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Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations

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We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.

Original languageEnglish
JournalJournal of geometric mechanics
Pages (from-to)35-42
Number of pages8
Publication statusPublished - 2015

    Research areas

  • N-body problem, relative equilibria, vortices, celestial mechanics, central configurations, CENTRAL CONFIGURATIONS, BODIES

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