Recent developments in perturbation theory
of classical hamiltonian systems

by Antonio Giorgilli

**Abstract:**
The methods of classical perturbation theory are revisited in
the light of a rigorous algebraic approach and of Nekhoroshev's theorem
on stability over exponentially large times. The applications to the
restricted three body problem and to a statistical model of a diatomic
gas of identical molecules are illustrated, with the aim of giving good
estimates for the size of the stability region and for the dependence on
the number of degrees of freedom.

*Nonlinear dynamics*,
G. Turchetti ed., pp 30-43, World Scientific (1989)

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