Connections Between Critical Points in the Collision Manifold of the Planar 3-Body Problem

  • C. Simó
  • A. Susín
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 22)


We study the relative position of the invariant manifolds of the fixed points on the compactification of the so called non rotating triple collision manifold for the planar general three body problem. The results obtained allow to describe all the possible transition from the approach to triple collision to the escape from it. We also describe how these transitions change as a function of the masses of the three bodies in a domain of the space of masses and are completed by numerical simulations in the remainder set of masses.


Invariant Manifold Body Problem Binary Collision Final Index Triple Collision 
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Copyright information

© Springer-Verlag New York, Inc. 1991

Authors and Affiliations

  • C. Simó
    • 1
  • A. Susín
    • 2
  1. 1.Dept. de Matemática Aplicada i AnàlisiUniversitat de BarcelonaBarcelonaSpain
  2. 2.Dept. de Matemàtica Aplicada IUniversitat Politècnica de CatalunyaBarcelonaSpain

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