Satellite motion around an oblate earth: A perturbation solution for all orbital parameters. I  Equatorial and polar orbits
Abstract
The search for a universal solution of the equations of motion for a satellite orbiting an oblate earth is a subject that has merited great interest because of its theoretical and practical implications. 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 higher order solution to the problem of a satellite, in an equatorial or polar orbit perturbed by the oblateness of the earth, is displayed. The orbit is free of singularities for all parameters and should be valid for 160 revolutions with a relative error of the order 10 to the 6th.
 Publication:

Astrodynamics 1989
 Pub Date:
 1990
 Bibcode:
 1990asdy.conf.1217D
 Keywords:

 Equatorial Orbits;
 Orbit Perturbation;
 Polar Orbits;
 Satellite Orbits;
 Spacecraft Motion;
 Equations Of Motion;
 Orbital Elements;
 Astrodynamics