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<ri:Resource created="2026-03-16T10:29:07Z" status="active" updated="2026-03-16T09:30:35Z" 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>Lightcurve inversion modeling with GaiaDR3</title><shortName>J/A+A/707/A131</shortName><identifier>ivo://CDS.VizieR/J/A+A/707/A131</identifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>MacLennan E.M.</name></creator><creator><name>Pentikaeinen H.</name></creator><creator><name>Uvarova E.</name></creator><creator><name>Muinonen K.</name></creator><creator><name>Penttilae A.,Wilawer E.</name></creator><creator><name>Oszkiewicz D.A.</name></creator><creator><name>Cellino A.</name></creator><creator><name>Tanga P.</name></creator><creator><name>Wang X.</name></creator><creator><name>Virkki A.</name></creator><date role="Updated">2026-03-16T09:30:35Z</date><date role="Created">2026-03-16T10:29:07Z</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>solar-system</subject><subject>asteroids</subject><subject>photometry</subject><subject>visible-astronomy</subject><description>The third Gaia data release (DR3) contains high-precision, sparse-in-time brightness measurements of over 150000 asteroids. We employed a light-scattering inversion technique to estimate the rotation periods, spin pole orientations, shapes, and photometric phase function parameters (slope and absolute magnitude) of over 8000 asteroids based solely on DR3 photometry. Using triaxial ellipsoid and convex shapes, we sought the best-fit shape, spin, and linear slope, along with their uncertainties, via a Markov chain Monte Carlo sampling technique. We also fit HG12 and HG1G2 phase functions from predicted brightnesses derived from the fit shapes. Using previously reported diameters, the Gaia G-band geometric albedos were calculated. Variations in the spin and shape properties were assessed among various families and background populations of the Main Belt. We found that for the vast majority of our objects the best-fit ellipsoid spin poles are comparable to that of a convex shape. We rejected 15% of convex shapes and used the acceptable solutions to investigate differences in the shape distribution of families in the Main Belt. Revisiting the amplitude phase relationship, we found a strong dependence on the shape b/a elongation. The Bond albedo was calculated from the phase integral and shown to correlate well with the G12 slope parameter and known taxonomic classifications. The G-band absolute magnitudes and geometric albedos are systematically fainter than V-band values. The assumption of ellipsoid shape for sparse datasets is sufficient for estimating the spin pole longitude and latitude. We find no correlation between the shapes and spins of main-belt asteroid families and their ages. Absolute magnitudes and phase functions derived from Gaia photometry should be favored over the V band when estimating the solar energy budget, such as in thermal modeling applications. Asteroid taxonomies can be assessed to some degree from the photometric slopes and albedos.</description><source format="bibcode">2026A&amp;A...707A.131M</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/707/A131</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/I/359">I/359 : Gaia DR3 Part 5: Solar System (Gaia Collaboration, 2022)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/707/A132">J/A+A/707/A132 : Taxonomic classification of asteroids (Pentikainen+, 2026)</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/A+A/707/A131</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/707/A131</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/707/A131</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/707/A131</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/707/A131</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/707/A131</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"/><waveband>Optical</waveband></coverage><tableset><schema><name>default</name><table><name>J/A+A/707/A131/tableb1</name><description>Inversion results from modeling of Gaia DR3 photometry for ellipsoid shape assumption</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>GaiaDR3</name><description>Display the Gaia DR3 Solar System objects (Cat. I/359) data for this object</description><ucd>meta.ref.url</ucd><dataType xsi:type="vs:VOTableType" arraysize="*">char</dataType></column><column><name>Number</name><description>Asteroid number</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Prot</name><description>Rotation period</description><unit>h</unit><ucd>time.period</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_Prot</name><description>Uncertainty in rotation period</description><unit>h</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>lambda</name><description>Spin axis ecliptic longitude</description><unit>deg</unit><ucd>pos.ecliptic.lon</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_lambda</name><description>Uncertainty in spin axis longitude</description><unit>deg</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>beta</name><description>Spin axis ecliptic latitude</description><unit>deg</unit><ucd>pos.ecliptic.lat</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_beta</name><description>Uncertainty in spin latitude</description><unit>deg</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>b/a</name><description>b to a axis ratio (1)</description><ucd>phys.angSize;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_b/a</name><description>? Uncertainty in b to a</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>c/a</name><description>c to a axis ratio (1)</description><ucd>phys.size.axisRatio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_c/a</name><description>? Uncertainty in c to a</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>beta0</name><description>Photometric slope</description><unit>mag/rad</unit><ucd>meta.cryptic</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_beta0</name><description>Uncertainty in photometric slope</description><unit>mag/rad</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>HGaia</name><description>Absolute magnitude</description><unit>mag</unit><ucd>phys.magAbs</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_HGaia</name><description>Uncertainty in absolute magnitude</description><unit>mag</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>rms</name><description>Root mean square of the fit</description><unit>mag</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>AIC</name><description>Akaike Information Criterion</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/A+A/707/A131/tableb2</name><description>Inversion results from modeling of Gaia DR3 photometry for convex shape assumption</description><column><name>c/acxi</name><description>? c to a axis ratio of ellipsoid fitted to convex shape</description><ucd>phys.size.axisRatio;meta.modelled</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><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>GaiaDR3</name><description>Display the Gaia DR3 Solar System objects (Cat. 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Uncertainty in G12 (1)</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>HGaia</name><description>Gaia absolute magnitude</description><unit>mag</unit><ucd>phys.magAbs</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_HGaia</name><description>Uncertainty in Gaia absolute magnitude</description><unit>mag</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>dHG12a</name><description>Transformation to HG12* absolute magnitude</description><unit>mag</unit><ucd>phys.magAbs</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>G1</name><description>G1 slope parameter from HG1G2 phase function</description><ucd>meta.cryptic</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_G1</name><description>? Uncertainty in G1 (1)</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>G2</name><description>G2 slope parameter from HG1G2 phase function</description><ucd>meta.cryptic</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_G2</name><description>? Uncertainty in G2 (1)</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>q</name><description>Phase integral computed from G1 and G2</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_q</name><description>Uncertainty in phase integral</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>pGaia</name><description>? Gaia geometric albedo computed from diameter (if available)</description><ucd>phys.albedo</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>e_pGaia</name><description>? Uncertainty in Gaia geometric albedo</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>A</name><description>? Bond albedo computed from q and pGaia (if available)</description><ucd>phys.albedo</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>e_A</name><description>? Uncertainty in Bond albedo</description><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>rms</name><description>root mean square of the fit</description><unit>mag</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>AIC</name><description>Akaike Information Criterion</description><ucd>meta.code</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>b/acxi</name><description>? b to a axis ratio of ellipsoid fitted to convex shape</description><ucd>phys.size.axisRatio;meta.modelled</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column></table></schema></tableset></ri:Resource>