Spatial p-q Resonant Orbits of the RTBP
Source: Celestial Mechanics and Dynamical Astronomy, Volume 84, Number 4, December 2002 , pp. 387-407(21)
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 α around the smaller primary, we will derive expressions for the final position and velocity on this sphere for the orbits under consideration.
Document Type: Research Article
Affiliations: 1: Departament d’Informàtica i Matemàtica Aplicada, Universitat de Girona, Av. Lluís Santaló, s/n, 17071, Girona, Spain, e-mail: email@example.com 2: IEEC & Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain, e-mail: firstname.lastname@example.org
Publication date: December 2002