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.
Giorgilli, A., Locatelli, U., Sansottera, M. (2009). Kolmogorov and Nekhoroshev theory for the problem of three bodies. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 104, 159-173 [10.1007/s10569-009-9192-7].
Kolmogorov and Nekhoroshev theory for the problem of three bodies
LOCATELLI, UGO;
2009-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
