Se p 20 09 The Kepler Problem with Anisotropic Perturbations

@inproceedings{Diacu2009SeP2,
  title={Se p 20 09 The Kepler Problem with Anisotropic Perturbations},
  author={Florin Diacu and Manuele Santoprete},
  year={2009}
}
We study a 2-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree −β, β ≥ 2. For β > 2, the sets of initial conditions leading to collisions/ejections and the one leading to escapes/captures have positive measure. For β > 2 and β 6= 3, the flow on the zero-energy manifold is… CONTINUE READING