Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems

Jaume Llibre, Donald G. Saari

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

Through the introduction of a new coordinate system followed by a Poincaré compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar threebody problem. © 1995 American Mathematical Society.
Original languageEnglish
Pages (from-to)3017-3030
JournalTransactions of the American Mathematical Society
Volume347
Issue number8
DOIs
Publication statusPublished - 1 Jan 1995

Keywords

  • Periodic orbits
  • Restricted problem
  • Three-body problem

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