Periodic Orbits and Binary Collisions in the Classical Coulomb Three-Body Problem

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In the helium case of the classical Coulomb three-body problem in two dimensions with zero angular momentum, we develop a procedure to find periodic orbits applying two symbolic dynamics for one-dimensional and planar problems. A sequence of periodic orbits are predicted and are actually found numerically. The results obtained here will be a cornerstone for finding the remaining periodic orbits, which needed for semiclassical applications such as periodic orbit quantization.
5 pages, 6 figures

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Chaotic Dynamics, Atomic Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/162955

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.2210
 http://arxiv.org/abs/0806.2210

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arXiv