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<ri:Resource created="2012-05-10T07:35:09Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>Evolutionary tracks for pre-main sequence stars</title><shortName>J/A+A/541/A113</shortName><identifier>ivo://CDS.VizieR/J/A+A/541/A113</identifier><altIdentifier>doi:10.26093/cds/vizier.35410113</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Claret A.</name></creator><date role="Updated">2017-06-22T14:28:28Z</date><date role="Created">2012-05-10T07:35:09Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>stellar-evolutionary-models</subject><subject>pre-main-sequence-stars</subject><description>The apsidal-motion constants k_j_ and the moment of inertia are often used to study the apsidal-motion and tidal evolution of double-lined eclipsing binaries and planetary systems. On the other hand, the computation of the theoretical light curves of eclipsing binaries, planetary transits, and single rapidly rotating stars requires the knowledge of how the flux is distributed over the distorted stellar surfaces which can derived from the gravity-darkening exponent. Such parameters are available for several masses and chemical compositions covering the main-sequence and giant branch. However, for early phases (pre main-sequence, hereafter PMS) the calculations are scarce or even lacking. We present the calculations of the apsidal-motion constants, the fractional radius of gyration, and the gravity-darkening exponents for an extensive grid of PMS. The code used to generate the PMS models is essentially the same as that described by us in 2004. The apsidal-motion constants, the moment of inertia and the potential energy were computed using a fourth order Runge-Kutta method. The gravity-darkening exponents were computed using a method previously developed by us. The apsidal-motion constants, the moment of inertia, the potential energy, and the gravity-darkening exponents are made available for each point on every evolutionary track for PMS models covering the mass range 0.05-30M_{sun}_. Our calculations are made available for three chemical compositions (X, Z)=(0.757, 0.001), (0.70, 0.02), (0.64, 0.04).</description><source format="bibcode">2012A&amp;A...541A.113C</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/541/A113</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/VI/118">VI/118 : Stellar Models until He burning (Claret+ 1995-1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+AS/131/395">J/A+AS/131/395 : Eclipsing binaries light curves models (Claret 1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+AS/114/247">J/A+AS/114/247 : Limb-darkening coefficients for R I J H K (Claret+, 1995)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/335/647">J/A+A/335/647 : Limb-darkening coefficients for ubvyUBVRIJHK (Claret 1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/529/A75">J/A+A/529/A75 : Limb-darkening coefficients (Claret+, 2011)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/363/1081">J/A+A/363/1081 : Non-linear limb-darkening law for LTE models (Claret, 2000)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/401/657">J/A+A/401/657 : Non-linear limb-darkening law for LTE models II (Claret, 2003)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/428/1001">J/A+A/428/1001 : Non-linear limb-darkening law for LTE models III (Claret 2005)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/424/919">J/A+A/424/919 : New grids of stellar models I (Claret, 2004)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/440/647">J/A+A/440/647 : New grids of stellar models II (Claret, 2005)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/453/769">J/A+A/453/769 : New grids of stellar models III (Claret+, 2006)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/467/1389">J/A+A/467/1389 : New grids of stellar models IV (Claret, 2007)</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/541/A113</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/541/A113</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/541/A113</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/541/A113</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/541/A113</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/541/A113</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/A+A/541/A113/grids</name><description>Evolutionnary tracks for</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Z</name><description>[0.001/0.04] Initial Z abundance</description><ucd>phys.atmol.initial</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>X</name><description>[0.64/0.757] Initial X abundance</description><ucd>phys.abund.X</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Mini</name><description>[0.04/30] Initial mass</description><unit>solMass</unit><ucd>phys.mass</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>track</name><description>Evolutionary track for this (Z,Mini)</description><ucd>meta.ref.url</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Age</name><description>Age of the models</description><unit>yr</unit><ucd>time.age</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Mass</name><description>Actual mass of the model</description><unit>solMass</unit><ucd>phys.mass;meta.modelled</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logL</name><description>Log(Total luminosity)</description><unit>log(solLum)</unit><ucd>phys.luminosity</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logTe</name><description>Log(Effective temperature)</description><unit>log(K)</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logg</name><description>Log(Surface gravity)</description><unit>log(cm.s**-2)</unit><ucd>arith.zp</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logK2</name><description>Log(Apsidal motion constant (j=2))</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logK3</name><description>Log(Apsidal motion constant (j=3))</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>logK4</name><description>Log(Apsidal motion constant (j=4))</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>alphaP</name><description>alphaP =-E_p_xR/GM^2^</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Rgyr</name><description>Fractional gyration radius</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>beta1</name><description>[0/1] Gravity-darkening exponent</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table></schema></tableset></ri:Resource>