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Stability of hamiltonian quasi intergrable systems in the light of kam and nekhoroshev's theory with application to celestial mechanics

Objective



Application of classical perturbation theory to the problem of stability of orbits in classical dynamical systems.
More precisly, development of an integrated analytical and numerical (or semi-numerical) perturbation shceme for near to integrable Hamiltonian systems, based on the theorem of Kolmogorov, Arnold and Moser, and on the theorem of Nekhoroskev.
The analytical part consists of a constructive perturbation algorithm completed with all the necessary quantitative estimates.
The numerical part requires use of symbolic manipulations in order to compute explicitly the stability parameters of the theory.
Application is planned to problems of stability in celestial mechanics, e.g. the problem of three bodies. However, in view of the common mathematical structure, application to problems related to different fields is also not excluded.

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Address
Observatoire De La Côte D'azur, Bd. De L'observato
06304 Nice
France

Participants (1)

Not available
Italy