Data di Pubblicazione:
2009
Citazione:
Kolmogorov and Nekhoroshev theory for the problem of three bodies / A. Giorgilli, U. Locatelli, M. Sansottera. - In: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. - ISSN 0923-2958. - 104:1(2009), pp. 159-175. [10.1007/s10569-009-9192-7]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Exponential stability; KAM theory; Kolmogorov theorem; Nekhoroshev theory; Perturbation theory; Sun-Jupiter-Saturn system
Elenco autori:
A. Giorgilli, U. Locatelli, M. Sansottera
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