Abstract
A simple model of a slowly rotating stellar or planetary atmospheric convection zone is considered supposing that only growing convective perturbations contribute to the value of nonlinear azimuthal force maintaining the differential rotation of the zone. Besides, the angular velocity of rotation is assumed to be dependent only on the distance to the center. It turns out that in this model some resonance phenomenon is possible, due to which a structure can be formed with a large rotation velocity gradient. This is caused by the interaction of two different azimuthal forces, one being proportional to either the angular velocity or its derivatives, while the other being determined by some mean value of the same velocity. The latter force appears in consequence of different time-dependence of the perturbations in rotating versus nonrotating convective zones. A hypothesis is put forward that fast rotation of the upper atmosphere of Venus is due to such resonance interaction.
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