An intermediate-averaged theory for high altitude orbits

Physics

Scientific paper

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Orbit Calculation, Orbital Mechanics, Satellite Orbits, Differential Equations, Equations Of Motion, Orbit Perturbation

Scientific paper

An analytic theory for the evolution of high altitude satellite orbits is developed in this note. The distinctive feature of the theory lies in the double averaging of the differential equations - once over the period of the orbit, and secondly over the period of the moon. This technique is called intermediate averaging to distinguish it from the conventional doubly averaged theories, and to denote the time scales inherent in the averaging technique.

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