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The restricted three body problem revisited
Authors:Weronika Barwicz
Affiliation:Institute of Mathematics, University of Warsaw, 02-097 Warsaw, Poland
Abstract:We present a new computation of the Birkhoff normal form for the Hamiltonian of the restricted three body problem near the Lagrangian libration points. This leads to a new proof of the Lyapunov stability of these points.
Keywords:Restricted three body problem   Triangular libration points   The KAM theorem
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