TITLE:
Spatial p-q resonant orbits of the RTBP
AUTHORS:
Esther Barrabes
Departament d'Informatica i Matematica Aplicada,
Universitat de Girona,
Av. Lluis Santalo, s/n, 17071 Girona, Spain.
barrabes@ima.udg.es
Gerard Gomez
IEEC & Departament de Matematica Aplicada i Analisi,
Universitat de Barcelona,
Gran Via 585, 08007 Barcelona, Spain.
gomez@cerber.mat.ub.es
ABSTRACT:
The purpose of this paper is to extend the study of the so called
p-q resonant orbits of the planar restricted three body problem
to the spatial case. The p-q resonant orbits are solutions of the
restricted three body problem which have consecutive close encounters
with the smaller primary. If E, M and P denote the larger
primary, the smaller one and the infinitesimal body, respectively,
then p and q are the number of revolutions that P gives around
M and M around E, respectively, between two consecutive close
approaches. For fixed values of p and q and suitable initial
conditions on a sphere of radius \mu^{\alpha} around the smaller
primary, we will derive expressions for the final position and
velocity on this sphere for the orbits under consideration.