Linear stability of relative equilibria with a dominant mass

Richard Moeckel

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

A criterion for the linear stability of relative equilibria of the Newtonian n-body problem is found in the case when n-1 of the masses are small. Several stable periodic orbits of the problem are presented as examples.

Original languageEnglish (US)
Pages (from-to)37-51
Number of pages15
JournalJournal of Dynamics and Differential Equations
Volume6
Issue number1
DOIs
StatePublished - Jan 1 1994

Keywords

  • Celestial mechanics
  • relative equilibria
  • stability

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