Doubly averaged effect of the moon and sun on a high altitude earth satellite orbit

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Lunar Gravitational Effects, Satellite Orbits, Satellite Perturbation, Series Expansion, Solar Gravitation, Eccentric Orbits, Eccentricity, Graphs (Charts), Numerical Integration, Orbital Elements, Perigees

Scientific paper

Infinite series expansions are obtained for the doubly averaged effects of the moon and sun on a high altitude earth satellite, and the results used to interpret numerically integrated examples. New in this paper are: (1) both sublunar and translunar satellites are considered, (2) analytic expansions include all powers in the satellite and perturbing body semi-major axes, (3) the fact that retrograde orbits have more benign eccentricity behavior than direct orbits should be exploited for high altitude satellite systems, and (4) near circular orbits can be maintained with small expenditures of fuel in the face of an exponential driving force on eccentricity.

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