The Conley-Zehnder indices of the rotating Kepler problem
Symplectic Geometry
2013-02-14 v1 Dynamical Systems
Abstract
We determine the Conley-Zehnder indices of all periodic orbits of the rotating Kepler problem for energies below the critical Jacobi energy. Consequently, we show the universal cover of the bounded component of the regularized energy hypersurface is dynamically convex. Moreover, in the universal cover there is always precisely one periodic orbit with Conley-Zehnder index 3, namely the lift of the doubly covered retrograde circular orbit.
Keywords
Cite
@article{arxiv.1201.2032,
title = {The Conley-Zehnder indices of the rotating Kepler problem},
author = {Peter Albers and Joel W. Fish and Urs Frauenfelder and Otto van Koert},
journal= {arXiv preprint arXiv:1201.2032},
year = {2013}
}
Comments
18 pages, 3 figures