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McCarthy}{\operator Nicole CAPITAINE}{\creatim\yr2000\mo11\dy24\hr11\min19}{\revtim\yr2000\mo11\dy24\hr11\min19}{\printim\yr2000\mo11\dy23\hr16\min43}{\version2}{\edmins0} {\nofpages10}{\nofwords3774}{\nofchars21512}{\*\company U.S. Naval Observatory}{\nofcharsws26418}{\vern113}}\margl1418\margr1701\margt1134\margb851 \widowctrl\ftnbj\aenddoc\lytprtmet\hyphcaps0\formshade\viewkind1\viewscale100\pgbrdrhead\pgbrdrfoot \fet0 \sectd \linex0\headery709\footery709\colsx709\endnhere\sectdefaultcl {\*\pnseclvl1\pndec\pnstart1\pnindent360\pnsp120\pnhang{\pntxta .}}{\*\pnseclvl2\pnlcltr\pnstart1\pnindent504\pnsp120\pnhang{\pntxta .}}{\*\pnseclvl3\pnstart1\pnindent360\pnsp120 } {\*\pnseclvl4\pnstart1\pnindent360\pnsp120 }{\*\pnseclvl5\pnstart1\pnindent360\pnsp120 }{\*\pnseclvl6\pnstart1\pnindent360\pnsp120 }{\*\pnseclvl7\pnstart1\pnindent360\pnsp120 }{\*\pnseclvl8\pnstart1\pnindent360\pnsp120 }{\*\pnseclvl9 \pnstart1\pnindent360\pnsp120 }\pard\plain \s1\qc\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\b\ulnone\lang2057 IAU RESOLUTIONS \par }{\b\fs16\ulnone\lang2057 \par }{\b\ulnone\lang2057 ADOPTED AT THE 24th GENERAL ASSEMBLY (Manchester, August 2000) \par }\pard\plain \widctlpar\adjustright \fs20\cgrid { \par \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\b\fs20\lang2057 \par Resolution B1.1 Maintenance and Establishment of Reference Frames and Systems \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 \par The XXIVth International Astronomical Union General Assembly, \par \par }\pard\plain \s4\qj\keepn\widctlpar\outlinelevel3\adjustright \cgrid {\fs20\ul\lang2057 Noting \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard\plain \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls1\adjustright \fs20\cgrid {\lang2057 that Resolution B2 of the XXIIIrd General Assembly (1997) specifies that \'93the fundamental reference frame shall be the International Celestial Reference Frame (ICRF) constructed by the IAU Working Group on Reference Frames,\'94 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls1\adjustright {\lang2057 that Resolution B2 of the XXIIIrd General Assembly (1997) specifies \'93That the Hipparcos Catalogue shall be the primary realisation of the International Celestial Reference System (ICRS) at optical wavelengths\'94, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls1\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls1\adjustright {\lang2057 the need for accurate definition of reference systems brought about by unprecedented precision, and \par }\pard \qj\li360\widctlpar\adjustright {\lang2057 \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\fs20\lang2057 Recognising \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard\plain \s17\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls2\adjustright \f2\cgrid {\f0\fs20\lang2057 the importance of continuing operational observations made with Very Long Baseline Interferometry (VLBI) to maintain the ICRF, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s17\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls2\adjustright {\f0\fs20\lang2057 the importance of VLBI observations to the operational determination of the parameters needed to specify the time-variable transformation between the International Celestial and Terrestrial Reference Frames, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s17\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls2\adjustright {\f0\fs20\lang2057 the progressive shift between the Hipparcos frame and the ICRF, and \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \s17\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls2\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls2\adjustright {\f0\fs20\lang2057 the need to maintain the optical realisation as close as possible to the ICRF, \par }\pard \s17\qj\widctlpar\adjustright {\f0\fs20\lang2057 \par }\pard \s17\qj\widctlpar\outlinelevel0\adjustright {\f0\fs20\ul\lang2057 Recommends}{\f0\fs20\lang2057 \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that IAU Division I maintain the Working Group on Celestial Reference Systems formed from Division I members to consult with the International Earth Rotation Service (IERS) regarding the maintenance of the ICRS, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that the IAU recognise the International VLBI service (IVS) for Geodesy and Astrometry as an IAU Service Organization, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that an official representative of the IVS be invited to participate in the IAU Working Group on Celestial Reference Systems, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that the IAU continue to provide an official representative to the IVS Directing Board, \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that the astrometric and geodetic VLBI observing programs consider the requirements for maintenance of the ICRF and linking to the Hipparcos optical frame in the selection of sources to be observed (with emphasis on the S outhern Hemisphere), design of observing networks, and the distribution of data, and \par {\pntext\pard\plain\s17 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 6.