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<ri:Resource created="2025-01-07T09:13:18Z" 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>Radii, masses, and TTVs of TOI-396</title><shortName>J/A+A/693/A90</shortName><identifier>ivo://CDS.VizieR/J/A+A/693/A90</identifier><altIdentifier>doi:10.26093/cds/vizier.36930090</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Bonfanti A.</name></creator><creator><name>Amateis I.</name></creator><creator><name>Gandolfi D.</name></creator><creator><name>Borsato L.</name></creator><creator><name>Egger J.A.</name></creator><creator><name>Cubillos P.E.,Armstrong D.</name></creator><creator><name>Leao I.C.</name></creator><creator><name>Fridlund M.</name></creator><creator><name>Canto Martins B.L.</name></creator><creator><name>Sousa S.G.,De Medeiros J.R.</name></creator><creator><name>Fossati L.</name></creator><creator><name>Adibekyan V.</name></creator><creator><name>Collier Cameron A.</name></creator><creator><name>Grziwa S.,Lam K.W.F.</name></creator><creator><name>Goffo E.</name></creator><creator><name>Nielsen L.D.</name></creator><creator><name>Rodler F.</name></creator><creator><name>Alarcon J.</name></creator><creator><name>Lillo-Box J.,Cochran W.D.</name></creator><creator><name>Luque R.</name></creator><creator><name>Redfield S.</name></creator><creator><name>Santos N.C.</name></creator><creator><name>Barros S.C.C.</name></creator><creator><name>Bayliss D.,Dumusque X.</name></creator><creator><name>Keniger M.A.F.</name></creator><creator><name>Livingston J.</name></creator><creator><name>Murgas F.</name></creator><creator><name>Nowak G.</name></creator><creator><name>Osborn A.,Osborn H.P.</name></creator><creator><name>Palle E.</name></creator><creator><name>Persson C.M.</name></creator><creator><name>Serrano L.M.</name></creator><creator><name>Strom P.A.</name></creator><creator><name>Udry S.,Wheatley P.J.</name></creator><date role="Updated">2025-03-03T20:01:53Z</date><date role="Created">2025-01-07T09:13:18Z</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>exoplanets</subject><subject>photometry</subject><subject>radial-velocity</subject><subject>visible-astronomy</subject><description>TOI-396 is an F6 V, bright, naked-eye star (V~6.4) orbited by three transiting small (R_p_~2R_{sun}_) planets discovered thanks to space-based photometry from 2 TESS sectors. The orbital periods of the two innermost planets, namely TOI-396 b and c, are close to the 5:3 commensurability (P_b_~3.6d and P_c_~6.0d), suggesting that the planets might be trapped in a mean motion resonance (MMR) To measure the masses of the three planets, refine their radii, and investigate whether planets b and c are in MMR, we carried out HARPS radial velocity (RV) observations of TOI-396 and retrieved archival high-precision transit photometry from 4 TESS sectors. We extracted the RVs via a skew-normal fit onto the \harps cross correlation functions and performed a Markov chain Monte Carlo joint analysis of the Doppler measurements and transit photometry, while employing the breakpoint method to remove stellar activity from the RV time series. We also performed a transit timing variation (TTV) dynamical analysis of the system and simulated the temporal evolution of the TTV amplitudes of the three planets following an N-body numerical integration. Our analysis confirms that the three planets have similar sizes (R_b_=2.004_-0.047_^+0.045^R_{sun}_; R_c_=1.979_-0.051_^+0.054^R_{sun}_; R_d_=2.001_-0.064_^+0.063^R_{sun}_), in agreement with previous findings. Notably, our measurements are ~1.4 times more precise, thanks to the use of two additional TESS sectors. For the first time, we determine RV masses for TOI-396 b and d, and find them to be M_b_=3.55_-0.96_^+0.94^M_{sun}_ and M_d_=7.1+/-1.6M_{sun}_, implying bulk densities of rho_b_=2.44_-0.68_^+0.69^g/cm^3^ and rho_d_=4.9_-1.1_^+1.2^g/cm^3^, respectively. Our results suggest a quite unusual system architecture, with the outermost planet being the densest. Based on a frequency analysis of the HARPS activity indicators and TESS light curves, we find the rotation period of the star to be Prot=6.7+/-1.3d, in agreement with the value predicted from logR'_HK_-based empirical relations. The Doppler reflex motion induced by TOI-396 c remains undetected in our RV time series, likely due to the proximity of the planet's orbital period to the star's rotation period. We also discovered that TOI-396 b and c display significant TTVs. While the TTV dynamical analysis returns a formally precise mass for TOI-396 c of M_c,dyn_=2.24^+0.13^_-0.67_M_{sun}_, the result might not be accurate, owing to the poor sampling of the TTV phase. We also conclude that TOI-396 b and c are close to-, but out of- the 5:3 MMR. A TTV dynamical analysis of additional transit photometry evenly covering the TTV phase and super-period is likely the most effective approach for precisely and accurately determining the mass of TOI-396 c. Our numerical simulation suggests TTV semi-amplitudes of up to 5 hours over a temporal baseline of ~5.2 years, which should be duly taken into account when scheduling future observations of TOI-396.</description><source format="bibcode">2025A&amp;A...693A..90B</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/693/A90</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/A+A/693/A90</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/693/A90</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/693/A90</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/693/A90</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/693/A90</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/693/A90</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/693/A90/tablea1</name><description>RV time series extracted from HARPS</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>BJD</name><description>Observation time (TDB) (BJD-2450000)</description><ucd>time.epoch</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>RV</name><description>Radial velocity as extracted from the SN fit onto the CCFs</description><unit>m/s</unit><ucd>phys.veloc;pos.heliocentric</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_RV</name><description>Error on the radial velocity</description><unit>m/s</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>FWHMSN</name><description>FWHM of the fitted skew-Normal function</description><unit>km/s</unit><ucd>spect.line.width</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>A</name><description>Contrast of the fitted skew-Normal function</description><unit>%</unit><ucd>phot.flux;arith.ratio</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>gamma</name><description>Skewness of the fitted skew-Normal function</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>RVd</name><description>Detrended Radial velocity</description><unit>m/s</unit><ucd>phys.veloc;pos.heliocentric</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>e_RVd</name><description>Errors on the detrended radial velocity (jitter included)</description><unit>m/s</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column></table><table><name>J/A+A/693/A90/tablea2</name><description>Polynomial detrending applied to TESS LCs</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>LC-ID</name><description>TESS LC identifier</description><ucd>meta.id;meta.file</ucd><dataType xsi:type="vs:VOTableType" arraysize="5*">char</dataType></column><column><name>Planet</name><description>Planet(s) transiting in that LC</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="5*">char</dataType></column><column><name>Detrend</name><description>Polynomials applied for detrending the LCs</description><ucd>stat.fit.param</ucd><dataType xsi:type="vs:VOTableType" arraysize="18*">char</dataType></column></table><table><name>J/A+A/693/A90/tablea3</name><description>Transit timings and TTVs</description><column><name>recno</name><description>Record number assigned by the VizieR team. 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