On the periodic orbits and the integrability of the regularized Hill lunar problem

DOI10.1063/1.3618280zbMath1272.70061OpenAlexW2069494203MaRDI QIDQ2849734

Jaume Llibre, Luci Any Roberto

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150417

zbMATH Keywords

Levi-Civita regularization

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (1)

Fiberwise convexity of Hill’s lunar problem

Cites Work

• Nonlinear differential equations and dynamical systems
• New families of periodic orbits in Hill's problem of three bodies
• Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
• Non-continuation of integrals of the rotating two-body problem in Hill's lunar problem
• DOUBLY-SYMMETRIC PERIODIC SOLUTIONS OF HILL'S LUNAR PROBLEM
• Periodic orbits and non-integrability of Hénon–Heiles systems
• Integrability and non-integrability in Hamiltonian mechanics
• Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems
• Algebraic proof of the non-integrability of Hill's problem
• Non-integrability of Hill's lunar problem.
• Global bifurcations of periodic solutions of the Hill lunar problem

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