The symmetric central configurations of the 4-body problem with masses m<inf>1</inf> = m<inf>2</inf> ≠ m<inf>3</inf> = m<inf>4</inf>

Martha Alvarez-Ramírez, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

We characterize the planar Central configurations of the 4-body problem with masses m1=m2≠m3=m4 which have an axis of symmetry. It is known that this problem has exactly two classes of convex Central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid. We show that this 4-body problem also has exactly two classes of concave Central configurations with the shape of a kite, this proof is assisted by computer. © 2012 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)5996-6001
JournalApplied Mathematics and Computation
Volume219
Issue number11
DOIs
Publication statusPublished - 29 Jan 2013

Keywords

  • 4-Body problem
  • Central configuration
  • Convex and concave central configurations

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