A Search for Collision Orbits in the Free-Fall Three-Body Problem. I. Numerical Procedure

Astronomy and Astrophysics – Astronomy

Scientific paper

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Three-Body Problem, Binary Collisions, Triple Collisions

Scientific paper

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.

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