\tab}}\pard \s17\qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls3\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls3\adjustright { \f0\fs20\lang2057 that the scientific community continue with high priority ground- and space-based observations (a) for the maintenance of the optical Hipparcos frame and frames at other wavelengths and (b) for links of the frames to the ICRF. \par }\pard\plain \qj\widctlpar\outlinelevel0\adjustright \fs20\cgrid {\lang2057 \par \par }{\b\ul\lang2057 Resolution B1.2 Hipparcos Celestial Reference Frame \par }\pard \qj\widctlpar\adjustright {\lang2057 \par The XXIVth International Astronomical Union General Assembly, \par \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Noting \par }\pard \qj\widctlpar\adjustright {\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 that Resolution B2 of the XXIIIrd General Assembly (1997) specifies, "That the Hipparcos Catalogue shall be the primary realisation of the International Celestial Reference System (ICRS) at optical wavelengths", \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 the need for this realisation to be of the highest precision, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 that the proper motions of many of the Hipparcos stars known, or suspected, to be multiple are adversely affected by uncorrected orbital motion, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 the extensive use of the Hipparcos Catalogue as reference for the ICRS in extension to fainter stars, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 the need to avoid confusion between the International Celestial Reference Frame (ICRF) and the Hipparcos frame, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 6.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls19\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls19\adjustright {\lang2057 the progressive shift between the Hipparcos frame and the ICRF, \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends \par }\pard \qj\widctlpar\adjustright {\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls20\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls20\adjustright {\lang2057 that Resolution B2 of the XXIIIrd IAU General Assembly (1997) be amended by excluding from the optical realisation of the ICRS all stars flagged C, G, O, V and X in the Hipparcos Catalogue, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls20\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls20\adjustright {\lang2057 that this modified Hipparcos frame be labelled the Hipparcos Celestial Reference Frame (HCRF). \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }{\ul\lang2057 \par }\pard\plain \s16\qj\widctlpar\adjustright \f2\fs20\cgrid {\b\f0\lang2057 Resolution B1.3 }{\b\f0\ul\lang2057 Definition of Barycentric Celestial Reference System and Geocentric Celestial Reference System \par }{\b\f0\lang2057 \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 The XXIVth International Astronomical Union General Assembly, \par }\pard\plain \s16\qj\widctlpar\adjustright \f2\fs20\cgrid {\f0\lang2057 \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Considering}{\b\f0\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard\plain \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls31\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls31\adjustright \fs20\cgrid {\lang2057 that the Resolution A4 of the XXIst General Assembly (1991) has defined a system of space-time coordinates for (a) the solar system (now called the Barycentric Celestial Reference System, (BCRS)) and (b) the Earth (now called the Geocentric Celestial Reference System (GCRS)), within the framework of General Relativity, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls32\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls32\adjustright {\lang2057 the desire to write the metric tensors both in the BCRS and in the GCRS in a compact and self-consistent form, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls33\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls33\adjustright {\lang2057 the fact that considerable work in General Relativity has been done using the harmonic gauge that was found to be a useful and simplifying gauge for many kinds of applications, \par }\pard \qj\widctlpar\adjustright {\ul\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls34\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls34\adjustright {\lang2057 the choice of harmonic coordinates both for the barycentric and for the geocentric reference systems, \par }\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlcont\ilvl12\ls0\pnrnot0\pndec }\ilvl12\adjustright {\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls35\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls35\adjustright {\lang2057 writing the time-time component and the space-space component of the barycentric metric g}{\lang2057\sub {\field{\*\fldinst SYMBOL 109 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\lang2057\sub {\field{\*\fldinst SYMBOL 110 \\f "Symbol" \\s 10}{\fldrslt \f3\fs20}}}{\lang2057 with barycentric coordinates (t,}{\b\lang2057 x}{\lang2057 ) (t = 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Soffel, M., Xu, C., }{\i\lang2057 Phys.Rev. D}{\lang2057 }{\b\lang2057 43}{\lang2057 , 3273 (1991); }{\b\lang2057 45}{\lang2057 , 1017 (1992); }{\b\lang2057 47}{\lang2057 , 3124 (1993); }{\b\lang2057 49}{\lang2057 , 618 (1994). \par Klioner, S. A., Voinov, A.V., 1993, }{\i\lang2057 Phys Rev. D}{\lang2057 , }{\b\lang2057 48}{\lang2057 , 1451. \par Kopeikin, S.M., 1989, }{\i\lang2057 Celest. Mech.}{\lang2057 , }{\b\lang2057 44}{\lang2057 , 87. \par }\pard \qj\widctlpar\adjustright {\b\ul\lang2057 \par \par Resolution B1.4 Post-Newtonian Potential Coefficients \par }{\ul\lang2057 \par }{\lang2057 The XXIVth International Astronomical Union General Assembly, \par \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Considering \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls38\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls38\adjustright {\lang2057 that for many applications in the fields of celestial mechanics and astrometry a suitable parametrization of the metric potentials (or multipole moments) outside the massive solar system bodies in the form of expansions in terms of potential coefficients are extremely useful, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls39\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls39\adjustright {\lang2057 that phys ically meaningful post-Newtonian potential coefficients can be derived from the literature, \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls40\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls40\adjustright {\lang2057 expansion of the post-Newtonian potential of the Earth in the Geocentric Celestial Reference System (GCRS) outside the Earth in the form \par }\pard \qj\li360\widctlpar{\*\pn \pnlvlcont\ilvl12\ls0\pnrnot0\pndec }\ilvl12\adjustright {\pard\plain \qj\li360\widctlpar{\*\pn \pnlvlcont\ilvl12\ls0\pnrnot0\pndec }\ilvl12\adjustright \fs20\lang2057\cgrid {\object\objemb\objw7421\objh840 {\*\objclass Equation.3}{\*\objdata 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\s4\qj\keepn\widctlpar\outlinelevel3\adjustright \cgrid {\fs20\lang2057 The XXIVth International Astronomical Union General Assembly, \par }\pard\plain \s16\qj\widctlpar\adjustright \f2\fs20\cgrid {\f0\lang2057 \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Considering \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls14\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls14\adjustright {\f0\lang2057 that the Resolution A4 of the XXIst General Assembly (1991) has defined systems of space-time coordinates for the solar system (Barycentric Reference System) and for the Earth (Geocentric Reference System), within the framework of General Relativity, \par }\pard \s16\qj\widctlpar{\*\pn \pnlvlcont\ilvl12\ls0\pnrnot0\pndec }\ilvl12\adjustright {\f0\lang2057 \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls14\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls14\adjustright {\f0\lang2057 that Resolution B1.3 entitled \'93Definition of Barycentric Celestial Reference System and Geocentric Celestial Reference System\'94 has renamed these systems the Barycentric Celestial Reference System (BCRS) and the Geocentric Celestial Reference System (GCRS), respectively, and has specified a general framework for expressing their metric tensor and defining coordinate transformations at the first post-Newtonian level, \par }\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlcont\ilvl12\ls0\pnrnot0\pndec }\ilvl12\adjustright {\f0\lang2057 \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls14\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls14\adjustright {\f0\lang2057 that, based on the anticipated 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Notes \par }\pard \s16\qj\widctlpar\adjustright {\i\f0\lang2057 1. This formulation will provide an uncertainty not larger than 5 }{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 10}{\i\f0\lang2057\super -18}{ \i\f0\lang2057 in rate and, for quasi-periodic terms, not larger than 5 }{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 10}{\i\f0\lang2057\super -18}{\i\f0\lang2057 in rate amplitude and 0.2 ps in phase amplitude, for locations fa rther than a few solar radii from the Sun. The same uncertainty also applies to the transformation between TCB and TCG for locations within 50000 km of the Earth. Uncertainties in the values of astronomical quantities may induce larger errors in the formu las. \par }{\f0\lang2057 \par }\pard \s16\qj\widctlpar\tx2552\adjustright {\i\f0\lang2057 2. 