-780f-41d3-be77-ff271a149191", + "metadata": {}, + "source": [ + "Let's try to highlight the planetary contribution by better removing the stellar residuals. We can fit independently the wings and the core of the stellar line, avoiding the part of the lines polluted by the planetary signals." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "e1107620-b6e7-4d73-b00e-8cbf05eec4f4", + "metadata": {}, + "outputs": [], + "source": [ + "# Border of the stellar line:\n", + "\n", + "out_star = np.nonzero(np.logical_or(rv_array < system_info['Vsys'] - system_info['vsini'], \\\n", + " rv_array > system_info['Vsys'] + system_info['vsini']))\n", + "in_star = np.nonzero(np.logical_and(rv_array > system_info['Vsys'] - system_info['vsini'], \\\n", + " rv_array < system_info['Vsys'] + system_info['vsini']))\n", + "\n", + "\n", + "def_pfns = clean_pfns.copy()\n", + "\n", + "for n,pfn in enumerate(def_pfns):\n", + " linfit = np.poly1d(np.polyfit(rv_array[out_star],pfn[out_star],1))\n", + " pfn[out_star] = pfn[out_star]/linfit(rv_array[out_star])\n", + " DS_pos = v_DS[n]\n", + " planet_pos = rv_planet[n]\n", + " select_rvDS = np.nonzero(np.fabs(rv_array[in_star]-DS_pos) > 20)\n", + " select_flux = pfn[in_star][select_rvDS]\n", + " select_rv = rv_array[in_star][select_rvDS]\n", + " select_rvpl = np.nonzero(np.fabs(select_rv-planet_pos) > 15)\n", + " select_flux = select_flux[select_rvpl]\n", + " select_rv = select_rv[select_rvpl]\n", + " linfit = np.poly1d(np.polyfit(select_rv,select_flux,1))\n", + " pfn[in_star] = pfn[in_star]/linfit(rv_array[in_star])\n", + "\n", + "plt.imshow(def_pfns, cmap=colormap, origin='lower', \\\n", + " extent = [rv_array[0],rv_array[-1],min(ph_binned),max(ph_binned)], \\\n", + " aspect='auto', interpolation = \"gaussian\")\n", + "plt.plot(rv_planet[idx_out], ph_binned[idx_out], '.')\n", + "plt.axhline(y=system_info['phase_in'], ls='--', c='k')\n", + "plt.axhline(y=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Doppler velocity (km/s)')\n", + "plt.ylabel('Phase')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2e487b72-2339-4f68-9c05-e4dc92bea9c9", + "metadata": {}, + "source": [ + "## Atmospheric Rossiter-McLaughlin effect\n", + "\n", + "There are two clear planetary contribution in the stellar line, and thus in the stellar apparent radial velocity: the Doppler shadow, that accounts for the classical RML effect, and the planetary atmosphere, that contributes as an additional absorption and as such would result in an inverse atmospheric RML effect.\n", + "\n", + "If we remove the modelled RML, we should recover the atmospheric one." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "49dadfb4-19bd-4533-876a-b6c46f0c621a", + "metadata": {}, + "outputs": [], + "source": [ + "# Display data and best fit\n", + "fig, axs = plt.subplots(2, height_ratios=[3,1])\n", + "axs[0].errorbar(ph_binned, rvs_binned, yerr=err_binned, fmt='o', label='Data')\n", + "axs[0].plot(all_phases, offset + rvstar, 'C2', label='True RVs')\n", + "axs[0].plot(all_phases,rvs_fit,'C1', label='RML Model')\n", + "axs[0].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[0].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[0].legend(loc='best')\n", + "axs[0].set_ylabel('Doppler velocity (km/s)')\n", + "\n", + "axs[1].errorbar(ph_binned, rvs_binned - rvs_fit_select, yerr=err_binned, fmt='o', label='Residuals')\n", + "axs[1].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[1].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[1].axhline(y=0, ls='--', c='k')\n", + "axs[1].legend(loc='best')\n", + "axs[1].set_xlabel('Phase')\n", + "axs[1].set_ylabel('Residuals')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "34c8c34b-31fe-4352-8f4a-adac47794b03", + "metadata": {}, + "outputs": [], + "source": [ + "rv_atmoRML = rvs_binned-rvs_fit_select\n", + "\n", + "plt.errorbar(ph_binned, rv_atmoRML, yerr=err_binned, fmt='o', label='Data')\n", + "plt.axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "plt.axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "plt.xlabel('Phase')\n", + "plt.ylabel('Doppler velocity (km/s)')\n", + "plt.legend(loc='best')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8ac86241-2cb5-443b-90d2-b148439e86e0", + "metadata": {}, + "source": [ + "We create now another RML model, but this time we want to fit it to the data." + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "5c44da77-1357-4e98-85d9-e0ad9205c1ae", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 34.192724\n", + " Iterations: 54\n", + " Function evaluations: 211\n" + ] + } + ], + "source": [ + "l_atmo = coord.Angle('180d')\n", + "\n", + "rml_model = RmcL()\n", + "rml_model.assignValue({\"a\":system_info['ax_rs'],\"lambda\": coord.Angle('180d').radian, \\\n", + " \"epsilon\":system_info['eps'], \"P\":system_info['period'], \\\n", + " \"T0\":system_info['t0'], \"i\":system_info['i'].radian, \\\n", + " \"Is\":system_info['istar'].radian, \"Omega\":system_info['omega'], \\\n", + " \"gamma\":system_info['gamma']/2.0})\n", + "\n", + "#RML Fit parameters:\n", + "#epsilon - linear limb darkening\n", + "#gamma - Rp/Rs (ratio of planetary and stellar radius)\n", + "#P - Orbital period [d]\n", + "#T0 - Central transit time\n", + "#i - Inclination of orbit [rad]\n", + "#Is - Inclination of stellar rotation axis [rad]\n", + "#Omega - Angular rotation velocity (star) [rad/s]\n", + "#lambda - Sky-projected angle between stellar rotation axis and normal of orbit plane [rad]\n", + "#a - Semi major axis [stellar radii]\n", + "# ouput: stellar-radii/second\n", + "\n", + "rml_model.thaw([\"gamma\",\"lambda\",\"epsilon\",\"T0\",\"Omega\"])\n", + "rml_model.fit(ph_jds, rv_atmoRML, yerr=err_binned)\n", + "solution = rml_model.evaluate(ph_jds)*system_info['Rs']*R_sun.to('km').value\n", + "\n", + "# Display data and best fit\n", + "fig, axs = plt.subplots(2, height_ratios=[3,1])\n", + "axs[0].errorbar(ph_binned, rv_atmoRML, yerr=err_binned, fmt='o', label='Data')\n", + "axs[0].plot(ph_binned, solution, '-', label='Best fit')\n", + "axs[0].