From the restricted to the full three–body problem

DOI10.1090/S0002-9947-00-02542-3zbMath0999.70009OpenAlexW1556118554MaRDI QIDQ4942881

Kenneth R. Meyer, Dieter S. Schmidt

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02542-3

zbMATH Keywords

Hamiltonianbifurcationharmonic oscillatorfirst approximationsmall massHamiltonian-Hopf bifurcationsreduced three-body problem

Mathematics Subject Classification ID

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

Related Items (6)

An approximation theorem in classical mechanics ⋮ Invariant tori in Hamiltonian systems with high order proper degeneracy ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Multiscale KAM theorem for Hamiltonian systems ⋮ Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem ⋮ Persistence of Lagrange invariant tori at tangent degeneracy

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