The Collision Manifold of the Collinear One-Bumper Two-Body Problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collision Manifolds, Bifurcation, Collision Manifolds, Bifurcation

Scientific paper

We present a special model which is a caricature of the collinear
three-body problem. Near triple-collision behavior for the model is
governed by the collision manifold. We study the bifurcations of the
dynamics on this manifold as we vary the ratio of masses. Both analytic
and numerical results are presented.

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