Celestial Mechanics and Dynamical Astronomy

, Volume 62, Issue 4, pp 335–362 | Cite as

A search for collision orbits in the free-fall three-body problem I. Numerical procedure

  • Kiyotaka Tanikawa
  • Hiroaki Umehara
  • Hiroshi Abe


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.

Key words

Three-body problem binary collisions triple collisions 


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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Kiyotaka Tanikawa
    • 1
    • 2
  • Hiroaki Umehara
    • 1
  • Hiroshi Abe
    • 3
  1. 1.Department of Astronomical ScienceGraduate School of Advanced StudiesMitaka, TokyoJapan
  2. 2.National Astronomical ObservatoryMitaka, TokyoJapan
  3. 3.Department of Science and TechnologyNihon UniversityKanda, Chiyoda, TokyoJapan

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