A New Analysis of the Three–Body Problem

Jerome Daquin, Sara Di ruzza, Gabriella Pinzari

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)peer-review

Abstract

In the recent papers [5, 18], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as
neighbouring integrable system, the so–called two–centre (or Euler) problem and a suitable canonical setting proposed in [16, 17]. Here we review such results.
Original languageEnglish
Title of host publicationSpringer Proceedings in Mathematics & Statistics
Subtitle of host publicationNew Frontiers of Celestial Mechanics: Theory and Applications
PublisherSpringer Publisher
Chapter2
Volume399
Publication statusPublished - 2022

Keywords

  • Two–centers problem
  • Three–body problem
  • Renormalizable integrability
  • Perihelion librations
  • Chaos

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