7 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
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…
The Rectilinar Three-body Problem using Symbol Sequence II. Role of the periodic orbits
Masaya Masayoshi Saito, Kiyotaka Tanikawa
We study the change of phase space structure of the rectilinear three-body problem when the mass combination is changed. Generally, periodic orbits bifurcate from the stable Schuba…
A new set of variables in the three-body problem
Kenji Hiro Kuwabara, Kiyotaka Tanikawa
We propose a set of variables of the general three-body problem both for two-dimensional and three-dimensional cases. Variables are or equivalently $(λ,θ,L,\dot{I}…