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[0].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[0].legend(loc='best')\n", + "axs[0].set_ylabel('Doppler velocity (km/s)')\n", + "\n", + "axs[1].errorbar(ph_binned, rv_atmoRML - solution, yerr=err_binned, fmt='o', label='Residuals')\n", + "axs[1].axvline(x=system_info['phase_in'], ls='--', c='k')\n", + "axs[1].axvline(x=system_info['phase_out'], ls='--', c='k')\n", + "axs[1].axhline(y=0, ls='--', c='k')\n", + "axs[1].legend(loc='best')\n", + "axs[1].set_xlabel('Phase')\n", + "axs[1].set_ylabel('Residuals')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "18684e77-32df-47fe-a706-5fe8fbb55c3c", + "metadata": {}, + "outputs": [], + "source": [ + "rml_model.freeParameters()" + ] + }, + { + "cell_type": "markdown", + "id": "60e90097-a07b-48dc-9135-cacb0b892c09", + "metadata": {}, + "source": [ + "We can consider the value $\\gamma$ from the fit, which normally would be the ratio $R_p / R_\\star$, as the ratio $R_\\mathrm{atmo} / R_\\star$, and then we can compare it to the already known $R_p / R_\\star$ to recover the extension of the atmospheric envelope, considering a simple scenario of a spherical atmosphere.\n", + "\n", + "$R_p / R_\\star$ = 0.117 (system_info['gamma'])\n", + "\n", + "$R_\\mathrm{atmo} / R_\\star$ = 0.062\n" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "3fbb6fab-57c1-4d6e-89dd-d2f30b12953c", + "metadata": {}, + "outputs": [], + "source": [ + "# Total area of planet plus atmosphere\n", + "A = (np.pi*0.117**2) + (np.pi*0.062**2)\n", + "\n", + "# The resulting radius is then:\n", + "Rtot = np.sqrt(A/np.pi)\n", + "\n", + "# The atmospheric extension in planetary radii is:\n", + "R_p_atmo = Rtot/0.117\n", + "np.round(R_p_atmo,2)" + ] + }, + { + "cell_type": "markdown", + "id": "ebfb7358-bdfe-4302-81a0-357777c5df11", + "metadata": {}, + "source": [ + "Exploiting the atmospheric RML we can use the radial velocities obtained from high-resolution spectroscopy to derive an estimation of the extension of a planetary atmosphere.\n", + "\n", + "The value found agrees within the error with the atmospheric extension found in other papers considering only specific elements of the atmosphere of KELT-20b, such as FeII:\n", + "\n", + "$R_\\mathrm{p+FeII} / R_\\star = 1.11 \\pm 0.03$ (Casasayas-Barris, et al., 2019, A&A 628, A9)\n", + "\n", + "The larger radius found with the atmospheric RML depends on the presence of other elements in the stellar mask. For example, in the literature a larger radius is found considering only CaII:\n", + "\n", + "$R_\\mathrm{p+CaII} / R_\\star = 1.19 \\pm 0.03$ (Casasayas-Barris, et al., 2019, A&A 628, A9)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8e55c90d-d281-4960-b817-b71d0642a098", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Lectures/Lecture 8 - Non Parametric Analysis/NonParametricPeriodogram.ipynb b/Lectures/Lecture 8 - Non Parametric Analysis/NonParametricPeriodogram.ipynb index cde37a246a2b23921569fdb6c18e30112e7a8b31..baae082b96ab09b5bda6039feb5b28fe69a65f32 100644 --- a/Lectures/Lecture 8 - Non Parametric Analysis/NonParametricPeriodogram.ipynb +++ b/Lectures/Lecture 8 - Non Parametric Analysis/NonParametricPeriodogram.ipynb @@ -1 +1,567 @@ -{"cells":[{"cell_type":"markdown","metadata":{"id":"6nCJxaRw4rLZ"},"source":["From: https://github.com/phuijse/P4J/tree/master/examples"]},{"cell_type":"code","source":["!pip install SRPAstro\n","!pip install P4J"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ELxUAH279V8F","executionInfo":{"status":"ok","timestamp":1715326461814,"user_tz":-120,"elapsed":12945,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}},"outputId":"942de575-ae32-4a1b-cf47-f642999cafd3"},"execution_count":25,"outputs":[{"output_type":"stream","name":"stdout","text":["Requirement already satisfied: SRPAstro in /usr/local/lib/python3.10/dist-packages (4.9.0)\n","Requirement already satisfied: AstroAtmosphere 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(1.1)\n","Requirement already satisfied: keyring>=15.0 in /usr/lib/python3/dist-packages (from astroquery->SRPAstro) (23.5.0)\n","Requirement already satisfied: pyvo>=1.1 in /usr/local/lib/python3.10/dist-packages (from astroquery->SRPAstro) (1.5.1)\n","Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (3.3.2)\n","Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (3.7)\n","Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (2.0.7)\n","Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (2024.2.2)\n","Requirement already satisfied: soupsieve>1.2 in /usr/local/lib/python3.10/dist-packages (from beautifulsoup4>=4.8->astroquery->SRPAstro) (2.5)\n","Requirement already satisfied: six>=1.9 in /usr/local/lib/python3.10/dist-packages (from html5lib>=0.999->astroquery->SRPAstro) (1.16.0)\n","Requirement already satisfied: webencodings in /usr/local/lib/python3.10/dist-packages (from html5lib>=0.999->astroquery->SRPAstro) (0.5.1)\n","Collecting P4J\n"," Using cached P4J-0.27.tar.gz (510 kB)\n"," \u001b[1;31merror\u001b[0m: \u001b[1msubprocess-exited-with-error\u001b[0m\n"," \n"," \u001b[31m×\u001b[0m \u001b[32mpython setup.py egg_info\u001b[0m did not run successfully.\n"," \u001b[31m│\u001b[0m exit code: \u001b[1;36m1\u001b[0m\n"," \u001b[31m╰─>\u001b[0m See above for output.\n"," \n"," \u001b[1;35mnote\u001b[0m: This error originates from a subprocess, and is likely not a problem with pip.\n"," Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25herror\n","\u001b[1;31merror\u001b[0m: \u001b[1mmetadata-generation-failed\u001b[0m\n","\n","\u001b[31m×\u001b[0m Encountered error while generating package metadata.\n","\u001b[31m╰─>\u001b[0m See above for output.