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In these formulas, the terms in }{\b\f0\lang2057 S}{\f0\lang2057\sub A}{\i\f0\lang2057 are needed only for Jupiter (S }{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 187 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 6.9}{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 10}{\i\f0\lang2057\super 38}{\i\f0\lang2057 m}{ \i\f0\lang2057\super 2}{\i\f0\lang2057 s}{\i\f0\lang2057\super -1}{\i\f0\lang2057 kg) and Saturn (S }{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 187 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 1.4}{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 10}{\i\f0\lang2057\super 38}{\i\f0\lang2057 m}{\i\f0\lang2057\super 2}{\i\f0\lang2057 s}{\i\f0\lang2057\super -1}{\i\f0\lang2057 kg), in the immediate vicinity of these planets. \par }{\f0\lang2057 \par }{\i\f0\lang2057 3. Because the present Recommendation provides an extension of the IAU 1991 recommendations valid at the full first post-Newtonian level, the constants L}{\i\f0\lang2057\sub C}{\i\f0\lang2057 and L}{\i\f0\lang2057\sub B}{\i\f0\lang2057 that were introduced in the IAU 1991 recommendations should be defined as <}{\f0\lang2057 TCG/TCB> = 1 - }{\i\f0\lang2057 L}{\i\f0\lang2057\sub C}{\i\f0\lang2057 and}{\f0\lang2057 = 1 - }{\i\f0\lang2057 L}{\i\f0\lang2057\sub B }{ \i\f0\lang2057 , where TT refers to Terrestrial Time and <> refers to a sufficiently long average taken at the geocenter. The most recent estimate of L}{\i\f0\lang2057\sub C}{\i\f0\lang2057 is (Irwin, A. and Fukushima, T., 1999, Astron. Astroph}{ \b\i\f0\lang2057 . 348}{\i\f0\lang2057 , 642-652) \par }{\f0\lang2057 \par }\pard \s16\qj\fi720\widctlpar\adjustright {\i\f0\lang2057 L}{\i\f0\lang2057\sub C}{\i\f0\lang2057 }{\f0\lang2057 = 1.48082686741}{\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\f0\lang2057 10}{\f0\lang2057\super -8} {\f0\lang2057 }{\f0\lang2057 {\field{\*\fldinst SYMBOL 177 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\f0\lang2057 2}{\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\f0\lang2057 10}{\f0\lang2057\super -17}{ \f0\lang2057 , \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\i\lang2057\cgrid0 From the Resolution B1.9 on \'93Redefinition of Terrestrial Time TT\'94, one infers L}{\i\lang2057\sub\cgrid0 B}{\lang2057\cgrid0 = 1.55051976772 }{\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\lang2057 10}{\lang2057\super -8}{\lang2057 }{\lang2057 {\field{\*\fldinst SYMBOL 177 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\lang2057 2}{\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\lang2057 10}{\lang2057\super -17}{\lang2057 }{\i\lang2057 by using the relation}{\lang2057 1-}{\i\lang2057 L}{\i\lang2057\sub B}{\lang2057 =(1-}{\i\lang2057 L}{\i\lang2057\sub C}{\lang2057 )(1-}{\i\lang2057 L}{ \i\lang2057\sub G}{\lang2057 ). }{\i\lang2057 L}{\i\lang2057\sub G}{\i\lang2057 is defined in Resolution B1.9. \par }\pard\plain \s16\qj\widctlpar\adjustright \f2\fs20\cgrid {\i\f0\lang2057 \par Because no unambiguous definition may be provided for L}{\f0\lang2057\sub B}{\i\f0\lang2057 and}{\f0\lang2057 }{\i\f0\lang2057 L}{\i\f0\lang2057\sub C}{\i\f0\lang2057 , these constants should not be used in formulating time tra nsformations when it would require knowing their value with an uncertainty of order 1}{\i\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\f0\lang2057 10}{\i\f0\lang2057\super -16}{\i\f0\lang2057 or less. \par \par 4. 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{\f0\lang2057 \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s16\qj\fi-360\li360\widctlpar\ls21\adjustright {\f0\lang2057 that the International Astronomical Union and the International Union of Geodesy and Geophysics Working Group (IAU-IUGG WG) on 'Non-rigid Earth Nutation Theory' has met its goals by \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 a.\tab}}\pard \s16\qj\fi-504\li936\widctlpar\ls22\ilvl1\adjustright {\f0\lang2057 establishing new high precision rigid Earth nutation series, such as (1) SMART97 of Bretagnon }{ \i\f0\lang2057 et al.}{\f0\lang2057 , 1998, }{\i\f0\lang2057 Astron. Astroph. }{\f0\lang2057 }{\b\f0\lang2057 329}{\f0\lang2057 , 329-338; (2) REN2000 of Souchay }{\i\f0\lang2057 et al.}{\f0\lang2057 , 1999, }{\i\f0\lang2057 Astron. Astroph. Supl. Ser}{ \f0\lang2057 }{\b\f0\lang2057 135}{\f0\lang2057 , 111-131; (3) RDAN97 of Roosbeek and Dehant 1999, }{\i\f0\lang2057 Celest. Mech.}{\f0\lang2057 }{\b\f0\lang2057 70}{\f0\lang2057 , 215-253; \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 b.\tab}}\pard \s16\qj\fi-504\li936\widctlpar\ls23\ilvl1\adjustright {\f0\lang2057 completing the comparison of new n on-rigid Earth transfer functions for an Earth initially in non-hydrostatic equilibrium, incorporating mantle anelasticity and a Free Core Nutation period in agreement with observations, \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 c.