TITLE:
Restricted four and five-body problems in the Solar system

AUTHORS:
Frederic Gabern and Angel Jorba
Departament de Matematica Aplicada i Analisi
Universitat de Barcelona
Gran Via 585 08007 Barcelona, Spain
E-mails: gabern@mat.ub.es, angel@maia.ub.es

ABSTRACT:
We focus on the dynamics of a small particle near the Lagrangian
points of the Sun-Jupiter system. To try to account for the effect of
other planets, such as Saturn or Uranus, we develop specific models
based on the numerical computation of periodic and quasi-periodic
(with two frequencies) solutions of the N-body problem and write them
as perturbations of the Sun-Jupiter restricted Three Body Problem.