\n","\n","\u001b[1;35mnote\u001b[0m: This is an issue with the package mentioned above, not pip.\n","\u001b[1;36mhint\u001b[0m: See above for details.\n"]}]},{"cell_type":"markdown","metadata":{"id":"ogBXmpC94OFg"},"source":["# P4J Periodogram demo\n","\n","A simple demonstration of P4J's information theoretic periodogram"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"QWCFc1YV4OFj","outputId":"fd9bf9db-8459-4c54-b48e-6840e698cdfc","colab":{"base_uri":"https://localhost:8080/","height":411},"executionInfo":{"status":"error","timestamp":1715246386945,"user_tz":-120,"elapsed":498,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}}},"outputs":[{"output_type":"error","ename":"ModuleNotFoundError","evalue":"No module named 'P4J'","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)","\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mastropy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimeseries\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mLombScargle\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mSRP\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSRPPlot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSetPlotPars\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mSetPlotPars\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mP4J\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"P4J version:\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mP4J\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__version__\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n","\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'P4J'","","\u001b[0;31m---------------------------------------------------------------------------\u001b[0;32m\nNOTE: If your import is failing due to a missing package, you can\nmanually install dependencies using either !pip or !apt.\n\nTo view examples of installing some common dependencies, click the\n\"Open Examples\" button below.\n\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n"],"errorDetails":{"actions":[{"action":"open_url","actionText":"Open Examples","url":"/notebooks/snippets/importing_libraries.ipynb"}]}}],"source":["import numpy as np\n","%matplotlib inline\n","import matplotlib.pylab as plt\n","from astropy.timeseries import LombScargle\n","from SRP.SRPPlot.SetPlotPars import SetPlotPars\n","import P4J\n","print(\"P4J version:\")\n","print(P4J.__version__)"]},{"cell_type":"markdown","metadata":{"id":"bqMxBI1b4OFl"},"source":["## Generating a simple synthetic light curve\n","We create an irregulary sampled time series using a harmonic model composed of three sine waves with an specified Signal to Noise Ratio SNR"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"paN3RW6r4OFl","outputId":"fce2ff54-0ea4-40e9-f2b4-6161638b305a","colab":{"base_uri":"https://localhost:8080/","height":316},"executionInfo":{"status":"ok","timestamp":1682675653175,"user_tz":-120,"elapsed":1220,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["fundamental_freq = 2.0\n","lc_generator = P4J.synthetic_light_curve_generator(T=100.0, N=30)\n","lc_generator.set_model(f0=fundamental_freq, A=[1.0, 0.5, 0.25])\n","mjd, mag, err = lc_generator.draw_noisy_time_series(SNR=5.0, red_noise_ratio=0.25, outlier_ratio=0.0)\n","c_mjd, c_mag = lc_generator.get_clean_signal()\n","\n","fig = plt.figure(figsize=(12, 4))\n","ax = fig.add_subplot(1, 2, 1)\n","ax.errorbar(mjd, mag, err, fmt='.')\n","ax.set_xlabel('Time [d]')\n","ax.set_title('Time series')\n","plt.grid()\n","ax = fig.add_subplot(1, 2, 2)\n","phase = np.mod(mjd, 1.0/fundamental_freq)*fundamental_freq\n","index = np.argsort(phase)\n","ax.errorbar(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n"," np.concatenate([mag[index], mag[index]]),\n"," np.concatenate([err[index], err[index]]), fmt='.', alpha=1.0, label='Noisy data')\n","ax.plot(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n"," np.concatenate([c_mag[index], c_mag[index]]),\n"," linewidth=8, alpha=0.5, label='Underlying model')\n","plt.legend()\n","ax.set_xlabel('Phase')\n","ax.set_title('Folded time series')\n","plt.grid()\n","plt.tight_layout();"]},{"cell_type":"markdown","metadata":{"id":"yVAIvAk19T_L"},"source":["## Finding the best frequency/period using a Lomb-Scargle algorithm"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":589},"id":"iQ1pPYcu9T_M","executionInfo":{"status":"ok","timestamp":1682675763138,"user_tz":-120,"elapsed":1051,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}},"outputId":"9fb22571-745b-4e97-c66a-feeea5e8d08d"},"outputs":[{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{}}],"source":["frequencyLS = np.linspace(0.1,5.,int(round(10000/5.)))\n","powerLS = LombScargle(mjd, mag, err).power(frequencyLS,normalization='standard')\n","best_frequency = frequencyLS[np.argmax(powerLS)]\n","#\n","p = plt.figure(figsize=(8,6))\n","px = p.add_subplot(111)\n","SetPlotPars(px,\"Frequency\",'Power')\n","plt.plot(frequencyLS,powerLS)\n","plt.plot([best_frequency, best_frequency], [0, 1], linewidth=8, alpha=0.2, color='orange');\n"]},{"cell_type":"markdown","metadata":{"id":"ap27b9Cn4OFm"},"source":["## Finding the best frequency/period using P4J\n","\n","Now let's assumme that we do not know the best frequency for this time series. To find it, we sweep over a linear array of frequencies and find the ones that optimize the selected criterion. In this case we recover the 10 local optima of the quadratic mutual information periodogram. "]},{"cell_type":"code","execution_count":null,"metadata":{"id":"fwmES2D44OFn","outputId":"cc07373f-fdcd-4231-fa3a-d671b76f3be4","scrolled":true,"colab":{"base_uri":"https://localhost:8080/","height":316},"executionInfo":{"status":"ok","timestamp":1682676535292,"user_tz":-120,"elapsed":1617,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["#my_per = P4J.periodogram(method='LKSL') # Lafler-Kinman's string length\n","#my_per = P4J.periodogram(method='PDM1') # Phase Dispersion Minimization\n","#my_per = P4J.periodogram(method='MHAOV') # Multi-harmonic Analysis of Variance\n","#my_per = P4J.periodogram(method='QME') # Quadratical mutual entropy or total correlation\n","#my_per = P4J.periodogram(method='QMICS') # Quadratic mutual information (QMI) based on Cauchy Schwarz distance\n","my_per = P4J.periodogram(method='QMIEU') # QMI based on Euclidean distance\n","\n","my_per.set_data(mjd, mag, err)\n","my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n","my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n","freq, per = my_per.get_periodogram()\n","fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n","\n","fig = plt.figure(figsize=(12, 4))\n","ax = fig.add_subplot(1, 2, 1)\n","ax.plot(freq, per)\n","ymin, ymax = ax.get_ylim()\n","ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n","ax.set_ylim([ymin, ymax])\n","ax.set_xlabel('Frequency [1/MJD]')\n","ax.set_ylabel('QMI Periodogram')\n","plt.title('Periodogram')\n","plt.grid()\n","\n","ax = fig.add_subplot(1, 2, 2)\n","phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n","idx = np.argsort(phase)\n","ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n"," np.concatenate([mag[idx], mag[idx]]),\n"," np.concatenate([err[idx], err[idx]]), fmt='.')\n","plt.title('Best period')\n","ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n","ax.set_ylabel('Magnitude')\n","plt.grid()\n","plt.tight_layout();"]},{"cell_type":"markdown","metadata":{"collapsed":true,"id":"4fCJCBhX4OFo"},"source":["## Significance of the detected period\n","\n","For a periodic time series with an oscillation frequency $f$, its periodogram will exhibit a peak at $f$ with high probability. But the inverse is not necessarily true, a peak in the periodogram does not imply that the time series is periodic. Spurious peaks may be produced by measurement errors, random fluctuations, aliasing or noise.\n","\n","We can test if the candidate frequencies (periodogram peaks) are statistically significant using bootstrap. This gives a principled way to test wheter the light curve is periodic or not. The core idea is to obtain the distribution of the maximum values of the periodogram on a set of surrogate light curves obtained by random-resampling. The general procedure is\n","\n","For the null hypothesis that the light curve is not periodic\n","1. Generate surrogate light curves that comply with the null hypothesis\n","2. Compute the periodogram for each surrogate and save the maxima\n","3. Fit a extreme value probability density function (PDF) to the surrogate's maxima\n","4. For a given significance level (p-value) $\\alpha$* obtain the associated confidence level from the fitted PDF \n","5. If the candidate frequency has a periodogram value greater than the confidence level then you can reject the null hypothesis (for the selected $\\alpha$)\n","\n","*$\\alpha$: Probability of rejecting the null hypothesis when it is actually true"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"DYePMlJi4OFp"},"outputs":[],"source":["# TODO: Create bootstrap class with iid bootstrap, moving block bootstrap, write proper documentation and debug this!\n","def block_bootstrap(mjd, mag, err, block_length=10.0, rseed=None):\n"," np.random.seed(rseed)\n"," N = len(mjd)\n"," mjd_boot = np.zeros(shape=(N, ))\n"," mag_boot = np.zeros(shape=(N, ))\n"," err_boot = np.zeros(shape=(N, ))\n"," k = 0\n"," last_time = 0.0\n"," for max_idx in range(2, N):\n"," if mjd[-1] - mjd[-max_idx] > block_length:\n"," break\n"," while k < N:\n"," idx_start = np.random.randint(N-max_idx-1)\n"," for idx_end in range(idx_start+1, N):\n"," if mjd[idx_end] - mjd[idx_start] > block_length or k + idx_end - idx_start >= N-1:\n"," break\n"," #print(\"%d %d %d %d\" %(idx_start, idx_end, k, k + idx_end - idx_start))\n"," mjd_boot[k:k+idx_end-idx_start] = mjd[idx_start:idx_end] - mjd[idx_start] + last_time\n"," mag_boot[k:k+idx_end-idx_start] = mag[idx_start:idx_end]\n"," err_boot[k:k+idx_end-idx_start] = err[idx_start:idx_end]\n"," last_time = mjd[idx_end] - mjd[idx_start] + last_time\n"," k += idx_end - idx_start\n"," return mjd_boot, mag_boot, err_boot"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"J_TGn-vz4OFq"},"outputs":[],"source":["# We will use 200 surrogates and save 20 local maxima per light curve\n","pbest_bootstrap = np.zeros(shape=(200, 20))\n","for i in range(pbest_bootstrap.shape[0]):\n"," # P = np.random.permutation(len(mjd))\n"," # my_per.set_data(mjd, mag[P], err[P]) # IID bootstrap\n"," mjd_b, mag_b, err_b = block_bootstrap(mjd, mag, err, block_length=0.9973)\n"," my_per.set_data(mjd_b, mag_b, err_b)\n"," my_per.frequency_grid_evaluation(fmin=0.0, fmax=4.0, fresolution=1e-3)\n"," my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=pbest_bootstrap.shape[1])\n"," _, pbest_bootstrap[i, :] = my_per.get_best_frequencies()"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"85iIg6D74OFq","outputId":"f9f19cdb-b462-4340-b1a7-c56b8ce5cb1a","colab":{"base_uri":"https://localhost:8080/","height":316},"executionInfo":{"status":"ok","timestamp":1682676552261,"user_tz":-120,"elapsed":1303,"user":{"displayName":"Stefano Covino","userId":"15959824765269815362"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["#from scipy.stats import gumbel_r # Gumbel right (for maxima), its has 2 parameters\n","from scipy.stats import genextreme # Generalized extreme value distribution, it has 3 parameters\n","\n","param = genextreme.fit(pbest_bootstrap.ravel())\n","rv = genextreme(c=param[0], loc=param[1], scale=param[2])\n","x = np.linspace(rv.ppf(0.001), rv.ppf(0.999), 100)\n","fig = plt.figure(figsize=(14, 4))\n","ax = fig.add_subplot(1, 2, 1)\n","_ = ax.hist(pbest_bootstrap.ravel(), bins=20, density=True, alpha=0.2, label='Peak\\'s histogram')\n","ax.plot(x, rv.pdf(x), 'r-', lw=5, alpha=0.6, label='Fitted Gumbel PDF')\n","ymin, ymax = ax.get_ylim()\n","ax.plot([pbest[0], pbest[0]], [ymin, ymax], '-', linewidth=4, alpha=0.5, label=\"Max per value\")\n","for p_val in [1e-2, 1e-1]:\n"," ax.plot([rv.ppf(1.