J/A+AS/131/395ivo://CDS.VizieR/J/A+AS/131/395CDSClaret A.1998-08-25T12:38:05Z1998-08-25T12:35:01ZCDS support team

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

cds-question@unistra.freclipsing-binary-starsstellar-evolutionary-modelsWe present parameters used in the investigation of the light curves of eclipsing binaries together with other data needed for the interpretation of their stellar and dynamical evolution. Parameters include limb-darkening coefficients and gravity darkening exponents, while data include the apsidal motion constants, the moment of inertia, and the potential energy. The adopted stellar models are those computed by Claret (1995, Cat. <J/A+AS/109/441>) for a representative chemical composition of X=0.70 and Z=0.02. In addition to the parameters needed for the study of the dynamical behavior and tidal evolution of binary systems, we supply the linear limb-darkening coefficients computed in 12 different photometric bands, as well as the gravity darkening exponent for each point along the evolutionary track. We have developed a method, based on the triangles strategy by Kippenhahn et al. 1967 to compute the gravity-darkening exponent using interior models. For the first time, the gravity-darkening exponents are presented as a function of mass and age. The old values of {beta}_1_ (0.32 and 1.0 for convective and radiative envelopes) are thus superseded by the present calculations and a smooth transition is achieved between both energy transport mechanisms. The tables presented here assist modeling of the light curves of close binaries using limb-darkening and gravity darkening coefficients which are consistent with the observed masses, radii and effective temperatures. In order to facilitate the use of the grid of models presented here in a variety of different research fields other than binary stars, synthetic colors (U-B, B-V, u-b, b-y) and M_v_ are also given. Decription: The results of the models are available, either as the set of 24 tables (table01 to table24) corresponding to the 24 different initial mass and composition, or as the set of tabulated parameters as a function of model and age. In the set of 24 tables, the parameters are described as sets of 7 lines, containing respectively: 1: Parameters from the model, as detailed in the bytes 1-96 of the "Byte-by-byte Decription of file: models.dat" section 2: Linear limb-darkening coefficients, as detailed in the "Byte-by-byte Decription of file: ld1.dat" section 3-6: Quadratic limb-darkening coefficients, as detailed in the "Byte-by-byte Decription of file: ld2*.dat" section 7: Photometric parameters from the models, as in bytes 98-144 of the "Byte-by-byte Decription of file: models.dat" section In tables 1 to 24, the parameters are described as follow: ------------------------------------------------------------------------------ Line one: ------------------------------------------------------------------------------ 1- 5 I5 -- N Number of the model in the track 6- 18 D12.6 yr Age Age of models 19- 26 F8.4 [solLum] log(L) Total luminosity 27- 34 F8.4 [cm/s2] log(g) Surface gravity 35- 42 F8.4 [K] log(Teff) Effective temperature 43- 50 F6.4 [solMass] Mass Mass of the model 51- 57 F6.3 --- log(k2) Apsidal motion constant (j=2) 58- 64 F6.3 --- log(k3) Apsidal motion constant (j=3) 65- 71 F6.3 --- log(k4) Apsidal motion constant (j=4) 72- 80 D8.3 --- alpha alpha = -Ep x R/GM^2 81- 87 F6.3 ---- beta Fractional gyration radius 88- 96 F6.4 ---- beta_1 Gravity-Darkening exponent ------------------------------------------------------------------------------ Line two: ------------------------------------------------------------------------------ 1- 8 F8.4 --- u(u) Linear Limb-darkening