Satellite motion around an oblate planet: A perturbation solution for all orbital parameters

Statistics – Applications

Scientific paper

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Equations Of Motion, Orbital Mechanics, Planets, Satellite Orbits, Satellite Perturbation, Errors, Problem Solving

Scientific paper

The search for a universal solution of the equations of motion for satellite orbiting an oblate planet is a subject that has merited great interest because of its theoretical implications and practical applications. The discovery of such a solution should motivate a reassessment of both the theories that exhibit singularities and the physical effects implied by singularities. The practical importance of such a solution is the efficiency of simple analytic formulas in predicting simultaneously the paths of large numbers of satellites in a multitude of orbits. Here, a complete first order solution to the problem of a satellite, perturbed only by the oblateness of the Earth, is displayed. The orbit is free of singularities for all parameters and is valid for 1000 revolutions with a relative error of the order J-sq approx. = .000001.

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