The relativistic equations of motion for a satellite in orbit about a finite-size, rotating earth

Details The relativistic equations of motion for a satellite in orbit about a finite-size, rotating earth The relativistic equations of motion for a satellite in orbit about a finite-size, rotating earth

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..39...15v&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 39, May 1986, p. 15-21.

Physics

9

Earth Rotation, Equations Of Motion, Relativistic Effects, Satellite Orbits, Spacecraft Motion, Gauge Theory, Newton Theory, Orbit Calculation

Scientific paper

The relativistic equations of motion are derived for N self-gravitating, rotating finite bodies. These equations are then applied to the near-Earth satellite orbit determination problem. The apparent change of the shape of the Earth from the Earth centered frame to the Solar System barycentric frame changes the value of the Newtonian potential term in the metric. This in turn leads to a simplification of the equations of motion in the barycentric frame.

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