Data di Pubblicazione:
2000
Citazione:
Invariant tori in the secular motions of the three-body planetary systems / U. Locatelli, A. Giorgilli. - In: CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. - ISSN 0923-2958. - 78:1-4(2000), pp. 47-74.
Abstract:
We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies. In the framework of the averaged dynamics over the fast angles for the Sun–Jupiter–Saturn system we can prove the perpetual stability of the orbit. The proof is based on semi-numerical algorithms requiring both explicit algebraic manipulations of series and analytical estimates. The proof is made rigorous by using interval arithmetics in order to control the numerical errors
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
KAM theory ; stability in planetary motion ; three-body problem ; computer-assisted proofs
Elenco autori:
U. Locatelli, A. Giorgilli
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