82 citations · 273 across the 13 of their papers we have counts for
3 papers · 1 filter
The Cartan geometry of the rotating Kepler problem
Kai Cieliebak, Urs Frauenfelder, Otto van Koert
We investigate the Cartan and Finsler geometry of the rotating Kepler problem, a limit case of the restricted three body problem that arises if the mass of the one of the primaries…
Displaceability and the mean Euler characteristic
Urs Frauenfelder, Felix Schlenk, Otto van Koert
In this note we show that the mean Euler characteristic of equivariant symplectic homology is an effective obstruction against the existence of displaceable exact contact embedding…
Global surfaces of section in the planar restricted 3-body problem
Peter Albers, Joel W. Fish, Urs Frauenfelder +2
The restricted planar three-body problem has a rich history, yet many unanswered questions still remain. In the present paper we prove the existence of a global surface of section…