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<ri:Resource created="2021-12-20T08:11:39Z" 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>Mars moon ephemerides for 14yrs Mars Express data</title><shortName>J/A+A/650/A64</shortName><identifier>ivo://CDS.VizieR/J/A+A/650/A64</identifier><altIdentifier>doi:10.26093/cds/vizier.36500064</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Lainey V.</name></creator><creator><name>Pasewaldt A.</name></creator><creator><name>Robert V.</name></creator><creator><name>Rosenblatt P.</name></creator><creator><name>Jaumann R.</name></creator><creator><name>Oberst J.,Roatsch T.</name></creator><creator><name>Willner K.</name></creator><creator><name>Ziese R.</name></creator><creator><name>Thuillot W.</name></creator><date role="Updated">2022-03-17T14:12:25Z</date><date role="Created">2021-12-20T08:11:39Z</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>solar-system-planets</subject><subject>ephemerides</subject><description>The Mars Express (MEX) mission has been successfully operated around Mars since 2004. Among many results, MEX has provided some of the most accurate astrometric data of the two Mars moons, Phobos and Deimos. We present new ephemerides of the Mars moons benefitting from all previously published astrometric data to the most recent MEX SRC data. Observations from 1877 until 2018 and including spacecraft measurements from Mariner 9 to MEX were included. Assuming a homogeneous interior, we fitted the forced libration amplitude of Phobos simultaneously with the Martian tidal k2/Q ratio and the initial state of the moons. Our solution of the physical libration 1.09+/-0.01 degrees deviates notably from the homogeneous solution. Considering the very low error bar, however, this may essentially suggest the necessity to consider higher order harmonics with an improved rotation model in the future. While most data could be successfully fitted, we found a disagreement between the Mars Reconnaissance Orbiter and the Mars Express astrometric data at the kilometer level, probably associated with a biased phase correction. The current solution precision is expected at the level of a few hundred meters for Phobos and several hundred meters for Deimos for the coming years. The real accuracy of our new ephemerides will have to be confirmed by comparison with independent observational means.</description><source format="bibcode">2021A&amp;A...650A..64L</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/650/A64</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/A+A/488/361">J/A+A/488/361 : Phobos Mars Express astrometric observations (Willner+, 2008)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/545/A144">J/A+A/545/A144 : Astrometric observations of Deimos (Pasewaldt+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/572/A104">J/A+A/572/A104 : Astrometric obs. of Phobos and Deimos in 1971 (Robert+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/580/A28">J/A+A/580/A28 : Astrometric observations of Phobos (Pasewaldt+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/582/A36">J/A+A/582/A36 : USNO Martian observations (Robert+, 2015)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/614/A15">J/A+A/614/A15 : Mars Express astrometric obs. of Martian moons (Ziese+, 2018)</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/650/A64</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/650/A64</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/650/A64</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/650/A64</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/650/A64</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/650/A64</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/A+A/650/A64/table2</name><description>Mean and standard deviation on separation and position angle</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>Obs</name><description>Observations (1)</description><ucd>meta.code;obs</ucd><dataType xsi:type="vs:VOTableType" arraysize="84*">char</dataType></column><column><name>Sep</name><description>[] Mean separation</description><unit>arcsec</unit><ucd>pos.angDistance;src.orbital</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_Sep</name><description>Standard deviation on separation</description><unit>arcsec</unit><ucd>stat.stdev;pos.angDistance</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>PA</name><description>[] Mean position angle (multiplied by the separation)</description><unit>arcsec</unit><ucd>pos.posAng;stat.mean</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_PA</name><description>Standard deviation on position angle</description><unit>arcsec</unit><ucd>stat.stdev;pos.posAng</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>o_Sep</name><description>Number of observations by satellite for separation</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>o_PA</name><description>Number of observations by satellite for position angle</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Sat</name><description>Satellite, Phobos or Deimos</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/650/A64/table3</name><description>Mean and standard deviation on right ascension and declination for each satellite</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>Obs</name><description>Observations</description><ucd>meta.code;obs</ucd><dataType xsi:type="vs:VOTableType" arraysize="84*">char</dataType></column><column><name>RAcosDE</name><description>Mean right ascension, RA*cosDE</description><unit>arcsec</unit><ucd>pos.eq.ra;stat.mean</ucd></column><column><name>s_RAcosDE</name><description>Standard deviation on right ascension (RA*cosDE)</description><unit>arcsec</unit><ucd>stat.stdev;pos.eq.ra</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>DE</name><description>Mean declination</description><unit>arcsec</unit><ucd>pos.eq.dec;arith.diff</ucd></column><column><name>s_DE</name><description>Standard deviation on