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<ri:Resource created="2023-04-19T08:43:51Z" 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>Mass-ratio distribution of contact binary stars</title><shortName>J/A+A/672/A176</shortName><identifier>ivo://CDS.VizieR/J/A+A/672/A176</identifier><altIdentifier>doi:10.26093/cds/vizier.36720176</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Pesta M.</name></creator><creator><name>Pejcha O.</name></creator><date role="Updated">2024-11-28T20:02:57Z</date><date role="Created">2023-04-19T08:43:51Z</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>eclipsing-binary-stars</subject><subject>astronomical-models</subject><subject>photometry</subject><subject>visible-astronomy</subject><description>The mass ratio q of a contact binary star evolves due to mass transfer, magnetic braking, and thermal relaxation oscillations to small values until it crosses a critical threshold q_min_. When that happens, the binary undergoes the tidal Darwin instability, leading to a rapid coalescence of the components and observable brightening of the system. So far, the distribution of $q$ has not been measured on a sufficiently large population of contact binary stars, because the determination of q for a single contact binary usually requires spectroscopy. But as was shown previously, it is possible to infer the mass-ratio distribution of the entire population of contact binaries from the observed distribution of their light curve amplitudes. Employing Bayesian inference, we obtain a sample of contact binary candidates from the Kepler Eclipsing Binary Catalog combined with data from Gaia and estimates of effective temperatures. We assign to each candidate a probability of being a contact binary of either late or early type. Overall, our sample includes about 300 late-type and 200 early-type contact binary candidates. We model the amplitude distribution assuming that mass ratios are described by a power law with an exponent $b$ and a cut off at q_min_. We find q_min_=0.087^+0.024^_-0.015_ for late-type contact binaries with periods longer than 0.3 days. For late-type binaries with shorter periods, we find q_min_=0.246^+0.029^_-0.046_, but the sample is small. For early type contact binary stars with periods shorter than 1 day, we obtain q_min_=0.030^+0.018^_-0.022_. These results indicate a dependence of q_min_ on the structure of the components and are broadly compatible with previous theoretical predictions. We do not find any clear trends in b. Our method can be easily extended to large samples of contact binaries from TESS and other space-based surveys.</description><source format="bibcode">2023A&amp;A...672A.176P</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/672/A176</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/IV/34">IV/34 : K2 Ecliptic Plane Input Catalog (EPIC) (Huber+, 2017)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/151/68">J/AJ/151/68 : Kepler Eclipsing Binary Catalog - Third 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