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Part of the book series: NATO ASI Series ((NSSB,volume 272))

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Abstract

In the three body problem the triple collision manifold plays a fundamental role to describe passages near triple collision. To study the possible transitions from the approach to collision to the escape from it, the invariant submanifolds on that manifold are essential. In this paper we study mainly the connections between the equilateral approaches and escapes.

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References

  1. Moeckel, R., Chaotic Dynamics Near Triple Collision, Arch. Rat. Mechanics and Analysis 107 (1989), 37–70.

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© 1991 Plenum Press, New York

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Susín, A., Simó, C. (1991). Equilibrium Connections on the Triple Collision Manifold. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_42

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_42

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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