Effect of general relativity on a near-Earth satellite in the geocentric and barycentric reference frames

Physics

Scientific paper

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Center Of Gravity, Earth Orbits, Geocentric Coordinates, Orbital Position Estimation, Relativistic Theory, Satellite Orbits, Earth Rotation, Quasars, Solar System, Very Long Base Interferometry

Scientific paper

Whether one uses a solar-system barycentric frame or a geocentric frame when including the general theory of relativity in orbit determinations for near-Earth satellites, the results should be equivalent to some limiting accuracy. The purpose of this paper is to clarify the effects of relativity in each frame and to demonstrate their equivalence through the analysis of real laser-tracking data. A correction to the conventional barycentric equations of motion is shown to be required.

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