Relative equilibria with clusters of small masses

Richard Moeckel

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Relative equilibria of the Newtonian n-body problem are studied in the limiting case where some of the masses tend to zero. The small masses may form clusters. Equations for these clusters are derived and analyzed. Stability conditions for the resulting periodic orbits of the n-body problem are given.

Original languageEnglish (US)
Pages (from-to)507-533
Number of pages27
JournalJournal of Dynamics and Differential Equations
Volume9
Issue number4
DOIs
StatePublished - 1997

Bibliographical note

Funding Information:
This research was supported by the NSF.

Keywords

  • Celestial mechanics
  • N-body problem
  • Relative equilibria

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