\tab}}\pard \s16\qj\fi-504\li936\widctlpar\ls24\ilvl1\adjustright {\f0\lang2057 noting that numerical integration models are not yet ready to incorp orate dissipation in the core, and \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 d.\tab}}\pard \s16\qj\fi-504\li936\widctlpar\ls25\ilvl1\adjustright {\f0\lang2057 noting the effects of other geophysical and astronomical phenomena that must be modelled, such as ocean and atmospheric tides, that need further development; \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s16\qj\fi-360\li360\widctlpar\ls26\adjustright {\f0\lang2057 that, as instructed by IAU Recommendation C1 in 1994, the Inter national Earth Rotation Service (IERS) will publish in the IERS Conventions (2000) a precession-nutation model that matches the observations with a weighted rms of 0.2 milliarcsecond (mas); \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s16\qj\fi-360\li360\widctlpar\ls27\adjustright {\f0\lang2057 that semi-analytical geophysical theories of forced nutation are a vailable which incorporate some or all of the following - anelasticity and electromagnetic couplings at the core-mantle and inner core-outer core boundaries, annual atmospheric tide, geodetic nutation, and ocean tide effects; \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \s16\qj\fi-360\li360\widctlpar\ls28\adjustright {\f0\lang2057 that ocean tide corrections are necessary at all nutation frequencies; and \par {\listtext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \s16\qj\fi-360\li360\widctlpar\ls29\adjustright {\f0\lang2057 that empirical models based on a resonance formula without further corrections do also exist; \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Accepts \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par the conclusions of the IAU-IUGG WG on Non-rigid Earth Nutation Theory published by Dehant }{\i\f0\lang2057 et al.}{\f0\lang2057 , 1999, }{\i\f0\lang2057 Celest. Mech}{\f0\lang2057 . }{\b\f0\lang2057 72(4)}{\f0\lang2057 , 245-310 and the recent comparisons between the various possibilities, and \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\lang2057 \par }{\f0\ul\lang2057 Recommends \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par that, beginning on 1 January 2003, the IAU 1976 Precession Model and IAU 1980 Theory of Nutation, be replaced by the precession-nutation model IAU 2000A (MHB2000, based on the transfer functions of Mathews, Herring and Buffett, 2000 \endash submitted to the }{\i\f0\lang2057 Journal of Geophysical Research}{\f0\lang2057 ) for those who need a model at the 0.2 mas level, or its shorter version IAU 2000B for those who need a model only at th e 1 mas level, together with their associated precession and obliquity rates, and their associated celestial pole offsets at J2000, to be published in the IERS Conventions 2000, and \par \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Encourages}{\f0\lang2057 \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls30\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls30\adjustright {\f0\lang2057 the continuation of theoretical developments of non-rigid Earth nutation series, \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls30\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls30\adjustright {\f0\lang2057 the continuation of VLBI observations to increase the accuracy of the nutation series and the nutation model, and to monitor the unpredictable free core nutation, and \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls30\pnrnot0\pndec\pnstrike0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls30\adjustright {\f0\lang2057 the development of new expressions for precession consistent with the IAU 2000A model. \par }\pard\plain \qj\widctlpar\outlinelevel0\adjustright \fs20\cgrid {\b\ul\lang2057 \par \par Resolution B1.7 Definition of Celestial Intermediate Pole \par }\pard \qj\widctlpar\adjustright {\b\ul\lang2057 \par }{\lang2057 The XXIVth International Astronomical Union General Assembly, \par \par }{\ul\lang2057 Noting}{\lang2057 \par \par the need for accurate definition of reference systems brought about by unprecedented observational precision, and \par \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\fs20\lang2057 Recognising \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\ul\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls4\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls4\adjustright {\lang2057 the need to specify an axis with respect to which the Earth\rquote s angle of rotation is defined, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls4\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls4\adjustright {\lang2057 that the Celestial Ephemeris Pole (CEP) does not take account of diurnal and higher frequency variations in the Earth\rquote s orientation, \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends}{\lang2057 \par }\pard \qj\widctlpar\adjustright {\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that the Celestial Intermediate Pole (CIP) be the pole, the motion of which is specified in the Geocentric Celestial Reference System (GCRS, see Resolution B1.3) by motion of the Tisserand mean axis of the Earth with periods greater than two days, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that the direction of the CIP at J2000.0 be offset from the direction of the pole of the GCRS in a manner consistent with the IAU 2000A (see Resolution B1.6) precession-nutation model, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that the motion of the CIP in the GCRS be realised by the IAU 2000 A mo del for precession and forced nutation for periods greater than two days plus additional time-dependent corrections provided by the International Earth Rotation Service (IERS) through appropriate astro-geodetic observations, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that the motion of the CIP in t he International Terrestrial Reference System (ITRS) be provided by the IERS through appropriate astro-geodetic observations and models including high-frequency variations, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that for highest precision, corrections to the models for the motion of the CIP in the ITRS may be estimated using procedures specified by the IERS, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 6.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls5\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls5\adjustright {\lang2057 that implementation of the CIP be on 1 January 2003. \par }\pard \qj\widctlpar\adjustright {\lang2057 \par \par \par }\pard\plain \s3\qj\keepn\widctlpar\outlinelevel2\adjustright \i\ul\cgrid {\i0\fs20\lang2057 Notes \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\i\lang2057 The forced nutations with periods less than two days are included in the model for the motion of the CIP in the ITRS. \par The Tisserand mean axis of the Earth corresponds to the mean surface geographic axis, quoted B axis, in Seidelmann, 1982, Celest. Mech}{\b\i\lang2057 . 27}{\i\lang2057 , 79-106. \par As a consequence of this resolution, the Celestial Ephemeris Pole is no longer necessary. \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\b\ul\lang2057 \par \par Resolution B1.8 Definition and use of Celestial and Terrestrial Ephemeris Origins \par }\pard \qj\widctlpar\adjustright {\ul\lang2057 \par }{\lang2057 The XXIVth International Astronomical Union General Assembly, \par \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recognising \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls6\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls6\adjustright {\lang2057 the need for reference system definitions suitable for modern realisations of the conventional reference systems and consistent with observational precision, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls6\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls6\adjustright {\lang2057 the need for a rigorous definition of sidereal rotation of the Earth, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls6\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls6\adjustright {\lang2057 the desirability of describing the rotation of the Earth independently from its orbital motion, and \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\fs20\lang2057 Noting \par }{\fs20\ulnone\lang2057 that the use of the \'93non-rotating origin\'94 (Guinot, 1979) on the moving equator fulfills the above conditions and allows for a definition of UT1 which is insensitive to changes in models for precession and nutation at the microarcsecond level}{\fs20\lang2057 \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends}{\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 the use of the \'93non-rotating origin \'94 in the Geocentric Celestial Reference System ((GCRS) and that this point be designated as the Celestial Ephemeris Origin (CEO) on the equator of the Celestial Intermediate Pole (CIP), \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 the use of the \'93non-rotating origin \'94 in the International Terrestrial Reference System (ITRS) and that this point be designated as the Terrestrial Ephemeris Origin (TEO) on the equator of the CIP, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 that UT1 be linearly proportional to the Earth Rotation Angle defined as the angle measured along the equator of the CIP between the unit vectors directed toward the CEO and the TEO, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 4.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 that the transformation between the ITRS and GCRS be specified by the position of the CIP in the GCRS, the position of the CIP in the ITRS, and the Earth Rotation Angle, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 5.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 that the International Earth Rotat ion Service (IERS) take steps to implement this by 1 January 2003, and \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 6.