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It is shown that the hydrodynamics equations for a thin spherical liquidlayer are satisfied by the stream function of a pair of antipodal vortices-APV,in contrast to the stream function of a single point vortex on a sphere with abackground of a uniform opposite sign vorticity. A simple zero solution of theequation of the absolute vorticity conservation is used for bypassingwell-known nonlinear problem of a point vortices interaction with regularvorticity field and an exact solution for APVs dynamics problem on a rotatingsphere is obtained. Due to this a new stable stationary solution for thedynamics of APV is obtained, which can model the dynamics of the global vortexstructures such as atmospheric centers of action.

Point vortices dynamics on a rotating sphere and modeling of global atmospheric vortices interaction