Abstract:Abstract. The problem of constructing and classifying stationary equilibria of point vortices in the plane is studied. An ordinary differential equation that enables one to find positions of point vortices with circulations Γ1, Γ2, and Γ3 in stationary equilibrium is obtained. A necessary condition of an equilibrium existing is derived. The case of point vortex systems consisting of n + 2 point vortices with n vortices of circulation Γ 1 and two vortices of circulations Γ2 = aΓ1 and Γ3 = bΓ1, where a and b are… Show more
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