Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..76..187u&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 76, Issue 3, p. 187-214 (2000).
Astronomy and Astrophysics
Astronomy
4
Three-Body Problem, Triple Collision, Binary Collision, Escape, Chaos, Three-Body Problem, Triple Collision, Binary Collision, Escape, Chaos
Scientific paper
Dominant factors for escape after the first triple-encounter are searched for in the three-body problem with zero initial velocities and equal masses. By a global numerical survey on the whole initial-value space, it is found that not only a triple-collision orbit but also a particular family of binary-collision orbits exist in the set of escape orbits. This observation is justified from various viewpoints. Binary-collision orbits experiencing close triple-encounter turn out to be close to isosceles orbits after the encounter and hence lead to escape. Except for a few cases, binary-collision orbits of near-isosceles slingshot also escape.
Tanikawa Kiyotaka
Umehara Hiroaki
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