Normalization of the Hamiltonian near \(L_4\) for small values of \(\mu\)

DOI10.1007/s12346-012-0079-8zbMath1282.70018OpenAlexW1991582319MaRDI QIDQ2393368

Dieter S. Schmidt

Publication date: 7 August 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-012-0079-8

zbMATH Keywords

periodic orbitsHamiltonianrestricted three body problemversal normal form

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

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• The web of periodic orbits at \(L_4\)
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• Canonical transformations depending on a small parameter
• Periodic orbits emanating from a resonant equilibrium
• The Trojan Manifold — Survey and Conjectures

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