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

Devaney, R.L.

Celestial Mechanics 28(1-2): 25-36

1982


ISSN/ISBN: 1572-9478
Accession: 085761976

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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 Mc Gehee, 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.