J/A+A/363/1081ivo://CDS.VizieR/J/A+A/363/1081doi:10.26093/cds/vizier.33631081CDSClaret A.2003-05-18T21:20:32Z2003-05-18T21:19:33ZCDS support team

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

cds-question@unistra.frastronomical-modelsstellar-atmospheresinfrared-photometryvisible-astronomybroad-band-photometrymedium-band-photometryA new non-linear limb-darkening law, based on the Least-Squares Method (LSM), is presented. This law is able to describe the intensity distribution much more accurately than any of the old ones given that the differences I(model)-I(fitting) are of some order of magnitude smaller than those derived from other approximations. This new law shows several advantages: it represents well the intensity distribution, the flux is conserved with high accuracy and it permits the use of a single law for the whole HR Diagram since that the bi-parametric laws are only marginally valid in certain range of effective temperatures. The limb-darkening coefficients are computed for the 12 commonly used photometric bands u v b y U B V R I J H K. Bolometric and monochromatic calculations are also available. The computations are presented for 19 metallicities ranging from 10^-5^ up to 10^+1^ solar abundances, with log(g) varying between 0 and 5.0 and effective temperatures between 2000K-50000K. Results for microturbulent velocities of 0, 1, 2, 4, 8 km/s are also available. With this set of data it was possible to investigate, for the first time, the influence of such parameters in the limb-darkening. Limb-brightening, instead of limb-darkening, was detected for some models. It is shown that the limb-darkening coefficients derived using the Flux Conservation Method (FCM) do not describe very well the intensity distribution, mainly near the border of the disk. On the contrary, the present coefficients, based on the LSM, represent very well the function I({mu}) at any part of the disk for any filter or wavelength, log(g), effective temperature, metallicity and microturbulent velocity. The results are presented here as synthetic tables containing the limb-darkening coefficients. The 46 tables announced in the paper are also accessible as the "original.tar" file.2000A&A...363.1081Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/363/1081CatalogResearchIsServedByTAP VizieR generic servicerelated-toJ/A+A/401/657 : New non-linear limb-darkening law. II. (Claret, 2003)J/A+AS/109/441 : Stellar models until He burning - I. (Claret, 1995)J/A+AS/114/549 : Stellar models until He burning - II. (Claret+, 1995)J/A+AS/125/439 : Stellar models until He burning - III. (Claret+, 1997)J/A+AS/131/395 : Comprehensive tables for the interpretation (Claret, 1998)J/A+AS/133/123 : Stellar models until He burning - IV. (Claret+, 1998)J/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)J/A+AS/114/247 : Limb-darkening coefficients for RIJHK (Claret+, 1995)J/A+A/335/647 : Very low mass stars: non-linearity of the limb (Claret 1998)Table 1: Limb-Darkening coefficients for u v b y U B V R I J H K bandshttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/363/1081https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/363/1081http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/363/1081https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/363/1081https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/363/1081http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/363/1081GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapOpticalInfrareddefaultJ/A+A/363/1081/atlascoLimb-darkening coefficients, ATLAS models, all metallicities, v.tu=2,0,1,4,8km/srecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintCoeffLimb-darkening coefficients (u, (a,b) (c,d) (e,f) (G1) (1)meta.id;stat.fit.paramcharVTMicroturbulent velocitykm/sphys.veloc.microTurbintloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLinear Limb-darkening coefficient (Filter u)phot.limbDarkfloatvLinear Limb-darkening coefficient (Filter v)phot.limbDarkfloatbLinear Limb-darkening coefficient (Filter b)phot.limbDarkfloatyLinear Limb-darkening coefficient (Filter y)phot.limbDarkfloatULinear Limb-darkening coefficient (Filter U)phot.limbDarkfloatBLinear Limb-darkening coefficient (Filter