Some homoclinic phenomena in the three-body problem

Jaume Llibre, Carles Simó

Research output: Contribution to journalArticleResearchpeer-review

27 Citations (Scopus)


We prove the existence of transversal homoclinic points in the collinear three-body problem, restricted and general, and in the planar circular restricted three-body problem. As a consequence the shift of Bernoulli is proved to be included as a subsystem of a suitable section of the flow for the three cases studied. Then the existence of all the possible types of final evolution follows. © 1980, All rights reserved.
Original languageEnglish
Pages (from-to)444-465
JournalJournal of Differential Equations
Issue number3
Publication statusPublished - 1 Jan 1980

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