Abstract
For problems with 3 or more bodies the blow up method allows to study the total collision manifold. In this manifold very hard binaries, with two bodies at a very small relative distance, can appear. Nearby motions, in the physical space, go away from the collision manifold with very high energy, travelling hyperbolically to infinity. In this work we analyze the neighborhood of the limit orbit (the collapsing binary) in the case of 3 bodies in the plane. This limit orbit goes from the triple collision manifold to infinity at an infinite speed.
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© 1990 Springer-Verlag
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Martínez, R., Simó, C. (1990). Blow up of collapsing binaries in the planar three body problem. In: Albert, C. (eds) Géométrie Symplectique et Mécanique. Lecture Notes in Mathematics, vol 1416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097476
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DOI: https://doi.org/10.1007/BFb0097476
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