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<ri:Resource created="2017-11-27T14:00:32Z" status="active" updated="2025-06-13T15:25:00Z" version="1.2" 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/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>Simulation data for 50 planetary model systems</title><shortName>J/MNRAS/448/1044</shortName><identifier>ivo://CDS.VizieR/J/MNRAS/448/1044</identifier><altIdentifier>doi:10.26093/cds/vizier.74481044</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Hansen B.M.S.</name></creator><creator><name>Murray N.</name></creator><date role="Updated">2024-08-14T20:19:52Z</date><date role="Created">2017-11-27T14:00:32Z</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>solar-system-planets</subject><subject>stellar-evolutionary-models</subject><description>We describe the long-term evolution of compact systems of terrestrial planets, using a set of simulations that match the statistical properties of the observed exoplanet distribution. The evolution is driven by tidal dissipation in the planetary interiors, but the systems evolve as a whole due to secular gravitational interactions. We find that, for Earth-like dissipation levels, planetary orbits can be circularized out to periods ~100 d, an order of magnitude larger than is possible for single planets. The resulting distribution of eccentricities is a qualitative match to that inferred from transit timing variations, with a minority of non-zero eccentricities maintained by particular secular configurations. The coupling of the tidal and secular processes enhance the inward migration of the innermost planets in these systems, and can drive them to short orbital periods. Resonant interactions of both the mean motion and secular variety are observed, although the interactions are not strong enough to drive systemic instability in most cases. However, we demonstrate that these systems can easily be driven unstable if coupled to giant planets on longer period orbits.</description><source format="bibcode">2015MNRAS.448.1044H</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/MNRAS/448/1044</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>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/116/1998">J/AJ/116/1998 : Outer planetary systems (Levison+, 1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/AJ/151/59">J/AJ/151/59 : Catalog of Earth-Like Exoplanet Survey Targets</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/448/1044</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/MNRAS/448/1044</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/MNRAS/448/1044</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/MNRAS/448/1044</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/MNRAS/448/1044</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/MNRAS/448/1044</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><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/MNRAS/448/1044/tablea1</name><description>Initial Conditions for each of the 50 model systems</description><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>Model</name><description>[1/50] Model system number</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Num</name><description>[1/10] Condition number</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>a</name><description>Semi-major axis, in AU</description><unit>AU</unit><ucd>phys.size.smajAxis</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>M</name><description>Planet mass, in earth mass</description><unit>(5.97236x10+24kg)</unit><ucd>phys.mass;pos.earth;pos.eop</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>&lt;e&gt;</name><description>Eccentricity &lt;e^2^&gt;^1/2^ (1)</description><ucd>src.orbital.eccentricity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>omega</name><description>Longitude of periastron {omega}</description><unit>deg</unit><ucd>src.orbital.periastron</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>&lt;i&gt;</name><description>Inclination &lt;i^2^&gt;^1/2^ (1)</description><unit>deg</unit><ucd>src.orbital.inclination</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Omega</name><description>Longitude of ascending node {Omega}</description><unit>deg</unit><ucd>src.orbital.node</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>emode</name><description>Indicates to which eccentricity oscillation mode(s) each planet is strongly coupled (2)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType" arraysize="14*">char</dataType></column></table><table><name>J/MNRAS/448/1044/tablea2</name><description>Final conditions of model systems shown in Table A1, after 10^10^ yr of evolution with Q'_p_=10</description><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>Model</name><description>[1/50] Model system number</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Num</name><description>[1/10] Condition number</description><ucd>meta.id</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>a</name><description>Semi-major axis, in AU</description><unit>AU</unit><ucd>phys.size.smajAxis</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>M</name><description>Planet mass, in earth mass</description><unit>(5.97236x10+24kg)</unit><ucd>phys.mass;pos.earth;pos.eop</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>&lt;e&gt;</name><description>Eccentricity &lt;e^2^&gt;^1/2^ (1)</description><ucd>src.orbital.eccentricity</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>omega</name><description>Longitude of periastron {omega}</description><unit>deg</unit><ucd>src.orbital.periastron</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>&lt;i&gt;</name><description>Inclination &lt;i^2^&gt;^1/2^ (1)</description><unit>deg</unit><ucd>src.orbital.inclination</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Omega</name><description>Longitude of ascending node {Omega}</description><unit>deg</unit><ucd>src.orbital.node</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>emode</name><description>Indicates to which eccentricity oscillation mode(s) each planet is strongly coupled (2)</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType" arraysize="14*">char</dataType></column></table></schema></tableset></ri:Resource>