Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-06-13
Nonlinear Sciences
Chaotic Dynamics
5 pages, 6 figures
Scientific paper
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.
Sano Mitsusada M.
Tanikawa Kiyotaka
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