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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...