Three body relative equilibria on ${\mathbb{S}}^2$

Toshiaki Fujiwara, Ernesto Pérez-Chavela

We study relative equilibria ($RE$ in short) for three-body problem on ${\mathbb{S}}^2$, under the influence of a general potential which only depends on $\cos {\sigma }_{ij}$ where ${\sigma }_{ij}$…