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

Marshall Hampton*, Anders Nedergaard Jensen

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

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
JournalJournal of geometric mechanics
Volume7
Issue1
Pages (from-to)35-42
Number of pages8
ISSN1941-4889
DOIs
Publication statusPublished - 2015

Keywords

  • N-body problem
  • relative equilibria
  • vortices
  • celestial mechanics
  • central configurations
  • CENTRAL CONFIGURATIONS
  • BODIES

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