Planetary Birkhoff normal forms

DOI10.3934/jmd.2011.5.623zbMath1320.70009OpenAlexW2326718723MaRDI QIDQ420782

Luigi Chierchia, Gabriella Pinzari

Publication date: 23 May 2012

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2011.5.623

zbMATH Keywords

Birkhoff normal form\(N\)-body problemplanetary systemlong-time stabilityBirkhoff invariants

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Orbital mechanics (70M20) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Normal forms for nonlinear problems in mechanics (70K45)

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