We give sufficient conditions to ensure the existence of symmetrical periodic orbits for a class of Hamiltonian systems having some singularities. The results are applied to different subproblems of the gravitational n-body problem where singularities appear due to collisions.
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 1 May 2012|
- N-body problem
- Qualitative methods
- Symmetric periodic orbits