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<ri:Resource created="2013-10-28T10:22:27Z" status="active" updated="2025-05-19T09:50:00Z" 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>Potential of the finite Mestel disk</title><shortName>J/ApJ/747/106</shortName><identifier>ivo://CDS.VizieR/J/ApJ/747/106</identifier><altIdentifier>doi:10.26093/cds/vizier.17470106</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Schulz E.</name></creator><date role="Updated">2017-06-20T13:15:56Z</date><date role="Created">2013-10-28T10:22:27Z</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>astronomical-models</subject><description>Mestel determined the surface mass distribution of the finite disk for which the circular velocity is constant in the disk and found the gravitational field for points in the z=0 plane. Here we find the exact closed form solutions for the potential and the gravitational field of this disk in cylindrical coordinates over all the space. The finite Mestel disk (FMD) is characterized by a cuspy mass distribution in the inner disk region and by an exponential distribution in the outer region of the disk. The FMD is quite different from the better known exponential disk or the untruncated Mestel disk which, being infinite in extent, are not realistic models of real spiral galaxies. In particular, the FMD requires significantly less mass to explain a measured velocity curve.</description><source format="bibcode">2012ApJ...747..106S</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/747/106</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</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/ApJ/747/106</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJ/747/106</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJ/747/106</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJ/747/106</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJ/747/106</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJ/747/106</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/ApJ/747/106/mestel</name><description>Normalized values of the potential {Phi} , radial force F_r_ and axial force F_z_ of the finite Mestel disk (FMD) with the cylindrical coordinates (r,z)</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>z</name><description>[0/5] The scale height (G1)</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>r</name><description>[0/5] The radial coordinate (G1)</description><ucd>spect.dopplerVeloc</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>Phi</name><description>[-5.8/-0.1]? The potential {Phi} of the Mestel disk (1)</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>Fr</name><description>[-31.5/0]? The radial force of the Mestel disk (G2)</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column><column><name>Fz</name><description>[-30.5/0]? The axial force of the Mestel disk (G2)</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType><flag>nullable</flag></column></table></schema></tableset></ri:Resource>