-p_val), rv.ppf(1.-p_val)], [ymin, ymax], '--', linewidth=4, alpha=0.5, label=str(p_val))\n","ax.set_ylim([ymin, ymax])\n","plt.xlabel('Periodogram value'); plt.legend()\n","\n","ax = fig.add_subplot(1, 2, 2)\n","ax.plot(freq, per)\n","ymin, ymax = ax.get_ylim()\n","ax.plot([fbest[0], fbest[0]], [ymin, ymax], '-', linewidth=8, alpha=0.2)\n","# Print confidence bars\n","xmin, xmax = ax.get_xlim()\n","for p_val in [1e-2, 1e-1]:\n"," ax.plot([xmin, xmax], [rv.ppf(1.-p_val), rv.ppf(1.-p_val)], '--', linewidth=4, alpha=0.5, label=str(p_val))\n","ax.set_xlim([xmin, xmax]); ax.set_ylim([ymin, ymax])\n","ax.set_xlabel('Frequency [1/d]'); ax.set_ylabel('Periodogram')\n","plt.grid(); plt.legend();"]},{"cell_type":"markdown","metadata":{"id":"vYNPhyNy4OFr"},"source":["### Notes and references\n","\n","In this example we used the the generalized extreme value (GEV) distribution to fit the periodogram peaks. The number of surrogates and amount of local maxima per surrogate should be set so that the fit looks good.\n","\n","In IID bootstrap the data points are randomly sampled with replacement. The IID bootstrap destroys not only the periodicity but also any time correlation or structure in the time series. This results in underestimation of the confidence bars. For data with serial correlations it is better to use moving block (MB) bootstrap. In MB bootstrap blocks of data of a given length are patched together to create a new time series. The block length is a parameter. Because light curves are irregularly sampled we set a block length in days rather than number of points. The ideal is to set the length so that it destroys the periodicity and preserves most of the serial correlation\n","\n","I recommend the following if you want to delve deeper on bootstrap and extreme-value distributions applied for astronomy\n","- M. Süveges, \"False Alarm Probability based on bootstrap and extreme-value methods for periodogram peaks.\", *ADA7-Seventh Conference on Astronomical Data Analysis*, v. 1, 2012. http://ada7.cosmostat.org/ADA7_proceeding_MSuveges2.pdf\n","\n","And this one for bootstrap applied to time series in general\n","- P. Bühlmann, \"Bootstraps for time series.\", *Statistical Science*, 52-72, 2002"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"XEAJc_qt4OFr"},"outputs":[],"source":[]}],"metadata":{"colab":{"provenance":[]},"kernelspec":{"display_name":"Python 3","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.9.1"}},"nbformat":4,"nbformat_minor":0} \ No newline at end of file +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "6nCJxaRw4rLZ" + }, + "source": [ + "From: https://github.com/phuijse/P4J/tree/master/examples" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "executionInfo": { + "elapsed": 12945, + "status": "ok", + "timestamp": 1715326461814, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "ELxUAH279V8F", + "outputId": "942de575-ae32-4a1b-cf47-f642999cafd3" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: SRPAstro in /usr/local/lib/python3.10/dist-packages (4.9.0)\n", + "Requirement already satisfied: AstroAtmosphere in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (1.6)\n", + "Requirement already satisfied: mysql-connector-python in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (8.4.0)\n", + "Requirement already satisfied: py-postgresql in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (1.3.0)\n", + "Requirement already satisfied: requests in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (2.31.0)\n", + "Requirement already satisfied: astroquery in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (0.4.7)\n", + "Requirement already satisfied: astropy>=0.4 in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (5.3.4)\n", + "Requirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (1.11.4)\n", + "Requirement already satisfied: astlib>=0.4 in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (0.11.10)\n", + "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (3.7.1)\n", + "Requirement already satisfied: atpy in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (0.9.7)\n", + "Requirement already satisfied: ephem in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (4.1.5)\n", + "Requirement already satisfied: numpy>=1.1 in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (1.25.2)\n", + "Requirement already satisfied: dust-extinction in /usr/local/lib/python3.10/dist-packages (from SRPAstro) (1.4)\n", + "Requirement already satisfied: pyerfa>=2.0 in /usr/local/lib/python3.10/dist-packages (from astropy>=0.4->SRPAstro) (2.0.1.4)\n", + "Requirement already satisfied: PyYAML>=3.13 in /usr/local/lib/python3.10/dist-packages (from astropy>=0.4->SRPAstro) (6.0.1)\n", + "Requirement already satisfied: packaging>=19.0 in /usr/local/lib/python3.10/dist-packages (from astropy>=0.4->SRPAstro) (24.0)\n", + "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (1.2.1)\n", + "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (0.12.1)\n", + "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (4.51.0)\n", + "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (1.4.5)\n", + "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (9.4.0)\n", + "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (3.1.2)\n", + "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib->SRPAstro) (2.8.2)\n", + "Requirement already satisfied: beautifulsoup4>=4.8 in /usr/local/lib/python3.10/dist-packages (from astroquery->SRPAstro) (4.12.3)\n", + "Requirement already satisfied: html5lib>=0.999 in /usr/local/lib/python3.10/dist-packages (from astroquery->SRPAstro) (1.1)\n", + "Requirement already satisfied: