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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.

OriginalsprogEngelsk
TidsskriftJournal of geometric mechanics
Vol/bind7
Nummer1
Sider (fra-til)35-42
Antal sider8
ISSN1941-4889
DOI
StatusUdgivet - 2015

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