On the dynamics and topology of the elliptic rectilinear restricted 3-body problem

Ernesto A. Lacomba, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

We study a symmetric collinear restricted 3-body problem, where the equal mass primaries perform elliptic collisions, while a third massless body moves in the line between the primaries, during the time between two consecutive elliptic collisions. After desingularizing binary and triple collisions, we prove the existence of a transversal heteroclinic orbit beginning and ending in triple collision. This orbit is the unique homothetic orbit that the problem possess. Finally, we describe the topology of the compact extended phase space.
Original languageEnglish
Pages (from-to)1-15
JournalCelestial Mechanics and Dynamical Astronomy
Volume77
DOIs
Publication statusPublished - 1 Jan 2000

Keywords

  • 3-body problem
  • Collinear restricted problem
  • Regularization

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