Central configurations of nested regular polyhedra for the spatial 2 n-body problem

M. Corbera, J. Llibre

Research output: Contribution to journalArticleResearchpeer-review

21 Citations (Scopus)

Abstract

We consider 2 n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the inner and the outer polyhedra there exists a unique ratio of the length of the edges of the inner and the outer polyhedra such that the configuration is central. © 2008 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1241-1252
JournalJournal of Geometry and Physics
Volume58
DOIs
Publication statusPublished - 1 Sep 2008

Keywords

  • 2 n-body problem
  • 70F10
  • 70F15
  • Classical mechanics
  • Nested regular polyhedra
  • Spatial central configurations

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