A Search for Collision Orbits in the Free-Fall Three-Body Problem II

Details A Search for Collision Orbits in the Free-Fall Three-Body Problem II A Search for Collision Orbits in the Free-Fall Three-Body Problem II

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..76..157t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 76, Issue 3, p. 157-185 (2000).

Astronomy and Astrophysics

Astronomy

3

Planar Three-Body Problem, Final Motions, Binary And Triple Collisions, Planar Three-Body Problem, Final Motions, Binary And Triple Collisions

Scientific paper

A numerical procedure to systematically find collision orbits in the planar three-body problem has been developed in the preceding paper (Tanikawa et al., 1995). Using this procedure, a search for binary and triple collision orbits has been carried out in the free-fall three-body problem. Some detailed structures of a part of the initial value space are discussed. Various interesting orbits have been found. Examples are oscillatory orbits in which ejected particles change from ejection to ejection, and orbits which are not isosceles initially but nearly isosceles after escape. Some results of isosceles problems (Simó and Martínez, 1988) are extended to non-isosceles problems.

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