A note on a conjecture of Poincaré

Gerard Gómez, Jaume Llibre

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5 Citations (Scopus)


We prove the following weakened version of Poincaré's conjecture on the density of periodic orbits of the restricted three-body problem: The measure of Lebesgue of the set of bounded orbits which are not contained in the closure of the set of periodic orbits goes to zero when the mass parameter does. © 1981 D. Reidel Publishing Co.
Original languageEnglish
Pages (from-to)335-343
JournalCelestial mechanics
Publication statusPublished - 1 Aug 1981


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