J/A+A/664/A128ivo://CDS.VizieR/J/A+A/664/A128doi:10.26093/cds/vizier.36640128CDSClaret A.Southworth J.2022-12-16T22:25:00Z2022-08-18T12:35:02ZCDS support team

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

cds-question@unistra.frastronomical-modelsstellar-atmospheresvisible-astronomysloan-photometryinfrared-photometrybroad-band-photometryLimb darkening is an important stellar phenomenon, and must be accounted for in the study of stellar spectra, eclipsing binaries, transiting planetary systems, and microlensing events. The power-2 limb-darkening law provides a good match to the specific intensities predicted by stellar atmosphere models: better than other two-parameter laws and only surpassed by the four-parameter law. Predictions of the limb-darkening coefficients for the power-2 law are not widely available. We therefore compute them, using stellar atmosphere models generated by the ATLAS (plane-parallel) code. Limb-darkening coefficients were computed for the space missions Gaia, Kepler and TESS as well as for the photometric systems uvby, UBVRIJHK and SDSS ugriz. The calculations were performed by adopting the Levenberg-Marquardt least-squares minimization method and were computed with a resolution of 100 equally-spaced viewing angles. We used 9586 model atmospheres covering 19 metallicities, effective temperatures of 3500 to 50000K, log g values from 0.0 to 5.0, and microturbulent velocities of 0, 1, 2, 4 and 8 km/s. We confirm the superiority of the power-2 law, in terms of the quality of the fits, over other two-parameter laws. This is particularly relevant for the quadratic law, which is widely used. We recommend the use of the power-2 law in cases where a two-parameter law is needed.2022A&A...664A.128Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/664/A128CatalogResearchIsServedByTAP 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)J/A+A/634/A93 : Limb-darkening coefficients for compact stars (Claret+, 2020)J/A+A/641/A157 : Limb-darkening coefficients for white dwarfs (Claret+, 2020)J/other/RNAAS/5.13 : CHEOPS limb and gravity-darkening coefficientshttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/664/A128https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/664/A128http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/664/A128https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/664/A128https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/664/A128http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/664/A128GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapOpticalInfrareddefaultJ/A+A/664/A128/table1g,h Power-2 ATLAS models Gaia, Kepler, TESSrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatZlog10 [M/H]phys.abund.ZfloatVelMicroturbulent velocitykm/sphys.velocfloatgBPPower-2 limb darkening coefficient g (Gaia GBP)phot.limbDarkfloatgGPower-2 limb darkening coefficient g (Gaia G)phot.limbDarkfloatgRPPower-2 limb darkening coefficient g (Gaia GRP)phot.limbDarkfloatgKPower-2 limb darkening coefficient g (KEPLER)phot.limbDarkfloatgTPower-2 limb darkening coefficient g (TESS)phot.limbDarkfloathBPPower-2 limb darkening coefficient h (Gaia GBP)phot.limbDarkfloathGPower-2 limb darkening coefficient h (Gaia G)phot.limbDarkfloathRPPower-2 limb darkening coefficient h (Gaia GRP)phot.limbDarkfloathKPower-2 limb darkening coefficient h (KEPLER)phot.limbDarkfloathTPower-2 limb darkening coefficient h (TESS)phot.limbDarkfloatchi2BPchi2 of exponential LDC (Gaia GBP)stat.fit.chi2floatchi2Gchi2 of exponential LDC (Gaia G)stat.fit.chi2floatchi2RPchi2 of