An analytical singularity-free solution to the J2 perturbation problem
Abstract
The development of a singularity-free solution of the J2 problem in satellite theory is presented. The procedure resembles that of Lyndane who rederives Brouwer's satellite theory using Poincare elements. A comparable procedure is used in this report in which the satellite theory of Scheifele, who used elements similar to the Delaunay elements but in the extended phase space, is rederived using Poincare elements also in the extended phase space. Only the short-period effects due to J2 are included.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- July 1979
- Bibcode:
- 1979STIN...7930271B
- Keywords:
-
- Perturbation Theory;
- Poincare Spheres;
- Problem Solving;
- Satellite Perturbation;
- Von Zeipel Method;
- Canonical Forms;
- Hamiltonian Functions;
- Orbital Mechanics;
- Poincare Problem;
- Similarity Theorem;
- Astrodynamics