Kolmogorov and Nekhoroshev theory for the problem of three bodies View Full Text


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Article Info

DATE

2009-06

AUTHORS

Antonio Giorgilli, Ugo Locatelli, Marco Sansottera

ABSTRACT

We investigate the long time stability in Nekhoroshev’s sense for the Sun– Jupiter–Saturn problem in the framework of the problem of three bodies. Using computer algebra in order to perform huge perturbation expansions we show that the stability for a time comparable with the age of the universe is actually reached, but with some strong truncations on the perturbation expansion of the Hamiltonian at some stage. An improvement of such results is currently under investigation. More... »

PAGES

159-173

References to SciGraph publications

  • 1995-07. Stability of the planetary three-body problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1995-03. Superexponential stability of KAM tori in JOURNAL OF STATISTICAL PHYSICS
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  • 1989-03. A numerical experiment on the chaotic behaviour of the Solar System in NATURE
  • 1967-03. Convergent series expansions for quasi-periodic motions in MATHEMATISCHE ANNALEN
  • 1999. Introduction to Frequency Map Analysis in HAMILTONIAN SYSTEMS WITH THREE OR MORE DEGREES OF FREEDOM
  • 1990-03. On the stability of the lagrangian points in the spatial restricted problem of three bodies in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2008-09. On the connection between the Nekhoroshev theorem and Arnold diffusion in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1997-01. Invariant KAM tori and global stability for Hamiltonian systems in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1997-03. Kolmogorov theorem and classical perturbation theory in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10569-009-9192-7

    DOI

    http://dx.doi.org/10.1007/s10569-009-9192-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1021916524


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