Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 943-975 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 17 |
| DOIs | |
| Publication status | Published - 1 May 2012 |
Keywords
- Collisions
- N-body problem
- Qualitative methods
- Symmetric periodic orbits
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