Satellite motion around an oblate planet: A perturbation solution for all orbital parameters
Abstract
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 Jsq approx. = .000001.
 Publication:

Ph.D. Thesis
 Pub Date:
 June 1989
 Bibcode:
 1989PhDT........46S
 Keywords:

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