Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48..167h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 2, 1990, p. 167-185.
Astronomy and Astrophysics
Astronomy
8
Earth Orbits, Geocentric Coordinates, Orbit Calculation, Relativistic Theory, Satellite Orbits, Center Of Gravity, Equations Of Motion, Solar System
Scientific paper
The relativistic formulations for the equations which describe the motion of a near-earth satellite are compared for two commonly used coordinate reference systems (RS). The discussion describes the transformation between the solar system barycentric RS and both the non-inertial and inertial geocentric RSs. A relativistic correction for the earth's geopotential expressed in the solar system barycentric RS and the effect of geodesic precession on the satellite orbit in the geocentric RS are derived in detail. The effect of the definition of coordinate time on scale is also examined. A long-arc solution using 3 years of laser range measurements of the motion of the Lageos satellite is used to demonstrate that the effects of relativity formulated in the geocentric RS and in the solar system barycentric RS are equivalent to a high degree of accuracy.
Huang Chan Chun
Ries John C.
Tapley Byron D.
Watkins Michael M.
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