keyring>=15.0 in /usr/lib/python3/dist-packages (from astroquery->SRPAstro) (23.5.0)\n", + "Requirement already satisfied: pyvo>=1.1 in /usr/local/lib/python3.10/dist-packages (from astroquery->SRPAstro) (1.5.1)\n", + "Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (3.3.2)\n", + "Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (3.7)\n", + "Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (2.0.7)\n", + "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests->SRPAstro) (2024.2.2)\n", + "Requirement already satisfied: soupsieve>1.2 in /usr/local/lib/python3.10/dist-packages (from beautifulsoup4>=4.8->astroquery->SRPAstro) (2.5)\n", + "Requirement already satisfied: six>=1.9 in /usr/local/lib/python3.10/dist-packages (from html5lib>=0.999->astroquery->SRPAstro) (1.16.0)\n", + "Requirement already satisfied: webencodings in /usr/local/lib/python3.10/dist-packages (from html5lib>=0.999->astroquery->SRPAstro) (0.5.1)\n", + "Collecting P4J\n", + " Using cached P4J-0.27.tar.gz (510 kB)\n", + " \u001b[1;31merror\u001b[0m: \u001b[1msubprocess-exited-with-error\u001b[0m\n", + " \n", + " \u001b[31m×\u001b[0m \u001b[32mpython setup.py egg_info\u001b[0m did not run successfully.\n", + " \u001b[31m│\u001b[0m exit code: \u001b[1;36m1\u001b[0m\n", + " \u001b[31m╰─>\u001b[0m See above for output.\n", + " \n", + " \u001b[1;35mnote\u001b[0m: This error originates from a subprocess, and is likely not a problem with pip.\n", + " Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25herror\n", + "\u001b[1;31merror\u001b[0m: \u001b[1mmetadata-generation-failed\u001b[0m\n", + "\n", + "\u001b[31m×\u001b[0m Encountered error while generating package metadata.\n", + "\u001b[31m╰─>\u001b[0m See above for output.\n", + "\n", + "\u001b[1;35mnote\u001b[0m: This is an issue with the package mentioned above, not pip.\n", + "\u001b[1;36mhint\u001b[0m: See above for details.\n" + ] + } + ], + "source": [ + "!pip install SRPAstro\n", + "!pip install P4J" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ogBXmpC94OFg" + }, + "source": [ + "# P4J Periodogram demo\n", + "\n", + "A simple demonstration of P4J's information theoretic periodogram" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 411 + }, + "executionInfo": { + "elapsed": 498, + "status": "error", + "timestamp": 1715246386945, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "QWCFc1YV4OFj", + "outputId": "fd9bf9db-8459-4c54-b48e-6840e698cdfc" + }, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "errorDetails": { + "actions": [ + { + "action": "open_url", + "actionText": "Open Examples", + "url": "/notebooks/snippets/importing_libraries.ipynb" + } + ] + }, + "evalue": "No module named 'P4J'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mastropy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimeseries\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mLombScargle\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mSRP\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSRPPlot\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSetPlotPars\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mSetPlotPars\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mP4J\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"P4J version:\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mP4J\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__version__\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'P4J'", + "", + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0;32m\nNOTE: If your import is failing due to a missing package, you can\nmanually install dependencies using either !pip or !apt.\n\nTo view examples of installing some common dependencies, click the\n\"Open Examples\" button below.\n\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "%matplotlib inline\n", + "import matplotlib.pylab as plt\n", + "from astropy.timeseries import LombScargle\n", + "from SRP.SRPPlot.SetPlotPars import SetPlotPars\n", + "import P4J\n", + "print(\"P4J version:\")\n", + "print(P4J.__version__)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "bqMxBI1b4OFl" + }, + "source": [ + "## Generating a simple synthetic light curve\n", + "We create an irregulary sampled time series using a harmonic model composed of three sine waves with an specified Signal to Noise Ratio SNR" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 316 + }, + "executionInfo": { + "elapsed": 1220, + "status": "ok", + "timestamp": 1682675653175, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "paN3RW6r4OFl", + "outputId": "fce2ff54-0ea4-40e9-f2b4-6161638b305a" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fundamental_freq = 2.0\n", + "lc_generator = P4J.synthetic_light_curve_generator(T=100.0, N=30)\n", + "lc_generator.set_model(f0=fundamental_freq, A=[1.0, 0.5, 0.25])\n", + "mjd, mag, err = lc_generator.draw_noisy_time_series(SNR=5.0, red_noise_ratio=0.25, outlier_ratio=0.0)\n", + "c_mjd, c_mag = lc_generator.get_clean_signal()\n", + "\n", + "fig = plt.figure(figsize=(12, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.errorbar(mjd, mag, err, fmt='.')\n", + "ax.set_xlabel('Time [d]')\n", + "ax.set_title('Time series')\n", + "plt.grid()\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "phase = np.mod(mjd, 1.0/fundamental_freq)*fundamental_freq\n", + "index = np.argsort(phase)\n", + "ax.errorbar(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n", + " np.concatenate([mag[index], mag[index]]),\n", + " np.concatenate([err[index], err[index]]), fmt='.', alpha=1.0, label='Noisy data')\n", + "ax.plot(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n", + " np.concatenate([c_mag[index], c_mag[index]]),\n", + " linewidth=8, alpha=0.5, label='Underlying model')\n", + "plt.legend()\n", + "ax.set_xlabel('Phase')\n", + "ax.set_title('Folded time series')\n", + "plt.grid()\n", + "plt.tight_layout();" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "yVAIvAk19T_L" + }, + "source": [ + "## Finding the best frequency/period using a Lomb-Scargle algorithm" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 589 + }, + "executionInfo": { + "elapsed": 1051, + "status": "ok", + "timestamp": 1682675763138, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "iQ1pPYcu9T_M", + "outputId": "9fb22571-745b-4e97-c66a-feeea5e8d08d" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frequencyLS = np.linspace(0.1,5.,int(round(10000/5.)))