Regularization of the Kepler problem on the Sphere
Dynamical Systems
2012-06-11 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we regularize the Kepler problem on in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to our problem. Finally, we show that the Moser regularization and the Ligon-Schaaf map we obtained can be understood as the composition of the corresponding maps for the Kepler problem in Euclidean space and the gnomonic transformation.
Keywords
Cite
@article{arxiv.1206.1757,
title = {Regularization of the Kepler problem on the Sphere},
author = {Shengda Hu and Manuele Santoprete},
journal= {arXiv preprint arXiv:1206.1757},
year = {2012}
}