Binary and triple collisions causing instability in the free-fall three-body problem |
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| Authors: | Hiroaki Umehara Kiyotaka Tanikawa |
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| Institution: | (1) Communications Research Laboratory, Hirai, Kashima Space Research Center, Kashima, Ibaraki 314-0012, Japan;(2) National Astronomical Observatory, Mitaka, Tokyo 181-8588, Japan |
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| Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | three-body problem triple collision binary collision escape chaos |
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