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 μα around the smaller primary, we will derive expressions for the final position and velocity on this sphere for the orbits under consideration.
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References
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Barrabés, E., Gómez, G. Spatial p-q Resonant Orbits of the RTBP. Celestial Mechanics and Dynamical Astronomy 84, 387–407 (2002). https://doi.org/10.1023/A:1021137127909
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DOI: https://doi.org/10.1023/A:1021137127909