Description: The paper presents a mathematical model of the space-time objects of the complex and the radio emission source. Based parameterization and linear transformation of the coordinate system representation of relationships between objects reduced from three to two hyperbolic equations. In the calculation of the coordinates of the number of iterations and the amount of computation in one iteration of the Newton method is decreased. Ellipsoid is used as a model of the earth. The coordinates of the stations are calculated taking into account additional parameters – height values observing stations above the zero level.
Keywords: passive direction finding radio emission source, the Newton method, hyperboloid, reduction of the matrix dimension