TITLE:
Some models for the Trojan motion

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 triangular
points of the Sun-Jupiter system. To try to account for the effect of
Saturn (and to simulate in a more realistic way the Sun-Jupiter
relative motion), we develop specific models based on the numerical
computation of periodic and quasi-periodic (with two frequencies)
solutions of the planar three body problem Sun-Jupiter-Saturn and
write them as perturbations of the Sun-Jupiter RTBP.
