30 citations · 50 across the 7 of their papers we have counts for
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astro-ph2007★ 1 cited
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…
astro-ph2007★ 30 cited
Correlation of macroscopic instability and Lyapunov times in the general three-body problem
Seppo Mikkola, Kiyotaka Tanikawa
We conducted extensive numerical experiments of equal mass three-body systems until they became disrupted. The system lifetimes, as a bound triple, and the Lyapunov times show a co…
nlin.CD2007
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}…