A note on the dziobek central configurations

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© 2015 American Mathematical Society. For the Newtonian n-body problem in ℝn−2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n−1 equal masses located at the vertices of a regular (n−2)-simplex together with an arbitrary mass located at its barycenter.
Original languageEnglish
Pages (from-to)3587-3591
JournalProceedings of the American Mathematical Society
Issue number8
Publication statusPublished - 1 Jan 2015


  • Central configuration
  • N-body problem


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