Circular and Elliptic Restricted Three Body Problems -- A Comparison
Classical Physics
2021-12-15 v1 Optimization and Control
Abstract
The elliptic restricted three body problem has been well studied. However, the previous formulations of the problem have used a rotating coordinate system to keep the positions of the primary and secondary on the x-axis. This requires the rotation rate of the rotating coordinate system to speed up and slow down. The approach here uses a rotating coordinate system with constant rotation rate. This formulation allows one to conveniently compare solutions of the elliptic problem with solutions of the circular restricted three body problem.
Keywords
Cite
@article{arxiv.2112.07352,
title = {Circular and Elliptic Restricted Three Body Problems -- A Comparison},
author = {Robert W. Easton},
journal= {arXiv preprint arXiv:2112.07352},
year = {2021}
}