Ju n 20 09 Transition Tori in the Planar Restricted Elliptic Three Body Problem

@inproceedings{Capinski2009JuN2,
  title={Ju n 20 09 Transition Tori in the Planar Restricted Elliptic Three Body Problem},
  author={Maciej J. Capinski and Piotr Zgliczynski},
  year={2009}
}
We consider the elliptic three body problem as a perturbation of the circular problem. We show that for sufficiently small eccentricities of the elliptic problem, and for energies sufficiently close to the energy of the libration point L2, a Cantor set of Lapunov orbits survives the perturbation. The orbits are perturbed to quasi-periodic invariant tori. We… CONTINUE READING