On the perturbations of a close-earth satellite due to lunar inequalities

Computer Science

Scientific paper

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Earth Orbits, Lunar Effects, Orbit Calculation, Satellite Perturbation, Disturbing Functions, Elliptical Orbits, Orbital Elements, Satellite Tracking, Series Expansion, Spherical Harmonics

Scientific paper

The lunar disturbing function for a close-earth satellite is expressed as a sum of products of harmonics of the satellite's position and harmonics of the moon's position, and the latter are expanded about a rotating and precessing elliptic orbit inclined to the ecliptic. The deviations of the moon from this approximate orbit are computed from Brown's lunar theory and the perturbations in satellite orbital elements due to these inequalities are derived. Numerical calculations indicate that several perturbations in the position of the satellite's node and perigee have magnitudes on the order of one meter.

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