The triple collision manifold in the isosceles case of the planar three-body problem

Mathematics

Scientific paper

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Celestial Mechanics, Collisions, Manifolds (Mathematics), Three Body Problem, Differential Equations

Scientific paper

Proven results of the general planar three-body problem are applied to the particular case of the planar isosceles problem. Attention is given to position and speed parameters, the associated differential system and equilibrium points. The triple collision manifold is described with regard to triple collision orbits, and the flow on this manifold is investigated.

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