This article deals with the problem of creating unitary global space orthogonal geocentric coordinatesystem throughout Russia on the base of a geoid. This problem arose on Resolution of The Russian Federation Government. The point is that geodesic coordinates B, L and H are acceptable for moving and navigation of transport, but orthogonal coordinates X and Y are in the equatorial plane and have nothing to do with designing and construction. Adaptive systems unite global orthogonal coordinates. That is why the authors set the goal of using polyhedral projections. All maps compiled and used in Russian cartographic Gauss&Crueger projection could be attributed to that. For many border squares errors will be very little. A\The authors used very little borders 20 by 20 km and the known topo-centric methods. As a result they create an adaptive system of unitary global orthogonal coordinates.