Data di Pubblicazione:
2013
Citazione:
On the stability of the secular evolution of the planar Sun–Jupiter–Saturn–Uranus system / M. Sansottera, U. Locatelli, A. Giorgilli. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 88(2013 Feb), pp. 1-14.
Abstract:
We investigate the long time stability of the Sun-Jupiter-Saturn-Uranus system by considering the planar, secular model. Our method may be considered as an extension of Lagrange's theory for the secular motions. Indeed, concerning the planetary orbital revolutions, we improve the classical circular approximation by replacing it with a torus which is invariant up to order two in the masses; therefore, we investigate the stability of the elliptic equilibrium point of the secular system for small values of the eccentricities. For the initial data corresponding to a real set of astronomical observations, we find an estimated stability time of 107 years, which is not extremely smaller than the lifetime of the Solar System (∼5 Gyr).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Celestial Mechanics; exponential stability of Hamiltonian systems; KAM & Nekhoroshev theory; n-Body planetary problem; normal form methods
Elenco autori:
M. Sansottera, U. Locatelli, A. Giorgilli
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