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nlin.CD2008
Periodic Orbits and Binary Collisions in the Classical Coulomb Three-Body Problem
Mitsusada M. Sano, Kiyotaka Tanikawa
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 dy…
nlin.CD2008★ 7 cited
A trial symbolic dynamics of the planar three-body problem
Kiyotaka Tanikawa, Seppo Mikkola
Symbolic dynamics is applied to the planar three-body problem. Symbols are defined on the planar orbit when it experiences a syzygy crossing. If the body i is in the middle at the…