Symmetric central configurations of the spatial n-body problem

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Abstract

We characterize the non-planar central configurations of the spatial n-body problem with equal masses which are orbits of a finite group of isometries of R 3. As a corollary we obtain that the spatial n-body problem with equal masses and n > 5 has at least two equivalence classes of non-planar central configurations modulo homotheties and rotations. © 1989.
Original languageEnglish
Pages (from-to)367-394
JournalJournal of Geometry and Physics
Volume6
DOIs
Publication statusPublished - 1 Jan 1989

Keywords

  • n-body problem
  • symmetries

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