We have constructed an analytical model for an axisymmetric magnetosphere with azimuthal plasma flow. A dipole-like model of the geomagnetic field was used. It is shown that within the framework of this model of the magnetosphere, plasma at each magnetic shell moves with a constant angular velocity. The possibility of formation of a twin plasmapause is demonstrated. Abrupt changes in plasma density are directed across magnetic shells separating regions with strongly differing plasma velocities, as well as on the cylindrical surface whose radius coincides with the equatorial radius of the plasmapause.