57 citations · 319 across the 26 of their papers we have counts for
4 papers · 2 filters
On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems
Anne-Sophie Libert, Marco Sansottera
We study the secular evolution of several exoplanetary systems by extending the Laplace-Lagrange theory to order two in the masses. Using an expansion of the Hamiltonian in the Poi…
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…