Strong λ-lemma and second species periodic solutions of the 3-body problem
DOI:
https://doi.org/10.11606/issn.2316-9028.v6i2p351-363Abstract
Quite recently Bolotin and N. developed a variational approach to the existence of second species periodic solutions for the nonrestricted 3 body problem [2]. An important part of this paper is based on an analog of Shilnikov Lemma (also called strong λ- lemma) for hamiltonian systems possessing a non degenerate normally hyperbolic critical symplectic manifold. The complete proof of the Lemma was postponed to a future publication [3]: in this paper we anticipate a part of the results.Downloads
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Published
2012-12-30
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Strong λ-lemma and second species periodic solutions of the 3-body problem. (2012). The São Paulo Journal of Mathematical Sciences, 6(2), 351-363. https://doi.org/10.11606/issn.2316-9028.v6i2p351-363