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Motion near total collapse in the planar isosceles three-body problem

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Abstract

We describe in detail the qualitative behavior of solutions of the planar isosceles problem which come close to triple collision. Using a method of McGehee, one may describe a neighborhood of triple collision for any mass ratios. For sufficiently small mass ratios, we exhibit infinitely many distinct periodic and collision/ejection solutions of this problem.

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Authors and Affiliations

  1. Dept. of Mathematics, Boston University, 02215, Boston, Mass., USA

    Robert L. Devaney

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  1. Robert L. Devaney
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Partially supported by N.S.F. Grant MCS 81-01855.

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Devaney, R.L. Motion near total collapse in the planar isosceles three-body problem. Celestial Mechanics 28, 25–36 (1982). https://doi.org/10.1007/BF01230657

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  • DOI: https://doi.org/10.1007/BF01230657

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