Weakly dissipative systems in Celestial Mechanics
نویسنده
چکیده
We investigate the dynamics associated to nearly–integrable dissipative systems, with particular reference to some models of Celestial Mechanics which can be described in a weakly dissipative framework. We start by studying some paradigmatic models provided by the dissipative standard maps in 2 and 4 dimensions. The dynamical investigation is performed applying frequency analysis and computing the differential fast Lyapunov indicators. After recalling a few properties of adiabatic invariants, we provide some examples of nearly–integrable dissipative systems borrowed from Celestial Mechanics, and precisely the spin–orbit coupling and the 3–body problem. We conclude with a discussion on the existence of periodic orbits in dissipative autonomous and non–autonomous systems.
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