| Issue |
A&A
Volume 408, Number 1, September II 2003
|
|
|---|---|---|
| Page(s) | 387 - 400 | |
| Section | Celestial mechanics and astrometry | |
| DOI | https://doi.org/10.1051/0004-6361:20030911 | |
| Published online | 17 November 2003 | |
On transformation between international celestial and terrestrial reference systems*,**
1
Institut de mécanique céleste et de calcul des éphémérides, 75014 Paris, France
2
Institute of Applied Astronomy, 191187 St. Petersburg, Russia
Corresponding author: V. A. Brumberg, brumberg@quasar.ipa.nw.ru
Received:
19
February
2003
Accepted:
16
May
2003
Based on the current IAU hierarchy of the relativistic reference systems, practical formulae for the transformation between barycentric (BCRS) and geocentric (GCRS) celestial reference systems are derived. BCRS is used to refer to ICRS, International Celestial Reference System. This transformation is given in four versions, dependent on the time arguments used for BCRS (TCB or TDB) and for GCRS (TCG or TT). All quantities involved in these formulae have been tabulated with the use of the VSOP theories (IMCCE theories of motion of the major planets). In particular, these formulae may be applied to account for the indirect relativistic third–body perturbations in motion of Earth's satellites and Earth's rotation problem. We propose to use the SMART theory (IMCCE theory of Earth's rotation) in constructing the Newtonian three-dimensional spatial rotation transformation between GCRS and ITRS, the International Terrestrial Reference System. This transformation is compared with two other versions involving extra angular variables currently used by IERS, the International Earth Rotation Service. It is shown that the comparison of these three forms of the same transformation may be greatly simplified by using the proposed composite rotation formula.
Key words: relativity / reference systems / time
Tables 1–20 of Appendix B containing the initial terms of the VSOP–based series for the
BCRS
GCRS transformation are only available in
electronic form at the CDS via anonymous ftp to
cdsarc.u-strasbg.fr (130.79.128.5) or via
http://cdsweb.u-strasbg.fr/cgi-bin/qcat?J/A+A/408/387
The work on ICRSGCRS transformation with the use of VSOP theories was done in February–March 2002 during the stay of the second author in IMCCE. The authors hoped to
complete the second part concerning GCRSITRS transformation with the use of
SMART theory in September 2002 during the visit of the first author to IAA. The grave disease
of Pierre Bretagnon which tragically resulted in his death on November 17, 2002, did not permit
us to complete this work. The aim to improve SMART theory by taking into account the indirect
relativistic third–body perturbations as indicated in the paper also remains unachieved.
The second author is publishing this paper in memoriam of Pierre Bretagnon (VAB).
© ESO, 2003
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