The Cartan Geometry of the Rotating Kepler Problem
| GEOMETRY/DYNAMICAL SYSTEMS | |
| Topic: | The Cartan Geometry of the Rotating Kepler Problem |
| Speaker: | Otto van Koert |
| Affiliation: | Seoul National University |
| Date: | Friday, January 21 |
| Time/Room: | 4:00pm - 5:00pm/S-101 |
In this talk we shall discuss the Cartan geometry of the rotating Kepler problem. The rotating Kepler problem appears as the limit of the restricted planar three-body body when one of the masses goes to zero. As such, this problem plays the role of a simple approximation. We shall discuss the Cartan curvature and some of its relations with indices in the three-body problem. This is joint work with Kai Cieliebak and Urs Frauenfelder.