<?xml-stylesheet href='/static/xsl/oai.xsl' type='text/xsl'?>
<ri:Resource created="2021-03-04T09:50:38Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:cs="http://www.ivoa.net/xml/ConeSearch/v1.0" 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/ConeSearch/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/ConeSearch.xsd 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>Inferring probabilistic stellar rotation periods</title><shortName>J/MNRAS/474/2094</shortName><identifier>ivo://CDS.VizieR/J/MNRAS/474/2094</identifier><altIdentifier>doi:10.26093/cds/vizier.74742094</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Angus R.</name></creator><creator><name>Morton T.</name></creator><creator><name>Aigrain S.</name></creator><creator><name>Foreman-Mackey D.</name></creator><creator><name>Rajpaul V.</name></creator><date role="Updated">2024-08-18T20:17:10Z</date><date role="Created">2021-03-04T09:50:38Z</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>multiple-stars</subject><subject>exoplanets</subject><description>Variability in the light curves of spotted, rotating stars is often non-sinusoidal and quasi-periodic - spots move on the stellar surface and have finite lifetimes, causing stellar flux variations to slowly shift in phase. A strictly periodic sinusoid therefore cannot accurately model a rotationally modulated stellar light curve. Physical models of stellar surfaces have many drawbacks preventing effective inference, such as highly degenerate or high-dimensional parameter spaces. In this work, we test an appropriate effective model: a Gaussian Process with a quasi-periodic covariance kernel function. This highly flexible model allows sampling of the posterior probability density function of the periodic parameter, marginalizing over the other kernel hyperparameters using a Markov Chain Monte Carlo approach. To test the effectiveness of this method, we infer rotation periods from 333 simulated stellar light curves, demonstrating that the Gaussian process method produces periods that are more accurate than both a sine-fitting periodogram and an autocorrelation function method. We also demonstrate that it works well on real data, by inferring rotation periods for 275 Kepler stars with previously measured periods. We provide a table of rotation periods for these and many more, altogether 1102 Kepler objects of interest, and their posterior probability density function samples. Because this method delivers posterior probability density functions, it will enable hierarchical studies involving stellar rotation, particularly those involving population modelling, such as inferring stellar ages, obliquities in exoplanet systems, or characterizing star-planet interactions. The code used to implement this method is available online (https://github.com/RuthAngus/GProtation/).</description><source format="bibcode">2018MNRAS.474.2094A</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/MNRAS/474/2094</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>IsServedBy</relationshipType><relatedResource>Conesearch service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/V/133">V/133 : Kepler Input Catalog (Kepler Mission Team, 2009)</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/MNRAS/474/2094</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/MNRAS/474/2094</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/MNRAS/474/2094</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/MNRAS/474/2094</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/MNRAS/474/2094</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/MNRAS/474/2094</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><capability xsi:type="cs:ConeSearch" standardID="ivo://ivoa.net/std/ConeSearch"><description>Cone search capability for table J/MNRAS/474/2094/table5 (Rotation periods and Kepler input catalogue (KIC) properties for 1102 Kepler objects of interest)</description><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/conesearch/J/MNRAS/474/2094/table5?</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/conesearch/J/MNRAS/474/2094/table5?</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/conesearch/J/MNRAS/474/2094/table5?</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface><maxSR>180.0</maxSR><maxRecords>50000</maxRecords><verbosity>true</verbosity><testQuery><ra>286.8084914</ra><dec>49.3164142</dec><sr>0.005555555555555556</sr></testQuery></capability><coverage><spatial>4/922 933-935 945 5/3645-3647 3683 3693-3695 3704 3706 3729-3731 3776-3778 3785-3789 3792 6/14567 14573 14575 14578-14579 14730-14731 14738 14744 14746 14750-14751 14768-14770 14792 14794-14795 14828 14830 14914-14915 15040-15041 15043-15045 15057 15059-15062 15116 15118-15119 15136-15137 15139 15160 15172-15174 15176 15178 15200 15232</spatial><footprint ivo-id="ivo://ivoa.net/std/moc">https://cdsarc.cds.unistra.fr/viz-bin/moc/J/MNRAS/474/2094?format=ascii</footprint></coverage><tableset><schema><name>default</name><table><name>J/MNRAS/474/2094/table5</name><description>Rotation periods and Kepler input catalogue (KIC) properties for 1102 Kepler objects of interest</description><column><name>SimbadName</name><description>Simbad column added by the CDS</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType" arraysize="8*">char</dataType></column><column><name>KOI</name><description>KOI number</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><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>[Fe/H]</name><description>? KIC metallicity</description><ucd>phys.abund.Z</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>e_[Fe/H]</name><description>? Lower uncertainty on the KIC metallicity</description><ucd>stat.error;phys.abund.Fe</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>E_[Fe/H]</name><description>? Upper uncertainty on the KIC metallicity</description><ucd>stat.error;stat.max</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>logg</name><description>? KIC surface gravity</description><unit>log(cm.s**-2)</unit><ucd>phys.gravity</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>e_logg</name><description>? Lower uncertainty on the KIC surface gravity</description><unit>log(cm.s**-2)</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>E_logg</name><description>? Upper uncertainty on the KIC surface gravity</description><unit>log(cm.s**-2)</unit><ucd>stat.error;stat.max</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>Per</name><description>Stellar rotation period</description><unit>d</unit><ucd>time.period</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_Per</name><description>Lower uncertainty on the stellar rotation period</description><unit>d</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>E_Per</name><description>Upper uncertainty on the stellar rotation period</description><unit>d</unit><ucd>stat.error;stat.max</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>Teff</name><description>? KIC effective temperature</description><unit>K</unit><ucd>phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>e_Teff</name><description>? Lower uncertainty on the KIC effective temperature</description><unit>K</unit><ucd>stat.error;phys.temperature.effective</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>E_Teff</name><description>? Upper uncertainty on the KIC effective temperature</description><unit>K</unit><ucd>stat.error;stat.max</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>_RA</name><description>Right Ascension (J2000) from SIMBAD (not part of the original data)</description><unit>deg</unit><ucd>pos.eq.ra;meta.main</ucd></column><column><name>_DE</name><description>Declination (J2000) from SIMBAD (not part of the original data)</description><unit>deg</unit><ucd>pos.eq.dec;meta.main</ucd></column></table></schema></tableset></ri:Resource>