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<ri:Resource created="2023-09-29T08:05:01Z" 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>New rotation periods of 67163 Kepler stars</title><shortName>J/A+A/678/A24</shortName><identifier>ivo://CDS.VizieR/J/A+A/678/A24</identifier><altIdentifier>doi:10.26093/cds/vizier.36780024</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Reinhold T.</name></creator><creator><name>Shapiro A.I.</name></creator><creator><name>Solanki S.K. and Basri G.</name></creator><date role="Updated">2024-11-06T20:06:10Z</date><date role="Created">2023-09-29T08:05:01Z</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>variable-stars</subject><subject>visible-astronomy</subject><description>The Kepler space telescope leaves a legacy of tens of thousands of stellar rotation period measurements. While many of these stars show strong periodicity, there exists an even bigger fraction of stars with irregular variability for which rotation periods are rarely visible or in most cases unknown. As a consequence, many stellar activity studies might be strongly biased toward the behavior of more active stars, for which rotation periods have been determined. To at least partially lift this bias, we apply a new method capable of determining rotation periods of stars with irregular light curve variability. This effort greatly increases the number of stars with well-determined periods, especially for stars with small variabilities similar to that of the Sun. To achieve this goal, we employ a novel method based on the Gradient of the Power Spectrum (GPS). The maximum of the gradient corresponds to the position of the inflection point (IP), i.e., the point where the curvature of the high-frequency tail of the power spectrum changes its sign. It was shown previously that the stellar rotation period Prot is linked to the inflection point period P_IP_) by the simple equation Prot=P_IP_/alpha, where alpha is a calibration factor. The GPS method is superior to classical methods (such as auto-correlation functions (ACF)) because it does not require a repeatable variability pattern in the time series, making it an ideal tool for detecting periods of stars with very short-lived spots. From the initial sample of 142168 stars with effective temperatures Teff&lt;=6500K and logg&gt;=4.0 in the Kepler archive, we could measure rotation periods for 67163 stars by combining the GPS and the ACF method. We further report the first determination of a rotation period for 20,397 stars. The GPS periods show good agreement with previous period measurements using classical methods, where these are available. Furthermore, we show that the scaling factor alpha increases for very cool stars with effective temperatures below 4000K, which we interpret as spots located at higher latitudes. We conclude that new techniques (such as the GPS method) must be applied to detect rotation periods of stars with small and more irregular variabilities. Ignoring these stars will distort the overall picture of stellar activity and, in particular, solar-stellar comparison studies.</description><source format="bibcode">2023A&amp;A...678A..24R</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/678/A24</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><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/211/24">J/ApJS/211/24 : Rotation periods of Kepler MS stars (McQuillan+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/255/17">J/ApJS/255/17 : Kepler stars surface rotation + activity. II. 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