Effective Stability of Hamiltonian Planetary Systems
speaker: Marco Sansottera (Università degli Studi di Roma Tor Vergata -- Matematica)abstract: The stability of the Solar System is a classical, long standing and challenging problem, already pointed out by Newton.
In this talk I revisit the problem in the light of Kolmogorov and Nekhoroshev theorems, with the aim of proving that they apply to realistic approximations of the Sun-Jupiter-Saturn and Sun-Jupiter-Saturn-Uranus sytems.
The present work is devoted to the study of three main problems, namely: (i) the applicability of Kolmogorov and Nekhoroshev theory to the problem of three bodies; (ii) the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system; (iii) the explicit construction of the normal form for elliptic tori in planetary systems.
This is a joint work with A. Giorgilli and U. Locatelli.
timetable:
Sat 19 Feb, 9:00 - 9:45, Aula Bianchi Scienze
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