coef. (Stroemgren u) 9- 16 F8.4 --- u(v) Linear Limb-darkening coef. (Stroemgren v) 17- 24 F8.4 --- u(b) Linear Limb-darkening coef. (Stroemgren b) 25- 32 F8.4 --- u(y) Linear Limb-darkening coef. (Stroemgren y) 33- 40 F8.4 --- u(U) Linear Limb-darkening coef. (Johnson U) 41- 48 F8.4 --- u(B) Linear Limb-darkening coef. (Johnson B) 49- 56 F8.4 --- u(V) Linear Limb-darkening coef. (Johnson V) 57- 64 F8.4 --- u(R) Linear Limb-darkening coef. (R) 65- 72 F8.4 --- u(I) Linear Limb-darkening coef. (I) 73- 80 F8.4 --- u(J) Linear Limb-darkening coef. (J) 81- 88 F8.4 --- u(H) Linear Limb-darkening coef. (H) 89 96 F8.4 --- u(K) Linear Limb-darkening coef. (K) ------------------------------------------------------------------------------ Line three: ------------------------------------------------------------------------------ 1- 8 F8.4 --- a(u) Quadratic Limb-darkening coef. (Stroemgren u) 9- 16 F8.4 --- a(v) Quadratic Limb-darkening coef. (Stroemgren v) 17- 24 F8.4 --- a(b) Quadratic Limb-darkening coef. (Stroemgren b) 25- 32 F8.4 --- a(y) Quadratic Limb-darkening coef. (Stroemgren y) 33- 40 F8.4 --- a(U) Quadratic Limb-darkening coef. (Johnson U) 41- 48 F8.4 --- a(B) Quadratic Limb-darkening coef. (Johnson B) 49- 56 F8.4 --- a(V) Quadratic Limb-darkening coef. (Johnson V) 57- 64 F8.4 --- a(R) Quadratic Limb-darkening coef. (R) 65- 72 F8.4 --- a(I) Quadratic Limb-darkening coef. (I) 73- 80 F8.4 --- a(J) Quadratic Limb-darkening coef. (J) 81- 88 F8.4 --- a(H) Quadratic Limb-darkening coef. (H) 89 96 F8.4 --- a(K) Quadratic Limb-darkening coef. (K) ------------------------------------------------------------------------------ Line four: ------------------------------------------------------------------------------ 1- 8 F8.4 --- b(u) Quadratic Limb-darkening coef. (Stroemgren u) 9- 16 F8.4 --- b(v) Quadratic Limb-darkening coef. (Stroemgren v) 17- 24 F8.4 --- b(b) Quadratic Limb-darkening coef. (Stroemgren b) 25- 32 F8.4 --- b(y) Quadratic Limb-darkening coef. (Stroemgren y) 33- 40 F8.4 --- b(U) Quadratic Limb-darkening coef. (Johnson U) 41- 48 F8.4 --- b(B) Quadratic Limb-darkening coef. (Johnson B) 49- 56 F8.4 --- b(V) Quadratic Limb-darkening coef. (Johnson V) 57- 64 F8.4 --- b(R) Quadratic Limb-darkening coef. (R) 65- 72 F8.4 --- b(I) Quadratic Limb-darkening coef. (I) 73- 80 F8.4 --- b(J) Quadratic Limb-darkening coef. (J) 81- 88 F8.4 --- b(H) Quadratic Limb-darkening coef. (H) 89 96 F8.4 --- b(K) Quadratic Limb-darkening coef. (K) ------------------------------------------------------------------------------ Line five: ------------------------------------------------------------------------------ 1- 8 F8.4 --- c(u) Square root Limb-darkening coef. (Stroemgren u) 9- 16 F8.4 --- c(v) Square root Limb-darkening coef. (Stroemgren v) 17- 24 F8.4 --- c(b) Square root Limb-darkening coef. (Stroemgren b) 25- 32 F8.4 --- c(y) Square root Limb-darkening coef. (Stroemgren y) 33- 40 F8.4 --- c(U) Square root Limb-darkening coef. (Johnson U) 41- 48 F8.4 --- c(B) Square root Limb-darkening coef. (Johnson B) 49- 56 F8.4 --- c(V) Square root Limb-darkening coef. (Johnson V) 57- 64 F8.4 --- c(R) Square root Limb-darkening coef. (R) 65- 72 F8.4 --- c(I) Square root Limb-darkening coef. (I) 73- 80 F8.4 --- c(J) Square root Limb-darkening coef. (J) 81- 88 F8.4 --- c(H) Square root Limb-darkening coef. (H) 89 96 F8.4 --- c(K) Square root Limb-darkening coef. (K) ------------------------------------------------------------------------------ Line six: ------------------------------------------------------------------------------ 1- 8 F8.4 --- d(u) Square root Limb-darkening coef. (Stroemgren u) 9- 16 F8.4 --- d(v) Square root Limb-darkening coef. (Stroemgren v) 17- 24 F8.4 --- d(b) Square root Limb-darkening