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls7\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls7\adjustright {\lang2057 that the IERS will continue to provide users with data and algorithms for the conventional transformations. \par }\pard \qj\widctlpar\adjustright {\lang2057 \par \par \par \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\i\fs20\lang2057 Note \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\i\lang2057 The position of the CEO can be computed from the IAU 2000A model for precession and nutation of the CIP and from the current values of the offset of the CIP from the pole of the ICRF at J2000.0 using the development provided by Capitaine et al. (2000). \par The position of the TEO is only slightly dependent on polar motion and can be extrapolated as done by Capitaine et al. (2000) using the IERS data. \par The linear relationship between the Earth\rquote s rotation angle }{\i\lang2057 {\field{\*\fldinst SYMBOL 113 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\lang2057 and UT1 should ensure the continuity in phase and rate of UT1 with the value obtained by the conventional relationship between Greenwich Mean Sidereal Time (GMST) and UT1. This is accomplished by the following relationship: \par \par }{\i\lang2057 {\field{\*\fldinst SYMBOL 113 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\lang2057 (UT1)=2}{\i\lang2057 {\field{\*\fldinst SYMBOL 112 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\i\lang2057 (0.7790572732640+1.00273781191135448}{\lang2057 x}{ \i\lang2057 (Julian UT1date-2451545.0)) \par \par }\pard\plain \s1\qj\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\fs20\lang2057 References \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\ul\lang2057 \par }\pard\plain \s17\qj\widctlpar\adjustright \f2\cgrid {\f0\fs20\lang2057 Guinot, B., 1979, in D.D. McCarthy and J.D. Pilkington (eds.), Time and the Earth\rquote s Rotation, D. Reidel Publ. 7-18. \par Capitaine, N., Guinot, B. and McCarthy, D.D., 2000, }{\i\f0\fs20\lang2057 Astron.Astrophys.,}{\f0\fs20\lang2057 }{\b\f0\fs20\lang2057 335}{\f0\fs20\lang2057 , 398-405. \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 \par }{\i\ul\lang2057 \par }\pard\plain \s16\qj\widctlpar\outlinelevel0\adjustright \f2\fs20\cgrid {\b\f0\ul\lang2057 Resolution B1.9 Re-definition of Terrestrial Time TT \par \par }\pard\plain \qj\widctlpar\adjustright \fs20\cgrid {\lang2057 The XXIVth International Astronomical Union General Assembly, \par }\pard\plain \s16\qj\widctlpar\adjustright \f2\fs20\cgrid {\f0\lang2057 \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Considering}{\f0\lang2057 \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls16\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls16\adjustright {\f0\lang2057 that IAU Resolution A4 (1991) has defined Terrestrial Time (TT) in its Recommendation 4, \par {\pntext\pard\plain\s16 \fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \s16\qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls16\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls16\adjustright {\f0\lang2057 that the intricacy and temporal changes inherent to the definition and realisation of the geoid are a source of uncertainty in the definition and reali sation of TT, which may become, in the near future, the dominant source of uncertainty in realising TT from atomic clocks, \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\f0\ul\lang2057 Recommends \par }\pard \s16\qj\widctlpar\adjustright {\f0\lang2057 \par that TT be a time scale differing from TCG by a constant rate: dTT/dTCG = 1-}{\i\f0\lang2057 L}{\i\f0\lang2057\sub G}{\f0\lang2057 , where }{\i\f0\lang2057 L}{\i\f0\lang2057\sub G}{\f0\lang2057 = 6.969290134}{\f0\lang2057 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 10}{\fldrslt\f3\fs20}}}{\f0\lang2057 10}{\f0\lang2057\super -10}{\f0\lang2057 is a defining constant, \par \par }\pard \s16\qj\widctlpar\outlinelevel0\adjustright {\i\f0\ul\lang2057 Note \par }\pard \s16\qj\widctlpar\adjustright {\i\f0\lang2057 \par }{\f0\lang2057 L}{\f0\lang2057\sub G}{\f0\lang2057 was defined by the IAU Resolution A4 (1991) in its Recommendation 4 as equal to U}{\f0\lang2057\sub G}{\f0\lang2057 /c}{\f0\lang2057\super 2}{\f0\lang2057 where U}{\f0\lang2057\sub G}{\f0\lang2057 is the geopotential at the geoid. }{\i\f0\lang2057 L}{\i\f0\lang2057\sub G}{\f0\lang2057 is now used as a defining constant. \par }\pard\plain \qj\widctlpar\outlinelevel0\adjustright \fs20\cgrid {\b\ul\lang2057 \par \par Resolution B2 Coordinated Universal Time \par }\pard \qj\widctlpar\adjustright {\ul\lang2057 \par }{\lang2057 The XXIVth International Astronomical Union General Assembly, \par \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recognising \par }\pard \qj\widctlpar\adjustright {\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls8\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls8\adjustright {\lang2057 that the definition of Coordinated Universal Time (UTC) relies on the astronomical observation of the UT1 time scale in order to introduce leap seconds, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls8\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls8\adjustright {\lang2057 that the unpredictability of leap seconds affects modern communication and navigation systems, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar{\*\pn \pnlvlbody\ilvl0\ls8\pnrnot0\pndec\pnstart1\pnindent360\pnhang{\pntxta .