Abstract
Two point vortices of strength • and • rotate along a circular trajectory around a common center of vorticity with constant angular velocity mo~--(~,+x2)/2mL ~, where L is the distance between the vortices. Taking into account that vortices are not point vortices considerably complicates the investigation of their interaction. Such an interaction has been studied analytically [2] only for a pair of identical vortices with strengths of like and unlike sign, when the dimensions of the vortices are much less than the distance between them. In this case, the fluid motion is steady in the frame of reerence which moves with the pair of vortices. It was shown that ellipses serve as boundaries of vortices; their semiminor axes are turned to each other and they move uniformly in the same direction as their semimajor axes.
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