Generic finiteness for Dziobek configurations

Richard Moeckel

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


The goal of this paper is to show that for almost all choices of n masses, mi, there are only finitely many central configurations of the Newtonian ?i-body problem for which the bodies span a space of dimension n -2 (such a central configuration is called a Dziobek configuration). The result applies in particular to two-dimensional configurations of four bodies and threedimensional configurations of five bodies.

Original languageEnglish (US)
Pages (from-to)4673-4686
Number of pages14
JournalTransactions of the American Mathematical Society
Issue number11
StatePublished - 2001


  • Celestial mechanics
  • Central configurations
  • N-body problem

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