}}\ls8\adjustright {\lang2057 that astronomical observations provide an accurate estimate of the secular deceleration of the Earth\rquote s rate of rotation, \par }\pard \qj\widctlpar\adjustright {\lang2057 \par }\pard \qj\widctlpar\outlinelevel0\adjustright {\ul\lang2057 Recommends}{\lang2057 \par \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 1.\tab}}\pard \qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls44\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls44\outlinelevel0\adjustright { \lang2057 that the IAU establish a working group reporting to Division I at the General Assembly in 2003 to consider the redefinition of UTC, \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 2.\tab}}\pard \qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls44\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls44\outlinelevel0\adjustright { \lang2057 that this study discuss whether there is a requirement for leap seconds, the possibility of inserting leap seconds at pre-determined intervals, and the tolerance limits for UT1-UTC, and}{\i\lang2057 \par {\pntext\pard\plain\fs20\lang2057\cgrid \hich\af0\dbch\af0\loch\f0 3.\tab}}\pard \qj\fi-360\li360\widctlpar\jclisttab\tx360{\*\pn \pnlvlbody\ilvl0\ls44\pnrnot0\pndec\pnb0\pni0\pnstart1\pnindent360\pnhang{\pntxta .}}\ls44\outlinelevel0\adjustright { \lang2057 that this study be undertaken in cooperation with the appropriate groups of the International Union of Radio Science (URSI), the International Telecommunications Union (ITU-R), the International Bureau for Weights and Measures (BIPM), the International Earth Rotat ion Service (IERS), and relevant navigational agencies.}{\i\lang2057 \par }\pard\plain \s17\qj\sl-220\slmult0\widctlpar\adjustright \f2\cgrid {\b\f0\fs20\ul\lang2057 \par \par Resolution B3 Safeguarding the Information in Photographic Observations \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par The XXIVth International Astronomical Union General Assembly, \par \par }\pard\plain \s2\qj\sl-220\slmult0\keepn\widctlpar\outlinelevel1\adjustright \b\i\f1\cgrid {\b0\i0\f0\fs20\ul\lang2057 Pursuant of \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par its Recommendation C13 (1991) of the XXIst General Assembly to create accessible archives of the large quantities of observational material collected during the 20th Century and currently stored on photographic plates, \par \par }\pard\plain \s2\qj\sl-220\slmult0\keepn\widctlpar\outlinelevel1\adjustright \b\i\f1\cgrid {\b0\i0\f0\fs20\ul\lang2057 Recognising \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par that unless action is taken, this unique historical record of astronomical phenomena will be lost to future generations of astronomers, \par \par }\pard\plain \s2\qj\sl-220\slmult0\keepn\widctlpar\outlinelevel1\adjustright \b\i\f1\cgrid {\b0\i0\f0\fs20\ul\lang2057 Considering \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par }\pard\plain \s18\qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 the important efforts made by the Working Groups on (i) Sky Surveys, (ii) Carte du Ciel plates and (iii)\~ Spectroscopic Data Archives, as well as by the Centre for European Plates recently launched at the Royal Observatory of Belgium, in locating and cataloguing plates, in defining the tools needed to safeguard them, and in negotiating the means to preserve their recorded information in digital form in the public domain, and \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par }\pard\plain \s1\qj\sl-220\slmult0\keepn\widctlpar\outlinelevel0\adjustright \ul\cgrid {\fs20\lang2057 Realising \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par that the cataloguing, storage and safeguarding of the photographic plates is an important aspect for the implementation of the possible future digitisation processes needed for selective media transfer of high quality data, \par \par }\pard\plain \s2\qj\sl-220\slmult0\keepn\widctlpar\outlinelevel1\adjustright \b\i\f1\cgrid {\b0\i0\f0\fs20\ul\lang2057 Recommends \par }\pard\plain \qj\sl-220\slmult0\widctlpar\adjustright \fs20\cgrid {\lang2057 \par the transfer of the historic observations onto modern media by digital techniques, which will provide worldwide access to the data so as to benefit astronomical research in a way that is well matched to the tools of the researcher in the future. \par }}