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The problem of a vortex pair motion under a free surface is considered. It is known (Barker S.J. & Crow S.?., 1977) that the vortices fly apart with respect to each other in the horizontal direction. The domain of computation will be on the half-plane with the symmetry condition on one of the vertical boundaries. Previously was received (Gushchin V.A. & Konshin V.N, 1992), that for the correct mathematical modeling of an unsteady thick layer of homogeneous incompressible liquid flow through an obstacle, it is nece...

In this paper the properties of level surface of potential of gravity arising in the generalized problem of two centers are investigated. Interest in this research is related to the desire to use the opportunity of an analytical approximation of the EarthпїЅs potential through the potential arising when solving the generalized problem of two centers (intermediate EarthпїЅs potential) to modeling the Earth's surface. Further, for a such approximation the level surface of potential of gravity arising in the generali...