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<ri:Resource created="2019-12-27T14:29:36Z" status="active" updated="2025-06-13T15:25:00Z" 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>Machine-learning investigation of the open cluster M67</title><shortName>J/ApJ/869/9</shortName><identifier>ivo://CDS.VizieR/J/ApJ/869/9</identifier><altIdentifier>doi:10.26093/cds/vizier.18690009</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Gao X.</name></creator><date role="Updated">2020-02-04T10:08:48Z</date><date role="Created">2019-12-27T14:29:36Z</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>open-star-clusters</subject><subject>proper-motions</subject><subject>two-color-diagrams</subject><subject>visible-astronomy</subject><subject>trigonometric-parallax</subject><subject>narrow-band-photometry</subject><description>In this paper, we use a machine-learning method, random forest (RF), to identify reliable members of the old (4Gyr) open cluster M67 based on the high-precision astrometry and photometry taken from the second Gaia data release (Gaia-DR2). The RF method is used to calculate membership probabilities of 71117 stars within 2.5{deg} of the cluster center in an 11-dimensional parameter space, the photometric data are also taken into account. Based on the RF membership probabilities, we obtain 1502 likely cluster members (&gt;=0.6), 1361 of which are high-probability cluster members (&gt;=0.8). Based on high-probability memberships with high-precision astrometric data, the mean parallax (distance) and proper-motion of the cluster are determined to be 1.1327+/-0.0018mas (883+/-1pc) and (&lt;{mu}_{alpha}_cos{delta}&gt;,&lt;{mu}_{delta}_&gt;)=(-10.9378+/-0.0078,-2.9465 +/-0.0074)mas/yr, respectively. We find the cluster to have a mean radial velocity of +34.06+/-0.09km/s, using 74 high-probability cluster members with precise radial-velocity measures. We investigate the spatial structure of the cluster, the core and limiting radius are determined to be 4.80'+/-0.11' (~1.23+/-0.03pc) and 61.98'+/-1.50' (~15.92+/-0.39pc), respectively. Our results reveal that an escaped member with high membership probability (~0.91) is located at a distance of 77' (~20pc) from the cluster center. Furthermore, our results reveal that at least 26.4% of the main-sequence stars in M67 are binary stars. We confirm that significant mass segregation has taken place within M67.</description><source format="bibcode">2018ApJ...869....9G</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/869/9</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/I/337">I/337 : Gaia DR1 (Gaia Collaboration, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/I/345">I/345 : Gaia DR2 (Gaia Collaboration, 2018)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/112/628">J/AJ/112/628 : BATC Color Survey of M67 (Fan+ 1996)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/376/441">J/A+A/376/441 : Absolute proper motions of 112 open clusters (Dias+, 2001)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/381/464">J/A+A/381/464 : Proper motions and membership in NGC 2548 (Wu+, 2002)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/388/168">J/A+A/388/168 : Absolute proper motions of 93 open clusters (Dias+, 2002)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/347/101">J/MNRAS/347/101 : Precision colour-magnitude diagram of M67 (Sandquist, 2004)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/470/585">J/A+A/470/585 : NGC 2682 uvby-Hbeta photometry (Balaguer-Nunez+, 2007)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/484/609">J/A+A/484/609 : BVI photometry and proper motions in M67 (Yadav+, 2008)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/511/A56">J/A+A/511/A56 : Abundances of five open clusters (Pancino+, 2010)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/414/2602">J/MNRAS/414/2602 : Automated classification of HIP variables (Dubath+, 2011)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/424/2832">J/MNRAS/424/2832 : Pulsars in {gamma}-ray sources (Lee+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/545/A139">J/A+A/545/A139 : Radial Velocities of stars observed in M67 (Pasquini+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/558/A53">J/A+A/558/A53 : Milky Way survey of star clusters. II. (Kharchenko+,2013)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/563/A45">J/A+A/563/A45 : Pleiades cluster membership probabilities (Sarro+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/564/A79">J/A+A/564/A79 : Proper motions of open clusters from UCAC4 (Dias+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/584/A44">J/A+A/584/A44 : Photometric classification QSO from RCS-2 (Carrasco+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/150/97">J/AJ/150/97 : Rad-velocities M67. I. 1278 candidate members (Geller+,2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/809/161">J/ApJ/809/161 : X-ray obs. and membership probabilities M37 (Nunez+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/813/28">J/ApJ/813/28 : Autoclassification of variable 3XMM sources (Farrell+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/other/PASA/32.36">J/other/PASA/32.36 : lambda Boo star membership evaluations (Murphy+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/456/3757">J/MNRAS/456/3757 : Open-cluster density profiles (Seleznev, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/MNRAS/463/696">J/MNRAS/463/696 : M67 solar twins chemical compositions (Liu+, 2016)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/601/A19">J/A+A/601/A19 : Gaia DR1 open cluster members (Gaia Collaboration+, 2017)</relatedResource><relatedResource 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