Collinear relative equilibria of the planar N-body problem

Julian I. Palmore

Research output: Contribution to journalArticle


The following theorem is proved. THEOREM. For any n≥2, the set of collinear relative equilibria classes of the n-body problem generates by analytical continuation a total of n!(n+3)/2 relative equilibria classes of the n+1 body problem. Together with Arenstorf's results we state a general theorem for the 4 body problem with 3 arbitrary masses and 1 inferior mass.

Original languageEnglish (US)
Pages (from-to)17-24
Number of pages8
JournalCelestial Mechanics
Issue number1-2
StatePublished - Sep 1 1982


ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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