57 citations · 73 across the 5 of their papers we have counts for
5 papers
Methods of algebraic manipulation in perturbation theory
Antonio Giorgilli, Marco Sansottera
We give a short introduction to the methods of representing polynomial and trigonometric series that are often used in Celestial Mechanics. A few applications are also illustrated.
Kolmogorov and Nekhoroshev theory for the problem of three bodies
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
We investigate the long time stability in Nekhoroshev's sense for the Sun-Jupiter-Saturn problem in the framework of the problem of three bodies. Using computer algebra in order to…
Su un'estensione della teoria di Lagrange per i moti secolari
Antonio Giorgilli, Ugo Locatelli, Marco Sansottera
La teoria di Lagrange per i moti secolari delle eccentricità ed inclinazioni delle orbite planetarie si fondava su un'approssimazione, dettata in larga misura dalla complessità dei…
On a theorem of Lyapounov
Antonio Giorgilli
It is shown that a Hamiltonian system in the neighbourhood of an equilibrium may be given a special normal form in case the eigenvalues of the linearized system satisfy non--resona…
On the representation of maps by Lie transforms
Antonio Giorgilli
The problem of representing a class of maps in a form suited for application of normal form methods is revisited. It is shown that using the methods of Lie series and of Lie transf…