Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories

DOI10.1134/S156035471701004XzbMath1390.70020arXiv1702.04894OpenAlexW2587394753MaRDI QIDQ1707952

Ugo Locatelli, Antonio Giorgilli, Marco Sansottera

Publication date: 4 April 2018

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

Full work available at URL: https://arxiv.org/abs/1702.04894

zbMATH Keywords

exponential stabilityHamiltonian systemsKAM theorycelestial mechanicsNekhoroshev theory\(n\)-body planetary problemnormal form methods

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) 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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