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A search for collision orbits in the free-fall three-body problem I. Numerical procedure |
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| Authors: | Kiyotaka Tanikawa Hiroaki Umehara Hiroshi Abe |
| Institution: | (1) Department of Astronomical Science, Graduate School of Advanced Studies, 181 Mitaka, Tokyo, Japan;(2) National Astronomical Observatory, 181 Mitaka, Tokyo, Japan;(3) Department of Science and Technology, Nihon University, Surugadai, 101 Kanda, Chiyoda, Tokyo, Japan |
| Abstract: | A numerical procedure is devised to find binary collision orbits in the free-fall three-body problem. Applying this procedure, families of binary collision orbits are found and a sequence of triple collision orbits are positioned. A property of sets of binary collision orbits which is convenient to search triple collision orbits is found. Important numerical results are formulated and summarized in the final section. |
| Keywords: | Three-body problem binary collisions triple collisions |
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