1206.1757 (Shengda Hu et al.)

Regularization of the Kepler problem on the Sphere    [PDF]

Shengda Hu, Manuele Santoprete

In this paper we regularize the Kepler problem on $S^3$ 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.

View original: http://arxiv.org/abs/1206.1757