B)phot.limbDarkfloatVLinear Limb-darkening coefficient (Filter V)phot.limbDarkfloatRLinear Limb-darkening coefficient (Filter R)phot.limbDarkfloatILinear Limb-darkening coefficient (Filter I)phot.limbDarkfloatJLinear Limb-darkening coefficient (Filter J)phot.limbDarkfloatHLinear Limb-darkening coefficient (Filter H)phot.limbDarkfloatKLinear Limb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/sun(a1,a2,a3,a4) limb-darkening coefficients for SUN (ATLAS)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTInitial turbulent velocitykm/sphys.veloc.microTurbfloatCoeffLimb-darkening coefficients (a_i_,i=1,4) (G1)meta.id;stat.fit.paramcharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLimb-darkening coefficient (Filter u)phot.limbDarkfloatvLimb-darkening coefficient (Filter v)phot.limbDarkfloatbLimb-darkening coefficient (Filter b)phot.limbDarkfloatyLimb-darkening coefficient (Filter y)phot.limbDarkfloatULimb-darkening coefficient (Filter U)phot.limbDarkfloatBLimb-darkening coefficient (Filter B)phot.limbDarkfloatVLimb-darkening coefficient (Filter V)phot.limbDarkfloatRLimb-darkening coefficient (Filter R)phot.limbDarkfloatILimb-darkening coefficient (Filter I)phot.limbDarkfloatJLimb-darkening coefficient (Filter J)phot.limbDarkfloatHLimb-darkening coefficient (Filter H)phot.limbDarkfloatKLimb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/vega(a1,a2,a3,a4) limb-darkening coefficients for VEGA (ATLAS)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTInitial turbulent velocitykm/sphys.veloc.microTurbfloatCoeffLimb-darkening coefficients (a_i_,i=1,4) (G1)meta.id;stat.fit.paramcharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLimb-darkening coefficient (Filter u)phot.limbDarkfloatvLimb-darkening coefficient (Filter v)phot.limbDarkfloatbLimb-darkening coefficient (Filter b)phot.limbDarkfloatyLimb-darkening coefficient (Filter y)phot.limbDarkfloatULimb-darkening coefficient (Filter U)phot.limbDarkfloatBLimb-darkening coefficient (Filter B)phot.limbDarkfloatVLimb-darkening coefficient (Filter V)phot.limbDarkfloatRLimb-darkening coefficient (Filter R)phot.limbDarkfloatILimb-darkening coefficient (Filter I)phot.limbDarkfloatJLimb-darkening coefficient (Filter J)phot.limbDarkfloatHLimb-darkening coefficient (Filter H)phot.limbDarkfloatKLimb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/sunmon(a1,a2,a3,a4) limb-darkening coefficients SUN (ATLAS), log [M/H] = 0.0, monochromaticrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintlambdawavelengthnmem.wl;phys.atmol.transitiondoubleloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatA1Monochromatic Limb-darkening coefficient a1phot.limbDarkfloatA2Monochromatic Limb-darkening coefficient a2phot.limbDarkfloatA3Monochromatic Limb-darkening coefficient a3phot.limbDarkfloatA4monochromatic Limb-darkening coefficient a4phot.limbDarkfloatJ/A+A/363/1081/vegamon(a1,a2,a3,a4) limb-darkening coefficients VEGA (ATLAS), log [M/H] =-0.5, monochromaticrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintlambdawavelengthnmem.wl;phys.atmol.transitiondoubleloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatA1Monochromatic Limb-darkening coefficient a1phot.limbDarkfloatA2Monochromatic Limb-darkening coefficient a2phot.limbDarkfloatA3Monochromatic Limb-darkening coefficient a3phot.limbDarkfloatA4monochromatic Limb-darkening coefficient a4phot.limbDarkfloatJ/A+A/363/1081/atlasb(a1,a2,a3,a4) limb-darkening coefficients ATLAS models - bolometricrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTmicroturbulent velocitykm/sphys.veloc.microTurbfloatloggSurface gravitycm.s**-2phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatA1Bolometric Limb-darkening coefficient a1phot.limbDarkfloatA2Bolometric Limb-darkening coefficient a2phot.limbDarkfloatA3Bolometric Limb-darkening coefficient a3phot.limbDarkfloatA4Bolometric Limb-darkening coefficient a4phot.limbDarkfloatJ/A+A/363/1081/atlasbcoLimb-darkening coefficients, ATLAS models, all metallicities, v.tu=2,0,1,4,8 km/s, bolometricrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintCoeff[a-f u] Limb-darkening coefficient (G1)phot.limbDarkcharVTmicroturbulent velocitykm/sphys.veloc.microTurbintloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatLimbLimb-darkening