Other
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004sf2a.conf...31l&link_type=abstract
SF2A-2004: Semaine de l'Astrophysique Francaise, meeting held in Paris, France, June 14-18, 2004. Edited by F. Combes, D. Barret
Other
Scientific paper
The knowledge of Synge's world function giving half the square of the geodesic distance between two points in a curved space-time enables one to determine the time transfer functions and the gravitational deflection of light rays. We present a recursive method for expanding the world function into a perturbative series of powers of the Newtonian gravitational constant G. We carry out the calculations up to the order G2 for a static, spherically symmetric metric involving three arbitrary parameters and we show how to apply these results to GAIA mission and other highly accurate astrometric projects. We also emphasize the interest of the method for the systems of navigation like GALILEO.
Le Poncin-Lafitte Christophe
Linet Bernard
Teyssandier Pierre
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