Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations

Marshall Hampton, Anders Nedergaard Jensen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.

Original languageEnglish (US)
Pages (from-to)35-42
Number of pages8
JournalJournal of Geometric Mechanics
Volume7
Issue number1
DOIs
StatePublished - Mar 1 2015

Keywords

  • Celestial mechanics
  • Central configurations
  • N-body problem
  • Relative equilibria
  • Vortices

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