Relative equilibria of the four-body problem

Richard Moeckel

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


By employing a regularizing transformation, the problem of bifurcation of relative equilibria in the Newtonian 4-body problem is reduced to a study of an algebraic correspondence between real algebraic varieties. The finiteness theorems of algebraic geometry are used to find an upper bound for the number of affine equivalence classes of relative equilibria which holds for all masses in the complement of a proper, algebraic subset of the space of all masses.

Original languageEnglish (US)
Pages (from-to)417-435
Number of pages19
JournalErgodic Theory and Dynamical Systems
Issue number3
StatePublished - Sep 1985


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