<?xml-stylesheet href='/static/xsl/oai.xsl' type='text/xsl'?>
<ri:Resource created="2006-05-08T18:51:04Z" 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>UT1 definitions in IAU 2000</title><shortName>J/A+A/406/1135</shortName><identifier>ivo://CDS.VizieR/J/A+A/406/1135</identifier><altIdentifier>doi:10.26093/cds/vizier.34061135</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Capitaine N.</name></creator><creator><name>Wallace P.T.</name></creator><creator><name>McCarthy D.D.</name></creator><date role="Updated">2006-05-08T18:52:41Z</date><date role="Created">2006-05-08T18:51:04Z</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>earth-planet</subject><subject>ephemerides</subject><description>This paper provides expressions to be used to implement the new definition of UT1 corresponding to the IAU 2000 resolutions either in the new (CEO-based) or classical (equinox-based) transformations between the International Terrestrial Reference System (ITRS) and the Geocentric Celestial Reference System (GCRS). The new expression for Greenwich Sidereal Time (GST) has to be in agreement at the micro-arcsecond level, for one century, with the IAU 2000 expressions for the Earth Rotation Angle (ERA) and for the quantity s positioning the Celestial Ephemeris Origin (CEO) on the equator of the CIP. The computations of the new expressions using the IAU 2000 precession-nutation model are performed in such a manner as to ensure that there is no discontinuity in UT1 on 1 January 2003 and that there is equivalence of the classical and new transformations between the ITRS and GCRS relative to the rotation about the axis of the CIP when these expressions are used. The equinox offset that is considered in the computations refers to the dynamical mean equinox of J2000.0. The resulting expressions have been included in the IERS Conventions 2000.</description><source format="bibcode">2003A&amp;A...406.1135C</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/406/1135</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/355/398">J/A+A/355/398 : Celestial Ephemeris Origin definition (Capitaine+, 2000)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/400/1145">J/A+A/400/1145 : Celestial Intermediate Pole + Ephemeris Origin</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/406/1135</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/406/1135</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/406/1135</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/406/1135</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/406/1135</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/406/1135</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/406/1135/tableb</name><description>Expression (IAU 2000A) of the Y coordinate of the CIP in the GCRS provided by N. Capitaine</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>j</name><description>[0/4] Number j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>nj</name><description>Number of terms (i) for j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i</name><description>Number i (range [0 .. nj])</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i(s,j)</name><description>a_{s,j})_i (X), b_{s,j})_i (Y) or c_{s,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>i(c,j)</name><description>a_{c,j})_i (X), b_{c,j})_i (Y) or c_{c,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>l</name><description>Mean anomaly of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>l'</name><description>Mean anomaly of the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>F</name><description>L - Omega (L: Mean longitude of the Moon) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>D</name><description>Mean elongation from the Moon to the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Omega</name><description>Mean longitude of the ascending node of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMe</name><description>Mean longitude of Mercure coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LVe</name><description>Mean longitude of Venus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LE</name><description>Mean longitude of the Earth coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMa</name><description>Mean longitude of Mars coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LJ</name><description>Mean longitude of Jupiter coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSa</name><description>Mean longitude of Saturn coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LU</name><description>Mean longitude of Uranus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LNe</name><description>Mean longitude of Neptune coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>pA</name><description>General precession in longitude coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column></table><table><name>J/A+A/406/1135/tablec</name><description>Expression (IAU 2000A) of the s(t)+XY/2 quantity provided provided by N. Capitaine</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>j</name><description>[0/4] Number j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>nj</name><description>Number of terms (i) for j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i</name><description>Number i (range [0 .. nj])</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i(s,j)</name><description>a_{s,j})_i (X), b_{s,j})_i (Y) or c_{s,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>i(c,j)</name><description>a_{c,j})_i (X), b_{c,j})_i (Y) or c_{c,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>l</name><description>Mean anomaly of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>l'</name><description>Mean anomaly of the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>F</name><description>L - Omega (L: Mean longitude of the Moon) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>D</name><description>Mean elongation from the Moon to the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Omega</name><description>Mean longitude of the ascending node of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMe</name><description>Mean longitude of Mercure coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LVe</name><description>Mean longitude of Venus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LE</name><description>Mean longitude of the Earth coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMa</name><description>Mean longitude of Mars coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LJ</name><description>Mean longitude of Jupiter coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSa</name><description>Mean longitude of Saturn coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LU</name><description>Mean longitude of Uranus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LNe</name><description>Mean longitude of Neptune coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>pA</name><description>General precession in longitude coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column></table><table><name>J/A+A/406/1135/tablef</name><description>Expression for Greenwich Sidereal Time based on the IAU2000A precession-nutation model</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>j</name><description>[0/4] Number j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>nj</name><description>Number of terms (i) for j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i</name><description>Number i (range [0 .. nj])</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i(s,j)</name><description>a_{s,j})_i (X), b_{s,j})_i (Y) or c_{s,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>i(c,j)</name><description>a_{c,j})_i (X), b_{c,j})_i (Y) or c_{c,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>l</name><description>Mean anomaly of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>l'</name><description>Mean anomaly of the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>F</name><description>L - Omega (L: Mean longitude of the Moon) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>D</name><description>Mean elongation from the Moon to the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Omega</name><description>Mean longitude of the ascending node of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMe</name><description>Mean longitude of Mercure coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LVe</name><description>Mean longitude of Venus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LE</name><description>Mean longitude of the Earth coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMa</name><description>Mean longitude of Mars coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LJ</name><description>Mean longitude of Jupiter coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSa</name><description>Mean longitude of Saturn coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LU</name><description>Mean longitude of Uranus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LNe</name><description>Mean longitude of Neptune coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>pA</name><description>General precession in longitude coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column></table><table><name>J/A+A/406/1135/tablea</name><description>Expression (IAU 2000A) of the X coordinate of the CIP in the GCRS provided by N. Capitaine</description><column><name>j</name><description>[0/4] Number j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></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>nj</name><description>Number of terms (i) for j</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i</name><description>Number i (range [0 .. nj])</description><ucd>meta.number</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>i(s,j)</name><description>a_{s,j})_i (X), b_{s,j})_i (Y) or c_{s,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>i(c,j)</name><description>a_{c,j})_i (X), b_{c,j})_i (Y) or c_{c,j})_i (S(t)+XY/2) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">double</dataType></column><column><name>l</name><description>Mean anomaly of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>l'</name><description>Mean anomaly of the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>F</name><description>L - Omega (L: Mean longitude of the Moon) coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>D</name><description>Mean elongation from the Moon to the Sun coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Omega</name><description>Mean longitude of the ascending node of the Moon coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMe</name><description>Mean longitude of Mercure coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LVe</name><description>Mean longitude of Venus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LE</name><description>Mean longitude of the Earth coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LMa</name><description>Mean longitude of Mars coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LJ</name><description>Mean longitude of Jupiter coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LSa</name><description>Mean longitude of Saturn coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LU</name><description>Mean longitude of Uranus coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>LNe</name><description>Mean longitude of Neptune coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>pA</name><description>General precession in longitude coefficient</description><ucd>stat.param</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column></table></schema></tableset></ri:Resource>