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The restricted three body problem revisited

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Publication:961065
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DOI10.1016/j.jmaa.2009.12.057zbMath1379.70037OpenAlexW2044008392MaRDI QIDQ961065

Weronika Barwicz, Henryk Żołądek

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.057


zbMATH Keywords

KAM theoremtriangular libration pointsrestricted three body problem


Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05)


Related Items

Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula ⋮ Hamiltonian normalization in the restricted many-body problem by computer algebra methods



Cites Work

  • PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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