Three-Dimensional Branchings of Plane Periodic Solutions
Abstract
In the case of the restricted three-body 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 three-dimensional 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