A pr 2 00 3 Periodic orbits close to elliptic tori and applications to the three - body problem Massimiliano Berti


We prove, under suitable non-resonance and non-degeneracy “twist” conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori (of Hamiltonian systems). We prove the applicability of this result to the spatial planetary three-body… (More)


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