Stability of the Relative Equilibrium of Three Vortex Charges with Zero Total Intensity

摘要

The relative motion of three vortex charges with zero total intensity in a rotating baroclinic fluid is considered in the quasi-geostrophic approximation. The geometry and the linear stability of the relative equilibrium positions of the charges are analyzed. The motion parameter values are classified with respect to the number, type, and stability of equilibrium positions.