Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates

Jaume Llibre, Luci Any Roberto

Research output: Contribution to journalArticleResearchpeer-review

Abstract

By using the continuation method of Poincaré, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3-body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit. © 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)58-65
JournalNonlinear Analysis, Theory, Methods and Applications
Volume71
Issue number1-2
DOIs
Publication statusPublished - 1 Jul 2009

Keywords

  • Circular orbit
  • Collision restricted 3-body problem
  • Continuation method
  • Elliptic orbit
  • Periodic orbit
  • Symmetric periodic orbit

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