Satellite orbits perturbed by direct solar radiation pressure - General expansion of the disturbing function

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Radiation Pressure, Satellite Perturbation, Solar Radiation, Astrodynamics, Kepler Laws, Resonance, Solar Orbits

Scientific paper

An expression is derived for the solar radiation pressure disturbing function on an earth satellite orbit which takes into account the variation of the solar radiation flux with distance from the sun's center and the absorption of radiation by the satellite. This expression is then expanded in terms of the Keplerian elements of the satellite and solar orbits using Kaula's method. The Kaula inclination functions are replaced by an equivalent set of modified Allan inclination functions. The resulting expression reduces to the form commonly used in solar radiation pressure perturbation studies when certain terms are neglected. If, as happens quite often in practice, a satellite's orbit is in near-resonance with certain of these neglected terms, these near-resonant terms can cause changes in the satellite's orbital elements comparable to those produced by the largest term in Aksnes's expression (1976).

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