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Periodic orbits accumulating onto elliptic tori for the (<Emphasis Type="Italic">N</Emphasis> + 1)-body problem |
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| Authors: | Luca Biasco Federico Coglitore |
| Institution: | 1.Dipartimento di Matematica,Università Roma Tre,Roma,Italy;2.Mathematisches Institut, Abt. für Reine Mathematik,Albert-Ludwigs-Universit?t,Freiburg i.Br.,Germany |
| 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. |
| Keywords: | N-body problem Periodic orbits Nearly-integrable Hamiltonian systems Lower-dimensional elliptic tori Planetary N-body problem |
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