Symmetric Relative Equilibria in the Four-Vortex Problem with Three Equal Vorticities

Ernesto Perez-Chavela, Manuele Santoprete, Claudia Tamayo

We examine in detail the relative equilibria of the 4-vortex problem when three vortices have equal strength, that is, ${\Gamma }_1={\Gamma }_2={\Gamma }_3=1$, and ${\Gamma }_4$ is a real parameter.…