Periodic bounce orbits are generalizations of billiard
trajectories in the presence of a potential. Using an approximation
technique by Benci-Giannoni we prove existence of periodic bounce
orbits of prescribed energy. At...
The problem of capture in the planar restricted three-body
problem is addressed. In particular, weak capture is described,
which occurs at a complicated region called the weak stability
boundary, where the motion is...
The restricted 3-body problem has an intriguing dynamics. A deep
observation of Jacobi is that in rotating coordinates the problem
admits an integral. In joint work with P. Albers, G. Paternain and
O. van Koert, we...
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...
