KAM stability estimates in Celestial Mechanics

A review of KAM stability estimates in Celestial Mechanics is presented. Ro tational and librational invariant surfaces are constructed to ensure confi nement in the phase space of a model obtained in the spin-orbit coupling be tween the revolutional and rotational motions of a satellite around a prima ry body. Stability of invariant tori for the restricted, circular, planar t hree body problem is also presented. Finally, an application of Arnold's th eorem to the inclined planetary problem is briefly discussed. (C) 1998 Else vier Science Ltd. All rights reserved.