A new family of periodic orbits for the restricted problem

Details A new family of periodic orbits for the restricted problem A new family of periodic orbits for the restricted problem

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..25..195b&link_type=abstract

Celestial Mechanics, vol. 25, Oct. 1981, p.195-217.

Computer Science

2

Computerized Simulation, Orbital Mechanics, Particle Motion, Periodic Functions, Three Body Problem, Celestial Mechanics, Energy Transfer, Equations Of Motion, Particle Collisions, Three Dimensional Motion, Trajectory Analysis

Scientific paper

A new family of periodic orbits of the three-dimensional restricted three-body problem which continue off from a consecutive collision orbit are numerically studied. Their behavior for varying energy is unexpected. In particular, associated with our system is a countable set of resonant energy values and each time the energy passes through one of them the periodic orbit forms a loop by self-intersection. Any number of loops can form by this process and the resulting orbits take on an interesting appearance.

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