Construction of Kolmogorov's normal form for a planetary system

DOI10.1070/RD2005v010n02ABEH000309zbMath1128.70304OpenAlexW2148670015MaRDI QIDQ2569547

Ugo Locatelli, Antonio Giorgilli

Publication date: 28 October 2005

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

Full work available at URL: http://www.turpion.org/php/paper.phtml?journal_id=rd&paper_id=309

zbMATH Keywords

three-body problem\(n\)-body problemKAM theoryHamiltonian systemcelestial mechanicsperturbations methods

Mathematics Subject Classification ID

Three-body problems (70F07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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