coef. (Stroemgren b) 25- 32 F8.4 --- d(y) Square root Limb-darkening coef. (Stroemgren y) 33- 40 F8.4 --- d(U) Square root Limb-darkening coef. (Johnson U) 41- 48 F8.4 --- d(B) Square root Limb-darkening coef. (Johnson B) 49- 56 F8.4 --- d(V) Square root Limb-darkening coef. (Johnson V) 57- 64 F8.4 --- d(R) Square root Limb-darkening coef. (R) 65- 72 F8.4 --- d(I) Square root Limb-darkening coef. (I) 73- 80 F8.4 --- d(J) Square root Limb-darkening coef. (J) 81- 88 F8.4 --- d(H) Square root Limb-darkening coef. (H) 89 96 F8.4 --- d(K) Square root Limb-darkening coef. (K) ------------------------------------------------------------------------------ Line seven: ------------------------------------------------------------------------------ 1- 8 F8.4 --- M_v Absolute Visual Magnitude 9- 16 F8.4 --- M_bol Absolute Bolometric Magnitude 17- 24 F8.4 --- U-B Color Index U-B (Johnson) 25- 32 F8.4 --- B-V Color Index B-V (Johnson) 33- 40 F8.4 --- u-b Color Index u-b (Stroemgren) 41- 48 F8.4 --- b-y Color Index b-y (Stroemgren) ------------------------------------------------------------------------------1998A&AS..131..395Chttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+AS/131/395CatalogResearchIsServedByTAP VizieR generic servicerelated-toJ/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/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 : Limb-darkening coefficients for ubvyUBVRIJHK (Claret 1998)https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+AS/131/395https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+AS/131/395http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+AS/131/395https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+AS/131/395https://vizier.iucaa.in/viz-bin/votable?-source=J/A+AS/131/395http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+AS/131/395GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/A+AS/131/395/initInitial parametersrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimarylogMInitial masslog(solMass)phys.massfloatXX initial composition (H)phys.abund.XfloatYY initial compositionphys.abund.YfloatOvershoot[y/n] without (n) or with (y) overshootingmeta.notecharJ/A+AS/131/395/modelsParameters resulting from the modelsrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintAgeAge of modelsyrtime.agedoublelog(L)Total luminositylog(solLum)phys.luminosityfloatlog(g)Surface gravitylog(cm.s**-2)phys.gravityfloatlog(Teff)Effective temperaturelog(K)phys.temperature.effectivefloatMMass of the modelsolMassphys.massfloatlog(k2)Apsidal motion constant (j=2)stat.paramfloatlog(k3)Apsidal motion constant (j=3)stat.paramfloatlog(k4)Apsidal motion constant (j=4)stat.paramfloatalphaalpha = -Ep x R/GM^2^stat.paramdoublebetaFractional gyration radiusphys.size.radius;arith.ratiofloatbeta_1Gravity-Darkening exponentstat.paramfloatMvisAbsolute visual magnitudemagphys.magAbs;em.optfloatMbolAbsolute bolometric magnitudemagphys.magAbs.bolfloatU-BColor index U-B (Johnson)magphot.color;em.opt.U;em.opt.BfloatB-VColor index B-V (Johnson)magphot.color;em.opt.B;em.opt.Vfloatu-bColor index u-b (Stroemgren)magphot.color;em.opt.U;em.opt.Bfloatb-yColor index b-y (Stroemgren)magphot.color;em.opt.B;em.opt.VfloatJ/A+AS/131/395/ld1Linear limb-darkening coefficientsrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintu(u)Linear Limb-darkening coeff. (Stroemgren u)phot.limbDarkfloatu(v)Linear Limb-darkening coeff. (Stroemgren v)phot.limbDarkfloatu(b)Linear Limb-darkening coeff. (Stroemgren b)phot.limbDarkfloatu(y)Linear Limb-darkening coeff. (Stroemgren y)phot.limbDarkfloatu(U)Linear Limb-darkening coeff. (Johnson U)phot.limbDarkfloatu(B)Linear Limb-darkening coeff. (Johnson B)phot.limbDarkfloatu(V)Linear Limb-darkening coeff. (Johnson