Effective computations in hamiltonian dynamics

Abstract

Systems described by a Hamiltonian Dynamics and, in particular, Celestial Mechanics and Astrodynamics ( that is, the applications to spacecraft missions design) must be seen as an important class of Dynamical Systems. The machinery available for these systems, both conceptually and computationally, provides hints and methods for their study and interpretation. In this paper we shall discuss mainly sorne numerical and symbolical methods.