Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

DOI10.1090/memo/1218zbMath1421.70025arXiv1501.04470OpenAlexW2963790141WikidataQ129612554 ScholiaQ129612554MaRDI QIDQ5376456

Gabriella Pinzari

Publication date: 18 September 2018

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04470

zbMATH Keywords

quasi-periodic motionssymmetriescanonical coordinatesDeprit's reductionJacobi's reductionperihelia reductionArnold's theorem on the stability of planetary motions.

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (max. 100)

Quantitative \textsc{kam} theory, with an application to the three-body problem ⋮ Families of invariant tori in KAM theory: interplay of integer characteristics ⋮ Euler integral and perihelion librations ⋮ A first integral to the partially averaged Newtonian potential of the three-body problem ⋮ Global Kolmogorov tori in the planetary \(N\)-body problem. Announcement of result ⋮ Lonely planets and lightweight asteroids: a statistical mechanics model for the planetary problem

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