I moti quasi periodici e la stabilita' del sistema solare. II: Dai tori di Kolmogorov alla stabilita' esponenziale
Articolo
Data di Pubblicazione:
2007
Citazione:
I moti quasi periodici e la stabilita' del sistema solare. II: Dai tori di Kolmogorov alla stabilita' esponenziale / A. Giorgilli. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. A. - ISSN 0392-4033. - 10:3(2007 Dec), pp. 465-495.
Abstract:
This is the second part of a note devoted to the problem of stability
of the solar system. The development of our knowledge in the last 50
years is considered, starting with the announcement of Kolmogorov's
theorem on persistence of quasi periodic motions in 1954. The problem
of applicability of the theorem to the planetary motions is discussed
taking also into account the wide numerical explorations of the
dynamics over billions of years performed during the last decades. It
is shown that the picture drawn by collecting these results leads to
the conclusion that chaos plays a non negligible role in the dynamical
evolution of the solar system. A possible reconciliation between
ordered quasi periodic motions and chaotic behaviour due to resonances
might be offered by the theory of exponential stability which is
illustrated in the final part of the note.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Meccanica Celeste, Astronomia, Sistema solare, Sistema planetario
Elenco autori:
A. Giorgilli
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