exponential LDC (Gaia GRP)stat.fit.chi2floatchi2Kchi2 of exponential LDC (KEPLER)stat.fit.chi2floatchi2Tchi2 of exponential LDC (TESS)stat.fit.chi2floatJ/A+A/664/A128/table2g,h Power-2 ATLAS models SDSS Sloan ugrizZlog10 [M/H]phys.abund.ZfloatggPower-2 limb darkening coefficient g (SDSS g)phot.limbDarkfloatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatVelMicroturbulent velocitykm/sphys.velocfloatguPower-2 limb darkening coefficient g (SDSS u)phot.limbDarkfloatgrPower-2 limb darkening coefficient g (SDSS r)phot.limbDarkfloatgiPower-2 limb darkening coefficient g (SDSS i)phot.limbDarkfloatgzPower-2 limb darkening coefficient g (SDSS z)phot.limbDarkfloathuPower-2 limb darkening coefficient h (SDSS u)phot.limbDarkfloathgPower-2 limb darkening coefficient h (SDSS g)phot.limbDarkfloathrPower-2 limb darkening coefficient h (SDSS r)phot.limbDarkfloathiPower-2 limb darkening coefficient h (SDSS i)phot.limbDarkfloathzPower-2 limb darkening coefficient h (SDSS z)phot.limbDarkfloatchi2uchi2 of exponential LDC (SDSS u)stat.fit.chi2floatchi2gchi2 of exponential LDC (SDSS g)stat.fit.chi2floatchi2rchi2 of exponential LDC (SDSS r)stat.fit.chi2floatchi2ichi2 of exponential LDC (SDSS i)stat.fit.chi2floatchi2zchi2 of exponential LDC (SDSS z)stat.fit.chi2floatJ/A+A/664/A128/table3g,h Power-2 ATLAS models uvbyUBVRIJHKrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintloggLog10 Surface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatZlog10 [M/H]phys.abund.ZfloatVelMicroturbulent velocitykm/sphys.velocfloatguPower-2 limb darkening coefficient g (u)phot.limbDarkfloatgvPower-2 limb darkening coefficient g (v)phot.limbDarkfloatgbPower-2 limb darkening coefficient g (b)phot.limbDarkfloatgyPower-2 limb darkening coefficient g (y)phot.limbDarkfloatgUPower-2 limb darkening coefficient g (U)phot.limbDarkfloatgBPower-2 limb darkening coefficient g (B)phot.limbDarkfloatgVPower-2 limb darkening coefficient g (V)phot.limbDarkfloatgRPower-2 limb darkening coefficient g (R)phot.limbDarkfloatgIPower-2 limb darkening coefficient g (I)phot.limbDarkfloatgJPower-2 limb darkening coefficient g (J)phot.limbDarkfloatgHPower-2 limb darkening coefficient g (H)phot.limbDarkdoublegKPower-2 limb darkening coefficient g (K)phot.limbDarkdoublehuPower-2 limb darkening coefficient h (u)phot.limbDarkfloathvPower-2 limb darkening coefficient h (v)phot.limbDarkfloathbPower-2 limb darkening coefficient h (b)phot.limbDarkfloathyPower-2 limb darkening coefficient h (y)phot.limbDarkfloathUPower-2 limb darkening coefficient h (U)phot.limbDarkfloathBPower-2 limb darkening coefficient h (B)phot.limbDarkfloathVPower-2 limb darkening coefficient h (V)phot.limbDarkfloathRPower-2 limb darkening coefficient h (R)phot.limbDarkfloathIPower-2 limb darkening coefficient h (I)phot.limbDarkfloathJPower-2 limb darkening coefficient h (J)phot.limbDarkfloathHPower-2 limb darkening coefficient h (H)phot.limbDarkfloathPower-2 limb darkening coefficient h (K)phot.limbDarkfloatchi2uchi2 of exponential LDC (u)stat.fit.chi2floatchi2vchi2 of exponential LDC (v)stat.fit.chi2floatchi2bchi2 of exponential LDC (b)stat.fit.chi2floatchi2ychi2 of exponential LDC (y)stat.fit.chi2floatchi2Uchi2 of exponential LDC (U)stat.fit.chi2floatchi2Bchi2 of exponential LDC (B)stat.fit.chi2floatchi2Vchi2 of exponential LDC (V)stat.fit.chi2floatchi2Rchi2 of exponential LDC (R)stat.fit.chi2floatchi2Ichi2 of exponential LDC (I)stat.fit.chi2floatchi2Jchi2 of exponential LDC (J)stat.fit.chi2floatchi2Hchi2 of exponential LDC (H)stat.fit.chi2floatchi2Kchi2 of exponential LDC (K)stat.fit.chi2float