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Applicazioni del teorema di Nekhoroshev alla meccanica celeste

Giancarlo Benettin (2001)

Bollettino dell'Unione Matematica Italiana

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The application of Nekhoroshev theory to selected physical systems, interesting for Celestial Mechanics, is here reviewed. Applications include the stability of motions in the weakly perturbed Euler-Poinsot rigid body and the stability of the so-called Lagrangian equilibria L 4 , L 5 in the spatial circular restricted three-body problem. The difficulties to be overcome, which require a nontrivial extension of the standard Nekhoroshev theorem, are the presence of singularities in the fiber...