Oscillatory orbits in the planar three-body problem with equal masses

Authors: Tanikawa, Kiyotaka¹; Umehara, Hiroaki²

Source: Celestial Mechanics and Dynamical Astronomy, Volume 70, Number 3, March 1998 , pp. 167-180(14)

Publisher: Springer

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Abstract:

In the free-fall three-body problem, distributions of escape, binary, and triple collision orbits are obtained. Interpretation of the results leads us to the existence of oscillatory orbits in the planar three-body problem with equal masses. A scenario to prove their existence is described.

Keywords: three-body problem; oscillatory motion; collision orbits

Document Type: Research article

DOI: http://dx.doi.org/10.1023/A:1008301405839

Affiliations: 1: National Astronomical Observatory, Mitaka, Tokyo, 181, Japan, Email: tanikawa@cc.nao.ac.jp 2: Kashima Space Research Center Communications Research Laboratory, Space Systems Section, Kashima, Japan,

Publication date: 1998-03-01