J/ApJS/266/28ivo://CDS.VizieR/J/ApJS/266/28doi:10.26093/cds/vizier.22660028CDSLi M.-Y.Qian S.-B.Zhu L.-Y.Liao W.-P.Zhao E.-G.Shi X.-D.,Sun Q.-B.2023-10-20T13:47:45Z2023-09-19T10:13:45ZCDS support team

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

cds-question@unistra.frmultiple-starsorbitsphotometryvisible-astronomyHeartbeat stars (HBSs) are astrophysical laboratories for studying binaries with eccentric orbits. A catalog of 173 Kepler HBSs was reported by Kirk+ (2016, J/AJ/151/68), and we have modeled 153 of them by using a corrected version of Kumar+ (1995ApJ...449..294K)'s model based on the Markov Chain Monte Carlo method. The orbital parameters, including orbital period, eccentricity, orbital inclination, the argument of periastron, and epoch of the periastron passage of these HBSs, have been determined and are presented. Orbital parameters of more than 100 systems are obtained for the first time. After comparing the parameters of 38 overlapping systems with previous works, it is shown that the orbital parameters of HBSs can be reliably derived using this method. These samples can also be valuable targets for future studies of the structures and evolution of HBSs. The eccentricity-period (e-P) relation also reveals the existence of orbital circularization in HBSs. We then propose an empirical equation for the relationship between the upper limit of eccentricity and the orbital period in systems with orbital periods less than 10 days based on the e-P relation. In addition, it is possible that seven systems in the catalog with eccentricity less than 0.02 should be excluded from the HBS candidates.2023ApJS..266...28Lhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJS/266/28CatalogResearchIsServedByTAP VizieR generic serviceIsServedByConesearch servicerelated-toB/sb9 : SB9: 9th Catalogue of Spectroscopic Binary Orbits (Pourbaix+ 2004-2014)V/133 : Kepler Input Catalog (Kepler Mission Team, 2009)J/AJ/151/68 : Kepler Mission. VII. Eclipsing binaries in DR3 (Kirk+, 2016)J/ApJ/829/34 : Kepler heartbeat star radial velocities (Shporer+, 2016)J/MNRAS/469/2089 : Radial velocity curves of 7 KIC (Dimitrov+, 2017)J/ApJS/259/16 : Heartbeat stars from OGLE (Wrona+, 2022)J/ApJS/262/10 : Kepler eclipsing binaries with Gaia data (Knote+, 2022)https://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJS/266/28https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJS/266/28http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJS/266/28https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJS/266/28https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJS/266/28http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJS/266/28GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapCone search capability for table J/ApJS/266/28/table1 (Parameters of the K95+ model fitted to the Kepler light curves of 152 HBSs)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/ApJS/266/28/table1?https://vizier.iucaa.in/viz-bin/conesearch/J/ApJS/266/28/table1?