Abstract
We prove the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori for (an “outer solar-system” model of) the planar (N + 1)-body problem.
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Biasco, L., Coglitore, F. Periodic orbits accumulating onto elliptic tori for the (N + 1)-body problem. Celest Mech Dyn Astr 101, 349–373 (2008). https://doi.org/10.1007/s10569-008-9154-5
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DOI: https://doi.org/10.1007/s10569-008-9154-5
Keywords
- N-body problem
- Periodic orbits
- Nearly-integrable Hamiltonian systems
- Lower-dimensional elliptic tori
- Planetary N-body problem