Ernesto P'erez-Chavela

most citedContinuations and bifurcations of relative equilibria for the positive curved three body problem

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math.CA2023★ 1 cited

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 $S^{2}$ . In this paper we study the extensions of the…

math.CA2023

A new method to study relative equilibria on $S^{2}$

Toshiaki Fujiwara, Ernesto Pérez-Chavela

We develop a new geometrical technique to study relative equilibria for a system of $n$ --positive masses, moving on the two dimensional sphere $S^{2}$ , under the influence o…

Continuations and bifurcations of relative equilibria for the positive curved three body problem

A new method to study relative equilibria on S2

A new method to study relative equilibria on $S^{2}$