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.