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/ApJS/266/28/table1?GETtext/xml+votable180.050000true291.502419437.17748420.005555555555555556Cone search capability for table J/ApJS/266/28/table2 (Parameters of the K95+ extended model fitted to KIC 7591456)https://vizier.cds.unistra.fr/viz-bin/conesearch/J/ApJS/266/28/table2?https://vizier.iucaa.in/viz-bin/conesearch/J/ApJS/266/28/table2?http://vizieridia.saao.ac.za/viz-bin/conesearch/J/ApJS/266/28/table2?GETtext/xml+votable180.050000true285.60982543.20552170.0055555555555555565/3690-3691 6/14573 14578-14579 14581-14583 14585 14589 14591 14730 14733-14735 14738 14744 14749-14752 14754 14756 14758-14759 14770 14772 14774 14777-14779 14781-14783 14794 14818-14819 14824-14826 14830 14915 14918 14921 14924 14928-14930 14933 14935-14936 14939 14942 14948 14950 14952 14956 14958 14960 14962-14963 14969 15041 15044 15104 15106-15107 15110 15113 15116 15119-15122 15126 15129-15132 15137 15140 15143 15146-15147 15150 15156-15157 15168-15169 15171-15172https://cdsarc.cds.unistra.fr/viz-bin/moc/J/ApJS/266/28?format=asciiOpticaldefaultJ/ApJS/266/28/table1Parameters of the K95+ model fitted to the Kepler light curves of 152 HBSsrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintKIC[1573836/12255108] Kepler Input Catalog IDmeta.id;meta.mainintSimbadSimbad column added by the CDSmeta.ref.urlcharTEO[0/1] Tidally excited oscillation (1: with TEOs; 0: without TEOs)meta.codeintData[0/1]? Data used (1)meta.codeintnullablePer[0.95/438] Orbital perioddtime.perioddoublee_Per[6e-08/0.01] Uncertainty of Perdstat.errordoublee[0.0002/0.95] Eccentricitysrc.orbital.eccentricitydoublee_e[1e-05/0.01] uncertainty of estat.errordoublei[1/90.01] Inclinationdegsrc.orbital.inclinationfloate_i[0.001/3.6] Uncertainty of idegstat.errorfloatomega[4/179.3] Argument of periastrondegsrc.orbital.periastronfloate_omega[0.002/14] Uncertainty of omegadegstat.errorfloatT0[54953.59/56314.4] Epoch of the periastron passage, BJD-2400000dtime.epochdoublee_T0[1.9e-05/0.2] Uncertainty T0dstat.errordoubleS[5.2e-07/1.01] Factor of amplitude scalingarith.factor;src.var.amplitudedoublee_S[1e-08/0.15] Uncertainty of Sstat.errordoubleC[-1/0.0011] Fractional flux offsetphot.flux;arith.diffdoublee_C[4e-08/0.15] Uncertainty of Cstat.errordouble_RARight Ascension (J2000) from SIMBAD (not part of the original data)degpos.eq.ra;meta.main_DEDeclination (J2000) from SIMBAD (not part of the original data)degpos.eq.dec;meta.mainJ/ApJS/266/28/table2Parameters of the K95+ extended model fitted to KIC 7591456omega[103.788] Argument of periastrondegsrc.orbital.periastronfloate_omega[0.035] Uncertainty of omegadegstat.errorfloatT0[54957.3761] Epoch of the periastron passage, BJD-2400000dtime.epochdoublee_T0[0.0006] Uncertainty T0dstat.errordoubleS[0.00019908] Factor of amplitude scalingarith.factor;src.var.amplitudedoublee_S[3.6e-07] Uncertainty of Sstat.errordoubleC[0.00010794] Fractional flux offsetphot.flux;arith.diffdoublee_C[3.3e-07] Uncertainty of Cstat.errordoubleA[-0.0004336] Amplitude of sinusoidal signalstat.snr;src.var.amplitudedoublee_A[5.4e-07] Uncertainty of Astat.errordoubleSimbadSimbad column added by the CDSmeta.ref.urlchar_RARight Ascension (J2000) from SIMBAD (not part of the original data)degpos.eq.ra;meta.main_DEDeclination (J2000) from SIMBAD (not part of the original data)degpos.eq.dec;meta.mainrecnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintKIC[7591456] Kepler Input Catalog identifiermeta.id;meta.mainintTEO[0] Tidally excited oscillation (always "0": without TEOs)meta.codeintData[0] Data used (always "0": Kirk+ 2016, J/AJ/151/68)meta.codeintPer[5.835597] Orbital perioddtime.perioddoublee_Per[3.7e-06] Uncertainty of Perdstat.errordoublee[0.29862] Eccentricitysrc.orbital.eccentricitydoublee_e[0.00039] uncertainty of estat.errordoublei[36.221] Inclinationdegsrc.orbital.inclinationfloate_i[0.021] Uncertainty of idegstat.errorfloat