Physics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..18....9b&link_type=abstract
Celestial Mechanics, vol. 18, July 1978, p. 9-50. Translation.
Physics
6
Celestial Mechanics, Orbital Mechanics, Three Body Problem, Collisions, Curves (Geometry), Hamiltonian Functions, Hyperspaces, Orbital Elements, Periodic Functions, Two Body Problem
Scientific paper
Periodic and consecutive-collision solutions to the plane circular restricted three-body problem are considered for the case where mu equals zero. A global section of phase space is introduced in order to examine the mutual arrangement of the solutions in phase space; each solution is represented in the global section by at least one point, while families of solutions are represented by curves. Sideral and synodic orbits are generated for the appropriate two-body problem, and several families of consecutive-collision orbits are obtained for the three-body problem. Synodic consecutive-collision orbits are then plotted for the case where mu equals zero. Ten families of orbits are described. A number of theorems, problems, and proofs are presented.
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