On the stability of the lagrangian homographic solutions in a curved three-body problem on S 2

Regina Martínez, Carles Simó

Research output: Contribution to journalArticleResearchpeer-review

20 Citations (Scopus)

Abstract

The problem of three bodies with equal masses in S 2 is known to have Lagrangian homographic orbits. We study the linear stability and also a "practical" (or effective) stability of these orbits on the unit sphere.
Original languageEnglish
Pages (from-to)1157-1175
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number3
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Curved 3-body problem
  • Homographic orbits
  • Practical stability
  • Stability of solutions

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