\n", + "powerLS = LombScargle(mjd, mag, err).power(frequencyLS,normalization='standard')\n", + "best_frequency = frequencyLS[np.argmax(powerLS)]\n", + "#\n", + "p = plt.figure(figsize=(8,6))\n", + "px = p.add_subplot(111)\n", + "SetPlotPars(px,\"Frequency\",'Power')\n", + "plt.plot(frequencyLS,powerLS)\n", + "plt.plot([best_frequency, best_frequency], [0, 1], linewidth=8, alpha=0.2, color='orange');\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ap27b9Cn4OFm" + }, + "source": [ + "## Finding the best frequency/period using P4J\n", + "\n", + "Now let's assumme that we do not know the best frequency for this time series. To find it, we sweep over a linear array of frequencies and find the ones that optimize the selected criterion. In this case we recover the 10 local optima of the quadratic mutual information periodogram. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 316 + }, + "executionInfo": { + "elapsed": 1617, + "status": "ok", + "timestamp": 1682676535292, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "fwmES2D44OFn", + "outputId": "cc07373f-fdcd-4231-fa3a-d671b76f3be4", + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#my_per = P4J.periodogram(method='LKSL') # Lafler-Kinman's string length\n", + "#my_per = P4J.periodogram(method='PDM1') # Phase Dispersion Minimization\n", + "#my_per = P4J.periodogram(method='MHAOV') # Multi-harmonic Analysis of Variance\n", + "#my_per = P4J.periodogram(method='QME') # Quadratical mutual entropy or total correlation\n", + "#my_per = P4J.periodogram(method='QMICS') # Quadratic mutual information (QMI) based on Cauchy Schwarz distance\n", + "my_per = P4J.periodogram(method='QMIEU') # QMI based on Euclidean distance\n", + "\n", + "my_per.set_data(mjd, mag, err)\n", + "my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n", + "my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n", + "freq, per = my_per.get_periodogram()\n", + "fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n", + "\n", + "fig = plt.figure(figsize=(12, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.plot(freq, per)\n", + "ymin, ymax = ax.get_ylim()\n", + "ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n", + "ax.set_ylim([ymin, ymax])\n", + "ax.set_xlabel('Frequency [1/MJD]')\n", + "ax.set_ylabel('QMI Periodogram')\n", + "plt.title('Periodogram')\n", + "plt.grid()\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n", + "idx = np.argsort(phase)\n", + "ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n", + " np.concatenate([mag[idx], mag[idx]]),\n", + " np.concatenate([err[idx], err[idx]]), fmt='.')\n", + "plt.title('Best period')\n", + "ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n", + "ax.set_ylabel('Magnitude')\n", + "plt.grid()\n", + "plt.tight_layout();" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "id": "4fCJCBhX4OFo" + }, + "source": [ + "## Significance of the detected period\n", + "\n", + "For a periodic time series with an oscillation frequency $f$, its periodogram will exhibit a peak at $f$ with high probability. But the inverse is not necessarily true, a peak in the periodogram does not imply that the time series is periodic. Spurious peaks may be produced by measurement errors, random fluctuations, aliasing or noise.\n", + "\n", + "We can test if the candidate frequencies (periodogram peaks) are statistically significant using bootstrap. This gives a principled way to test wheter the light curve is periodic or not. The core idea is to obtain the distribution of the maximum values of the periodogram on a set of surrogate light curves obtained by random-resampling. The general procedure is\n", + "\n", + "For the null hypothesis that the light curve is not periodic\n", + "1. Generate surrogate light curves that comply with the null hypothesis\n", + "2. Compute the periodogram for each surrogate and save the maxima\n", + "3. Fit a extreme value probability density function (PDF) to the surrogate's maxima\n", + "4. For a given significance level (p-value) $\\alpha$* obtain the associated confidence level from the fitted PDF \n", + "5. If the candidate frequency has a periodogram value greater than the confidence level then you can reject the null hypothesis (for the selected $\\alpha$)\n", + "\n", + "*$\\alpha$: Probability of rejecting the null hypothesis when it is actually true" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "DYePMlJi4OFp" + }, + "outputs": [], + "source": [ + "# TODO: Create bootstrap class with iid bootstrap, moving block bootstrap, write proper documentation and debug this!