Long-period perturbations of the orbital elements of artificial earth satellites due to lunar gravitation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites, Long Term Effects, Lunar Gravitation, Orbital Elements, Satellite Perturbation, Artificial Satellites, Gravitational Effects, Harmonics

Scientific paper

Expressions are obtained for the first-order perturbations of the orbital elements of a satellite due to the second harmonic of lunar gravitation. The moon is considered a material point moving in a circular orbit around the center of mass of the earth, the origin of the rectangular coordinate system chosen. The perturbing function is expanded into an absolutely and uniformly convergent series of Legendre polynomials, of which only the second harmonic is considered. This function takes into account the relative eccentricity of the satellite's orbit. The deduced formulas are also suitable for the analysis of perturbations from the sun.

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