Spatial p-q Resonant Orbits of the RTBP

Details Spatial p-q Resonant Orbits of the RTBP Spatial p-q Resonant Orbits of the RTBP

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..84..387b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 84, Issue 4, p. 387-407 (2002).

Astronomy and Astrophysics

Astronomy

1

Restricted Three-Body Problem, Close Encounters, Resonance

Scientific paper

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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