Aspects of the planetary Birkhoff normal form

DOI10.1134/S1560354713060178zbMath1320.70007arXiv1310.0181OpenAlexW1980524794MaRDI QIDQ2449304

Gabriella Pinzari

Publication date: 7 May 2014

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0181

zbMATH Keywords

steepnessBirkhoff normal formaveraging theoryArnold's theorem on the stability of planetary motionsNehorošev theoryplanetary many-body problemproperly-degenerate KAM theory

Mathematics Subject Classification ID

Three-body problems (70F07) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) (n)-body problems (70F10) Normal forms for nonlinear problems in mechanics (70K45)

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