J/A+A/634/A93ivo://CDS.VizieR/J/A+A/634/A93doi:10.26093/cds/vizier.36340093CDSClaret A.Cukanovaite E.Burdge K.Tremblay P.-E.Parsons S.Marsh T.R.2022-05-31T12:30:46Z2020-02-14T09:34:57ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frastronomical-modelsstellar-atmospheresvisible-astronomysloan-photometryinfrared-photometryWide-band photometryThe distribution of the specific intensity over the stellar disk is an essential tool for modeling the light curves in eclipsing binaries, planetary transits, and stellar diameters through interferometric techniques, line profiles in rotating stars, gravitational microlensing, etc. However, the available theoretical calculations are mostly restricted to stars on the main sequence or the giant branch, and very few calculations are available for compact stars. The main objective of the present work is to extend these investigations by computing the gravity and limb-darkening coefficients for white dwarf atmosphere models with hydrogen, helium, or mixed compositions (types DA, DB, and DBA). We computed gravity and limb-darkening coefficients for DA, DB, and DBA white dwarfs atmosphere models, covering the transmission curves of the Sloan, UBVRI, Kepler, TESS, and Gaia photometric systems. Specific calculations for the HiPERCAM instrument were also carried out. For all calculations of the limb-darkening coefficients we used the least-squares method. Concerning the effects of tidal and rotational distortions, we also computed for the first time the gravity-darkening coefficients $y(\lambda)$ for white dwarfs using the same models of stellar atmospheres as in the case of limb-darkening. A more general differential equation was introduced to derive these quantities, including the partial derivative <{\partial}lnI_o_(lambda)/{\partial}lng)_Teff_. Six laws were adopted to describe the specific intensity distribution: linear, quadratic, square root, logarithmic, power-2, and a more general one with four coefficients. The computations are presented for the chemical compositions log[H/He]=-10.0 (DB), -2.0 (DBA) and He/H=0 (DA), with logg varying between 5.0 and 9.5 and effective temperatures between 3750K-100000K. For effective temperatures higher than 40000K, the models were also computed adopting nonlocal thermal equilibrium (DA). The adopted mixing-length parameters are ML2/{alpha}= 0.8 (DA case) and 1.25 (DB and DBA). The results are presented in the form of 112 tables. Additional calculations, such as for other photometric systems and/or different values of log[H/He], logg, and Teff can be performed upon request.2020A&A...634A..93Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/634/A93CatalogResearchIsServedByTAP VizieR generic servicerelated-toJ/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)J/A+AS/114/247 : Limb-darkening coeff. for RIJHK (Claret+, 1995)J/A+A/335/647 : Limb-darkening coeff. for ubvyUBVRIJHK (Claret 1998)J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000)J/A+A/405/1095 : Limb-darkening coeff. from ATLAS9 models (Barban+, 2003)J/A+A/510/A21 : Stellar limb-darkening coeff. (Sing, 2010)J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011)J/A+A/546/A14 : Limb-darkening for CoRoT, Kepler, Spitzer. I (Claret+, 2012)J/A+A/552/A16 : Limb-darkening for CoRoT, Kepler, Spitzer. II (Claret+, 2013)J/A+A/567/A3 : Limb-darkening coefficients for MOST (Claret+, 2014)J/A+A/600/A30 : Limb-darkening for TESS satellite (Claret, 2017)https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/634/A93https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/634/A93http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/634/A93https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/634/A93https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/634/A93http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/634/A93GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapOpticalInfrareddefaultJ/A+A/634/A93/tableuu linear limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.ZdoubleuLinear limb darkening coefficient upos.distancefloatsigchi2 of linear LDCstat.fit.chi2floatICentral intensity of linear LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) of linear LDCstat.fit.paramfloatFilterFiltermeta.id;instr.filtercharJ/A+A/634/A93/tableab*a,b quadratic limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)FilterFiltermeta.id;instr.filtercharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.ZdoubleaQuadratic LDC coefficient aphot.limbDarkfloatbQuadratic LDC coefficient bphot.limbDarkfloatsigchi2 of quadratic LDCstat.fit.chi2floatICentral intensity of quadratic LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) of quadratic LDCstat.fit.paramfloatJ/A+A/634/A93/tablecd*c,d root-square limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.ZdoublecRoot-square limb darkening coefficient cphot.limbDarkfloatdRoot-square limb darkening coefficient dphot.limbDarkfloatsigchi2 for root-square LDCstat.fit.chi2floatICentral intensity for root-square LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) for root-square LDCstat.fit.paramfloatFilterFiltermeta.id;instr.filtercharJ/A+A/634/A93/tableef*e,f logarithmic limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.ZdoubleeLogarithmic limb darkening coefficient ephot.limbDarkfloatfLogarithmic limb darkening coefficient fphot.limbDarkfloatsigchi2 for logarithmic LDCstat.fit.chi2floatICentral intensity for logarithmic LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) for logarithmic LDCstat.fit.paramfloatFilterFiltermeta.id;instr.filtercharJ/A+A/634/A93/tablegh*g,h power-2 limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)ZLog10 [H/He]phys.abund.ZdoublegPower-2 limb darkening coefficient gphot.limbDarkfloathPower-2 limb darkening coefficient hphot.limbDarkfloatsigchi2 of exponential LDCstat.fit.chi2floatICentral intensity of exponential LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) of exponential LDCstat.fit.paramfloatFilterFiltermeta.id;instr.filtercharModModel (G1)meta.notecharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleJ/A+A/634/A93/tablea4*a1,a2,a3,a4 limb darkening coefficients, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)sigchi2 of 4terms LDCstat.fit.chi2floatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.Zdoublea14terms limb darkening coefficient a1phot.limbDarkfloata24terms limb darkening coefficient a2phot.limbDarkfloata34terms limb darkening coefficient a3phot.limbDarkfloata44terms limb darkening coefficient a4phot.limbDarkfloatICentral intensity of 4terms LDC (G2)mW.m**-2.Hz**-1.sr**-1spect.line.intensitydoubleBeDoppler beaming (BB) of 4terms LDCstat.fit.paramfloatFilterFiltermeta.id;instr.filtercharJ/A+A/634/A93/tabley*y GDCs, Sloan (u'g'r'i'z'y'), UBVRI, HiPERCAM (ugriz) and Kepler (Ke), TESS (Te), GAIA (Gbp, Gg, Grp) (SEE NOTE!!!)y2GDC y2phot.limbDarkfloatFilterFiltermeta.id;instr.filtercharrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintModModel (G1)meta.notecharloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivedoubleZLog10 [H/He]phys.abund.Zdoubley1GDC y1phot.limbDarkfloat