J/A+A/405/1095ivo://CDS.VizieR/J/A+A/405/1095doi:10.26093/cds/vizier.34051095CDSBarban C.Goupil M.J.Van't Veer-Menneret C.Garrido R.Kupka F.,Heiter U.2021-03-11T16:54:47Z2003-08-20T19:11:22ZCDS support team

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

cds-question@unistra.frastronomical-modelsstellar-atmospheresvisible-astronomymedium-band-photometryUsing up-to-date model atmospheres (Heiter et al. 2002A&A...392..619H) with the turbulent convection approach developed by Canuto, Goldman & Mazzitelli (1996ApJ...473..550C, CGM), quadratic, cubic and square root limb darkening coefficients (LDC) are calculated with a least square fit method for the Stroemgren photometric system. This is done for a sample of solar metallicity models with effective temperatures between 6000 and 8500K and with logg between 2.5 and 4.5. A comparison is made between these LDC and the ones computed from model atmospheres using the classical mixing length prescription with a mixing length parameter {alpha}=1.25 and {alpha}=0.5. For CGM model atmospheres, the law which reproduces better the model intensity is found to be the square root one for the u band and the cubic law for the v band. The results are more complex for the b and y bands depending on the temperature and gravity of the model. Similar conclusions are reached for Mixing Length Theory (MLT) {alpha}=0.5 models. As expected much larger differences are found between CGM and MLT with {alpha}=1.25. In a second part, the weighted limb-darkening integrals, b_ell_, and their derivatives with respect to temperature and gravity, are then computed using the best limb-darkening law. These integrals are known to be very important in the context of photometric mode identification of non-radial pulsating stars. The effect of convection treatment on these quantities is discussed and as expected differences in the b_ell_ coefficients and derivatives computed with CGM and MLT {alpha}=0.5 are much smaller than differences obtained between computations with CGM and MLT {alpha}=1.25. The limb darkening coefficients are given here for the u, v, b and y bands and for CGM models, MLT {alpha}=0.5 models and MLT {alpha}=1.25 models.2003A&A...405.1095Bhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/405/1095CatalogResearchIsServedByTAP VizieR generic servicerelated-toJ/A+A/401/657 : Non-linear limb-darkening law for LTE models II (Claret, 2003)J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000)J/A+A/335/647 : Limb-darkening coefficients for ubvyUBVRIJHK (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)https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/405/1095https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/405/1095http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/405/1095https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/405/1095https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/405/1095http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/405/1095GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapOpticaldefaultJ/A+A/405/1095/cgmQuadratic (a,b), cubic (c,d,e), square root (f,g) limb darkening coefficients and {sigma} (sd) corresponding to the law for uvby bands and for CGM (1996ApJ...473..550C) models. (tables 1-4)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintBand[uvby] Band (Stroemgren photometry)meta.code;instr.filtercharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectiveintaQuadratic limb-darkening coefficient (1)phot.limbDarkfloatbQuadratic limb-darkening coefficient (1)phot.limbDarkfloatsigmaqStandard deviation for the quadratic law (2)stat.stdevfloatcCubic limb-darkening coefficient (1)phot.limbDarkfloatdCubic limb-darkening coefficient (1)phot.limbDarkfloateCubic limb-darkening coefficient (1)phot.limbDarkfloatsigmacStandard deviation for the cubic law (2)stat.stdevfloatfSquare root limb-darkening coefficient (1)phot.limbDarkfloatgSquare root limb-darkening coefficient (1)phot.limbDarkfloatsigmasrStandard deviation for the square root law (2)stat.stdevfloatJ/A+A/405/1095/mlt125Quadratic (a,b), cubic (c,d,e), square root (f,g) limb darkening coefficients and {sigma} (sd) corresponding to the law for uvby band and for Mixing Length Theory (MLT) {alpha}=1.25 models. (tables 9-12)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintBand[uvby] Band (Stroemgren photometry)meta.code;instr.filtercharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectiveintaQuadratic limb-darkening coefficient (1)phot.limbDarkfloatbQuadratic limb-darkening coefficient (1)phot.limbDarkfloatsigmaqStandard deviation for the quadratic law (2)stat.stdevfloatcCubic limb-darkening coefficient (1)phot.limbDarkfloatdCubic limb-darkening coefficient (1)phot.limbDarkfloateCubic limb-darkening coefficient (1)phot.limbDarkfloatsigmacStandard deviation for the cubic law (2)stat.stdevfloatfSquare root limb-darkening coefficient (1)phot.limbDarkfloatgSquare root limb-darkening coefficient (1)phot.limbDarkfloatsigmasrStandard deviation for the square root law (2)stat.stdevfloatJ/A+A/405/1095/mlt050Quadratic (a,b), cubic (c,d,e), square root (f,g) limb darkening coefficients and {sigma} (sd) corresponding to the law for uvby bands and for Mixing Length Theory (MLT) {alpha}=0.5 models. (tables 5-8)recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintBand[uvby] Band (Stroemgren photometry)meta.code;instr.filtercharloggSurface gravitylog(cm.s**-2)phys.gravityfloatTeffEffective temperatureKphys.temperature.effectiveintaQuadratic limb-darkening coefficient (1)phot.limbDarkfloatbQuadratic limb-darkening coefficient (1)phot.limbDarkfloatsigmaqStandard deviation for the quadratic law (2)stat.stdevfloatcCubic limb-darkening coefficient (1)phot.limbDarkfloatdCubic limb-darkening coefficient (1)phot.limbDarkfloateCubic limb-darkening coefficient (1)phot.limbDarkfloatsigmacStandard deviation for the cubic law (2)stat.stdevfloatfSquare root limb-darkening coefficient (1)phot.limbDarkfloatgSquare root limb-darkening coefficient (1)phot.limbDarkfloatsigmasrStandard deviation for the square root law (2)stat.stdevfloat