The in-plane motion of a geosynchronous satellite under the gravitational attraction of the sun, the moon and the oblate earth

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrodynamics, Celestial Mechanics, Gravitational Effects, Synchronous Satellites, Earth Gravitation, Equations Of Motion, Lunar Gravitation, Oblate Spheroids, Solar Gravitation

Scientific paper

A numerical study of the in-plane motion of a GEO satellite under the effects of the sun, the moon, and the oblate earth is presented. The radial deviation and tangential deviation are determined. It is found that the sum of oscillatory terms in the radial deviation for different inclinations is a small finite quantity while the sum for the tangential deviations is large, due to the presence of low-frequency terms in the denominator. Results of calculations are given, showing the in-plane motion for the Frick (1967) case, the case of orbit in any plane, and the determination of the amplitudes of various oscillatory components.

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