24 citations · 122 across the 22 of their papers we have counts for
22 papers
Continuations and bifurcations of relative equilibria for the positive curved three body problem
Toshiaki Fujiwara, Ernesto Pérez-Chavela
The positive curved three body problem is a natural extension of the planar Newtonian three body problem to the sphere . In this paper we study the extensions of the…
A new method to study relative equilibria on
Toshiaki Fujiwara, Ernesto Pérez-Chavela
We develop a new geometrical technique to study relative equilibria for a system of --positive masses, moving on the two dimensional sphere , under the influence o…
Equal masses Eulerian relative equilibria on a rotating meridian of S^2
Toshiaki Fujiwara, Ernesto Pérez-Chavela
Relative equilibria on a rotating meridian on in equal-mass three-body problem under the cotangent potential are determined. We show the existence of scalene and iso…
Three-body relative equilibria on II: Extended Lagrangian configurations
Toshiaki Fujiwara, Ernesto Perez-Chavela
This is a natural continuation of our first paper \cite{pre}, where we develop a new geometrical technique which allow us to study relative equilibria on the two sphere. We conside…
Three-body relative equilibria on I: Euler configurations
Toshiaki Fujiwara, Ernesto Perez-Chavela
Using the properties of the angular momentum, we develop a new geometrical technique to study relative equilibria for a system of --bodies with positive masses, moving on the tw…
Variational principle of action and group theory for bifurcation of figure-eight solutions
Toshiaki Fujiwara, Hiroshi Fukuda, Hiroshi Ozaki
Figure-eight solutions are solutions to planar equal mass three-body problem under homogeneous or inhomogeneous potentials. They are known to be invariant under the transformation…