coefficient (1)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/phoenix(a1,a2,a3,a4) limb-darkening coefficients for PHOENIX models (= table38.dat)ULimb-darkening coefficient (Filter U)phot.limbDarkfloatrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTInitial turbulent velocitykm/sphys.veloc.microTurbfloatCoeffLimb-darkening coefficients (a_i_,i=1,4) (G1)meta.id;stat.fit.paramcharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLimb-darkening coefficient (Filter u)phot.limbDarkfloatvLimb-darkening coefficient (Filter v)phot.limbDarkfloatbLimb-darkening coefficient (Filter b)phot.limbDarkfloatyLimb-darkening coefficient (Filter y)phot.limbDarkfloatBLimb-darkening coefficient (Filter B)phot.limbDarkfloatVLimb-darkening coefficient (Filter V)phot.limbDarkfloatRLimb-darkening coefficient (Filter R)phot.limbDarkfloatILimb-darkening coefficient (Filter I)phot.limbDarkfloatJLimb-darkening coefficient (Filter J)phot.limbDarkfloatHLimb-darkening coefficient (Filter H)phot.limbDarkfloatKLimb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/phoenixcLimb-darkening coefficients, PHOENIX models- bolometric, log[M/H]=0.0, v.tu=2km/srecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintCoeffLimb-darkening coefficients (u, (a,b) (c,d) (e,f) (G1) (1)meta.id;stat.fit.paramcharVTMicroturbulent velocitykm/sphys.veloc.microTurbintloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLinear Limb-darkening coefficient (Filter u)phot.limbDarkfloatvLinear Limb-darkening coefficient (Filter v)phot.limbDarkfloatbLinear Limb-darkening coefficient (Filter b)phot.limbDarkfloatyLinear Limb-darkening coefficient (Filter y)phot.limbDarkfloatULinear Limb-darkening coefficient (Filter U)phot.limbDarkfloatBLinear Limb-darkening coefficient (Filter B)phot.limbDarkfloatVLinear Limb-darkening coefficient (Filter V)phot.limbDarkfloatRLinear Limb-darkening coefficient (Filter R)phot.limbDarkfloatILinear Limb-darkening coefficient (Filter I)phot.limbDarkfloatJLinear Limb-darkening coefficient (Filter J)phot.limbDarkfloatHLinear Limb-darkening coefficient (Filter H)phot.limbDarkfloatKLinear Limb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/phoenixb(a1,a2,a3,a4) limb-darkening coefficients PHOENIX models- bolometricrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTmicroturbulent velocitykm/sphys.veloc.microTurbfloatloggSurface gravitycm.s**-2phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatA1Bolometric Limb-darkening coefficient a1phot.limbDarkfloatA2Bolometric Limb-darkening coefficient a2phot.limbDarkfloatA3Bolometric Limb-darkening coefficient a3phot.limbDarkfloatA4Bolometric Limb-darkening coefficient a4phot.limbDarkfloatJ/A+A/363/1081/atlas(a1,a2,a3,a4) limb-darkening coefficients for ATLAS modelsrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintVTInitial turbulent velocitykm/sphys.veloc.microTurbfloatCoeffLimb-darkening coefficients (a_i_,i=1,4) (G1)meta.id;stat.fit.paramcharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatuLimb-darkening coefficient (Filter u)phot.limbDarkfloatvLimb-darkening coefficient (Filter v)phot.limbDarkfloatbLimb-darkening coefficient (Filter b)phot.limbDarkfloatyLimb-darkening coefficient (Filter y)phot.limbDarkfloatULimb-darkening coefficient (Filter U)phot.limbDarkfloatBLimb-darkening coefficient (Filter B)phot.limbDarkfloatVLimb-darkening coefficient (Filter V)phot.limbDarkfloatRLimb-darkening coefficient (Filter R)phot.limbDarkfloatILimb-darkening coefficient (Filter I)phot.limbDarkfloatJLimb-darkening coefficient (Filter J)phot.limbDarkfloatHLimb-darkening coefficient (Filter H)phot.limbDarkfloatKLimb-darkening coefficient (Filter K)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refcharJ/A+A/363/1081/phoenibcLimb-darkening coefficients, PHOENIX models- bolometric, log [M/H] = 0.0, v.tu= 2 km/srecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintCoeff[a-f u] Limb-darkening coefficient (G1)phot.limbDarkcharVTmicroturbulent velocitykm/sphys.veloc.microTurbintloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectivefloatlog[M/H]log [metal/H]log(Sun)phys.abund.ZfloatLimbLimb-darkening coefficient (1)phot.limbDarkfloatAllfind limb-darkening coefficient in all models around these parametersmeta.refchar