declination</description><unit>arcsec</unit><ucd>stat.stdev;pos.eq.dec</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>o_RAcosDE</name><description>Number of observations by satellite for RAcosDE</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>o_DE</name><description>Number of observations by satellite for DE</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Sat</name><description>Satellite, Phobos or Deimos</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/650/A64/table4</name><description>*Mean and standard deviation on right ascension and declination for each satellite</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>Obs</name><description>Observations</description><ucd>meta.code;obs</ucd><dataType xsi:type="vs:VOTableType" arraysize="84*">char</dataType></column><column><name>RAcosDE</name><description>Mean right ascension, RA*cosDE</description><unit>arcsec</unit><ucd>pos.eq.ra;stat.mean</ucd></column><column><name>s_RAcosDE</name><description>Standard deviation on right ascension (RA*cosDE)</description><unit>arcsec</unit><ucd>stat.stdev;pos.eq.ra</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>DE</name><description>Mean declination</description><unit>arcsec</unit><ucd>pos.eq.dec;arith.diff</ucd></column><column><name>s_DE</name><description>Standard deviation on declination</description><unit>arcsec</unit><ucd>stat.stdev;pos.eq.dec</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>o_RAcosDE</name><description>Number of observations by satellite for RAcosDE</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>o_DE</name><description>Number of observations by satellite for DE</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Sat</name><description>Satellite, Phobos or Deimos</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/650/A64/table5</name><description>Mean and standard deviation on and line in pixel and kilometer for each satellite</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>Obs</name><description>Observations (1)</description><ucd>meta.code;obs</ucd><dataType xsi:type="vs:VOTableType" arraysize="12*">char</dataType></column><column><name>samplep</name><description>Mean on sample in pixel</description><unit>pix</unit><ucd>phys.size.diameter</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>samplek</name><description>Mean on sample in kilometer</description><unit>km</unit><ucd>phys.size.diameter</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_samplep</name><description>Standard deviation on sample in pixel</description><unit>pix</unit><ucd>stat.stdev;src.sample;instr.pixel</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_samplek</name><description>Standard deviation on sample in kilometer</description><unit>km</unit><ucd>stat.stdev;src.sample</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>linep</name><description>Mean line in pixel</description><unit>pix</unit><ucd>phys.size.diameter</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>linek</name><description>Mean line in kilometer</description><unit>km</unit><ucd>phys.size.diameter</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_linep</name><description>Standard deviation on line in pixel</description><unit>pix</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>s_linek</name><description>Standard deviation on line in kilometer</description><unit>km</unit><ucd>stat.stdev;spect.line</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>o_sample</name><description>Number of observation for sample</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>o_line</name><description>Number of observation for line</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Sat</name><description>Satellite, Phobos or Deimos</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column></table><table><name>J/A+A/650/A64/table6</name><description>*Initial conditions and related uncertainties of Phobos and Deimos in the ICRF after fit at initial epoch J2000 (Julian day 2451545.0)</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>Sat</name><description>Satellite, Phobos or Deimos</description><ucd>meta.id;meta.main</ucd><dataType xsi:type="vs:VOTableType" arraysize="6*">char</dataType></column><column><name>x</name><description>X position</description><unit>km</unit><ucd>pos.cartesian.x</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_x</name><description>Error on X position</description><unit>km</unit><ucd>stat.error;pos.cartesian.x</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>y</name><description>Y position</description><unit>km</unit><ucd>pos.cartesian.y</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_y</name><description>Error on Y position</description><unit>km</unit><ucd>stat.error;pos.cartesian.y</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>z</name><description>Z position</description><unit>km</unit><ucd>src.redshift</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_z</name><description>Error on Z position</description><unit>km</unit><ucd>stat.error;src.redshift</ucd><dataType xsi:type="vs:VOTableType">float</dataType></column><column><name>vx</name><description>Velocity along X axis</description><unit>km/s</unit><ucd>phys.veloc</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_vx</name><description>Error on velocity along X axis</description><unit>km/s</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>vy</name><description>Velocity along Y axis</description><unit>km/s</unit><ucd>phys.veloc</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_vy</name><description>Error on velocity along Y axis</description><unit>km/s</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>vz</name><description>Velocity along Z axis</description><unit>km/s</unit><ucd>phys.veloc</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>e_vz</name><description>Error on velocity along Z axis</description><unit>km/s</unit><ucd>stat.error</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column></table></schema></tableset></ri:Resource>