activity
20072023
most citedCorrelation of macroscopic instability and Lyapunov times in the general three-body problem

30 citations · 50 across the 7 of their papers we have counts for

collaborators

7 papers

physics.class-ph2023★ 9 cited

Three-body periodic collisionless equal-mass free-fall orbits revisited

Ivan Hristov, Radoslava Hristova, Veljko Dmitrašinović +1

Li and Liao announced (2019) discovery of 313 periodic collisionless orbits' initial conditions (i.c.s), 30 of which have equal masses, and 18 of these 30 orbits have physical peri…

astro-ph.SR2019★ 3 cited

A Transit of Venus Possibly Misinterpreted as an Unaided-Eye Sunspot Observation in China on 9 December 1874

Hisashi Hayakawa, Mitsuru Sôma, Kiyotaka Tanikawa +6

Large sunspots can be observed with the unaided eye under suitable atmospheric seeing conditions. Such observations are of particular value because the frequency of their appearanc…

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…

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…