\n", + "def block_bootstrap(mjd, mag, err, block_length=10.0, rseed=None):\n", + " np.random.seed(rseed)\n", + " N = len(mjd)\n", + " mjd_boot = np.zeros(shape=(N, ))\n", + " mag_boot = np.zeros(shape=(N, ))\n", + " err_boot = np.zeros(shape=(N, ))\n", + " k = 0\n", + " last_time = 0.0\n", + " for max_idx in range(2, N):\n", + " if mjd[-1] - mjd[-max_idx] > block_length:\n", + " break\n", + " while k < N:\n", + " idx_start = np.random.randint(N-max_idx-1)\n", + " for idx_end in range(idx_start+1, N):\n", + " if mjd[idx_end] - mjd[idx_start] > block_length or k + idx_end - idx_start >= N-1:\n", + " break\n", + " #print(\"%d %d %d %d\" %(idx_start, idx_end, k, k + idx_end - idx_start))\n", + " mjd_boot[k:k+idx_end-idx_start] = mjd[idx_start:idx_end] - mjd[idx_start] + last_time\n", + " mag_boot[k:k+idx_end-idx_start] = mag[idx_start:idx_end]\n", + " err_boot[k:k+idx_end-idx_start] = err[idx_start:idx_end]\n", + " last_time = mjd[idx_end] - mjd[idx_start] + last_time\n", + " k += idx_end - idx_start\n", + " return mjd_boot, mag_boot, err_boot" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "J_TGn-vz4OFq" + }, + "outputs": [], + "source": [ + "# We will use 200 surrogates and save 20 local maxima per light curve\n", + "pbest_bootstrap = np.zeros(shape=(200, 20))\n", + "for i in range(pbest_bootstrap.shape[0]):\n", + " # P = np.random.permutation(len(mjd))\n", + " # my_per.set_data(mjd, mag[P], err[P]) # IID bootstrap\n", + " mjd_b, mag_b, err_b = block_bootstrap(mjd, mag, err, block_length=0.9973)\n", + " my_per.set_data(mjd_b, mag_b, err_b)\n", + " my_per.frequency_grid_evaluation(fmin=0.0, fmax=4.0, fresolution=1e-3)\n", + " my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=pbest_bootstrap.shape[1])\n", + " _, pbest_bootstrap[i, :] = my_per.get_best_frequencies()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 316 + }, + "executionInfo": { + "elapsed": 1303, + "status": "ok", + "timestamp": 1682676552261, + "user": { + "displayName": "Stefano Covino", + "userId": "15959824765269815362" + }, + "user_tz": -120 + }, + "id": "85iIg6D74OFq", + "outputId": "f9f19cdb-b462-4340-b1a7-c56b8ce5cb1a" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#from scipy.stats import gumbel_r # Gumbel right (for maxima), its has 2 parameters\n", + "from scipy.stats import genextreme # Generalized extreme value distribution, it has 3 parameters\n", + "\n", + "param = genextreme.fit(pbest_bootstrap.ravel())\n", + "rv = genextreme(c=param[0], loc=param[1], scale=param[2])\n", + "x = np.linspace(rv.ppf(0.001), rv.ppf(0.999), 100)\n", + "fig = plt.figure(figsize=(14, 4))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "_ = ax.hist(pbest_bootstrap.ravel(), bins=20, density=True, alpha=0.2, label='Peak\\'s histogram')\n", + "ax.plot(x, rv.pdf(x), 'r-', lw=5, alpha=0.6, label='Fitted Gumbel PDF')\n", + "ymin, ymax = ax.get_ylim()\n", + "ax.plot([pbest[0], pbest[0]], [ymin, ymax], '-', linewidth=4, alpha=0.5, label=\"Max per value\")\n", + "for p_val in [1e-2, 1e-1]:\n", + " ax.plot([rv.ppf(1.-p_val), rv.ppf(1.-p_val)], [ymin, ymax], '--', linewidth=4, alpha=0.5, label=str(p_val))\n", + "ax.set_ylim([ymin, ymax])\n", + "plt.xlabel('Periodogram value'); plt.legend()\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.plot(freq, per)\n", + "ymin, ymax = ax.get_ylim()\n", + "ax.plot([fbest[0], fbest[0]], [ymin, ymax], '-', linewidth=8, alpha=0.2)\n", + "# Print confidence bars\n", + "xmin, xmax = ax.get_xlim()\n", + "for p_val in [1e-2, 1e-1]:\n", + " ax.plot([xmin, xmax], [rv.ppf(1.-p_val), rv.ppf(1.-p_val)], '--', linewidth=4, alpha=0.5, label=str(p_val))\n", + "ax.set_xlim([xmin, xmax]); ax.set_ylim([ymin, ymax])\n", + "ax.set_xlabel('Frequency [1/d]'); ax.set_ylabel('Periodogram')\n", + "plt.grid(); plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vYNPhyNy4OFr" + }, + "source": [ + "### Notes and references\n", + "\n", + "In this example we used the the generalized extreme value (GEV) distribution to fit the periodogram peaks. The number of surrogates and amount of local maxima per surrogate should be set so that the fit looks good.\n", + "\n", + "In IID bootstrap the data points are randomly sampled with replacement. The IID bootstrap destroys not only the periodicity but also any time correlation or structure in the time series. This results in underestimation of the confidence bars. For data with serial correlations it is better to use moving block (MB) bootstrap. In MB bootstrap blocks of data of a given length are patched together to create a new time series. The block length is a parameter. Because light curves are irregularly sampled we set a block length in days rather than number of points. The ideal is to set the length so that it destroys the periodicity and preserves most of the serial correlation\n", + "\n", + "I recommend the following if you want to delve deeper on bootstrap and extreme-value distributions applied for astronomy\n", + "- M. Süveges, \"False Alarm Probability based on bootstrap and extreme-value methods for periodogram peaks.\", *ADA7-Seventh Conference on Astronomical Data Analysis*, v. 1, 2012. http://ada7.cosmostat.org/ADA7_proceeding_MSuveges2.pdf\n", + "\n", + "And this one for bootstrap applied to time series in general\n", + "- P. Bühlmann, \"Bootstraps for time series.\", *Statistical Science*, 52-72, 2002" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "XEAJc_qt4OFr" + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Papers for final assessment/Krishman et al. (2021) - Detection of periodic signals in AGN red noise light curves - empirical tests on the Auto-Correlation Function and Phase Dispersion Minimization.pdf b/Papers for final assessment/Krishman et al. (2021) - Detection of periodic signals in AGN red noise light curves - empirical tests on the Auto-Correlation Function and Phase Dispersion Minimization.pdf new file mode 100644 index 0000000000000000000000000000000000000000..9fa7822484449f12c09f11520cfdcbee8b2ad901 Binary files /dev/null and b/Papers for final assessment/Krishman et al. (2021) - Detection of periodic signals in AGN red noise light curves - empirical tests on the Auto-Correlation Function and Phase Dispersion Minimization.pdf differ diff --git a/README.md b/README.md index 7500944c834a1cee8b7cfb11ddff61d7ce149291..3d228bdee97467bf7c5520883f90a0698c3c82e9 100644 --- a/README.md +++ b/README.md @@ -2,4 +2,4 @@ This is a repository with material (slides, notebooks, etc.) for the **Time Domain Astrophysics** course delivered at the *Università dell'Insubria* by Stefano Covino. -*Last update: 17 May 2024.* +*Last update: 22 May 2024.*