Analytic Lagrangian tori for the planetary many-body problem

DOI10.1017/S0143385708000503zbMath1173.37067arXiv1206.3475MaRDI QIDQ5322027

Luigi Chierchia, Fabio Pusateri

Publication date: 17 July 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3475

zbMATH Keywords

Lagrangian toriplanetary many-body problem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)

Related Items (9)

Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Families of invariant tori in KAM theory: interplay of integer characteristics ⋮ The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori ⋮ Aspects of the planetary Birkhoff normal form ⋮ Analytic intermediate dimensional elliptic tori for the planetary many-body problem ⋮ Invariant tori for a class of singly thermostated Hamiltonians ⋮ Flow reconstruction and invariant tori in the spatial three-body problem ⋮ On the holomorphic solutions of Hamiltonian equations of motion of point charges ⋮ Unnamed Item

Cites Work

• Elliptic two-dimensional invariant tori for the planetary three-body problem
• Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions
• Diophantine approximations on submanifolds of Euclidean space
• Elimination des noeuds dans le probleme newtonien des quatre corps
• Elimination of the nodes in problems ofn bodies
• Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman)
• Unicity of KAM tori

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