Physics
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..191d&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 29, Feb. 1983, p. 191-204.
Physics
1
Collision Parameters, Orbital Mechanics, Periodic Functions, Solar Orbits, Three Body Problem, Celestial Mechanics, Coplanarity, Inertial Reference Systems, Jupiter (Planet), Mass Ratios, Periodic Variations, Planetary Mass, Saturn (Planet), Solar System, Trajectory Analysis
Scientific paper
In the general three-body problem, in a rotating frame of reference, a symmetric periodic solution with a binary collision is determined by the abscissa of one body and the energy of the system. For different values of the masses of the three bodies, the symmetric periodic collision orbits form a two-parametric family. In the case of equal masses of the two bodies and small mass of the third body, the author found several symmetric periodic collision orbits similar to the corresponding orbits in the restricted three-body problem. Starting with one symmetric periodic collision orbit he obtained two families of such orbits. Also starting with one collision orbit in the Sun-Jupiter-Saturn system he obtained, for a constant value of the mass ratio of two bodies, a family of symmetric periodic collision orbits.
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