Motion of a Circular Cylinder and $N$ Point Vortices in a Perfect Fluid

The motion of a rigid circular cylinder and $N$ point vortices in an unbounded volume of perfect fluid is treated here on the basis of a potential framework. The formulas for the hydrodynamic force and moment acting upon a cylinder of arbitrary cross section are obtained. The equations governing the motion of a circular cylinder interacting with vortices are derived. For the greater part this paper coincides with [4] in which, however, only the case of one vortex was treated. It so happened that (due to a makeup man`s fault maybe) [4] was printed with no pictures in it. In this paper we reproduce those gures and extend the previous results.