ThreeDimensional Branchings of Plane Periodic Solutions
Abstract
In the case of the restricted threebody problem with small mass parameter a family of plane symmetric periodic orbits of the direct type around the large primary is found to have branches of threedimensional periodic orbits. One such branch has been established consisting of stable orbits for small deviations from the plane.
 Publication:

Celestial Mechanics
 Pub Date:
 February 1977
 DOI:
 10.1007/BF01229046
 Bibcode:
 1977CeMec..15...35M
 Keywords:

 Branching (Physics);
 Equations Of Motion;
 Orbital Mechanics;
 Periodic Variations;
 Three Body Problem;
 Three Dimensional Motion;
 Celestial Mechanics;
 Motion Stability;
 Orbit Perturbation;
 Particle Motion;
 Trajectory Analysis;
 Astronomy