Three-dimensional branchings of plane periodic solutions

Details Three-dimensional branchings of plane periodic solutions Three-dimensional branchings of plane periodic solutions

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15...35m&link_type=abstract

Celestial Mechanics, vol. 15, Feb. 1977, p. 35-40.

Physics

2

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

Scientific paper

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.

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