V)phot.limbDarkfloatu(R)Linear Limb-darkening coeff. (R)phot.limbDarkfloatu(I)Linear Limb-darkening coeff. (I)phot.limbDarkfloatu(J)Linear Limb-darkening coeff. (J)phot.limbDarkfloatu(H)Linear Limb-darkening coeff. (H)phot.limbDarkfloatu(K)Linear Limb-darkening coeff. (K)phot.limbDarkfloatJ/A+AS/131/395/ld2aQuadratic limb-darkening coefficients, arecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintuQuadratic Limb-darkening coeff. (Stroemgren u)phot.limbDarkfloatvQuadratic Limb-darkening coeff. (Stroemgren v)phot.limbDarkfloatbQuadratic Limb-darkening coeff. (Stroemgren b)phot.limbDarkfloatyQuadratic Limb-darkening coeff. (Stroemgren y)phot.limbDarkfloatUQuadratic Limb-darkening coeff. (Johnson U)phot.limbDarkfloatBQuadratic Limb-darkening coeff. (Johnson B)phot.limbDarkfloatVQuadratic Limb-darkening coeff. (Johnson V)phot.limbDarkfloatRQuadratic Limb-darkening coeff. (R)phot.limbDarkfloatIQuadratic Limb-darkening coeff. (I)phot.limbDarkfloatJQuadratic Limb-darkening coeff. (J)phot.limbDarkfloatHQuadratic Limb-darkening coeff. (H)phot.limbDarkfloatKQuadratic Limb-darkening coeff. (K)phot.limbDarkfloatJ/A+AS/131/395/ld2bQuadratic limb-darkening coefficients, brecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintuQuadratic Limb-darkening coeff. (Stroemgren u)phot.limbDarkfloatvQuadratic Limb-darkening coeff. (Stroemgren v)phot.limbDarkfloatbQuadratic Limb-darkening coeff. (Stroemgren b)phot.limbDarkfloatyQuadratic Limb-darkening coeff. (Stroemgren y)phot.limbDarkfloatUQuadratic Limb-darkening coeff. (Johnson U)phot.limbDarkfloatBQuadratic Limb-darkening coeff. (Johnson B)phot.limbDarkfloatVQuadratic Limb-darkening coeff. (Johnson V)phot.limbDarkfloatRQuadratic Limb-darkening coeff. (R)phot.limbDarkfloatIQuadratic Limb-darkening coeff. (I)phot.limbDarkfloatJQuadratic Limb-darkening coeff. (J)phot.limbDarkfloatHQuadratic Limb-darkening coeff. (H)phot.limbDarkfloatKQuadratic Limb-darkening coeff. (K)phot.limbDarkfloatJ/A+AS/131/395/ld2cSquare root limb-darkening coefficients, crecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintuQuadratic Limb-darkening coeff. (Stroemgren u)phot.limbDarkfloatvQuadratic Limb-darkening coeff. (Stroemgren v)phot.limbDarkfloatbQuadratic Limb-darkening coeff. (Stroemgren b)phot.limbDarkfloatyQuadratic Limb-darkening coeff. (Stroemgren y)phot.limbDarkfloatUQuadratic Limb-darkening coeff. (Johnson U)phot.limbDarkfloatBQuadratic Limb-darkening coeff. (Johnson B)phot.limbDarkfloatVQuadratic Limb-darkening coeff. (Johnson V)phot.limbDarkfloatRQuadratic Limb-darkening coeff. (R)phot.limbDarkfloatIQuadratic Limb-darkening coeff. (I)phot.limbDarkfloatJQuadratic Limb-darkening coeff. (J)phot.limbDarkfloatHQuadratic Limb-darkening coeff. (H)phot.limbDarkfloatKQuadratic Limb-darkening coeff. (K)phot.limbDarkfloatJ/A+AS/131/395/ld2dSquare root limb-darkening coefficients, drecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintTable[1/24] Table numbermeta.id;meta.datasetintprimaryNNumber of the model in the trackmeta.id;stat.fitintuQuadratic Limb-darkening coeff. (Stroemgren u)phot.limbDarkfloatvQuadratic Limb-darkening coeff. (Stroemgren v)phot.limbDarkfloatbQuadratic Limb-darkening coeff. (Stroemgren b)phot.limbDarkfloatyQuadratic Limb-darkening coeff. (Stroemgren y)phot.limbDarkfloatUQuadratic Limb-darkening coeff. (Johnson U)phot.limbDarkfloatBQuadratic Limb-darkening coeff. (Johnson B)phot.limbDarkfloatVQuadratic Limb-darkening coeff. (Johnson V)phot.limbDarkfloatRQuadratic Limb-darkening coeff. (R)phot.limbDarkfloatIQuadratic Limb-darkening coeff. (I)phot.limbDarkfloatJQuadratic Limb-darkening coeff. (J)phot.limbDarkfloatHQuadratic Limb-darkening coeff. (H)phot.limbDarkfloatKQuadratic Limb-darkening coeff. (K)phot.limbDarkfloat