О.G. Lapuka - Dr.Sc. (Eng.), Professor, Military Academy of the Republic of Belarus (Minsk). Е-mail: log69@cosmostv.by S.B. Kalitin - Ph.D. (Eng.), Associate Professor, Military Academy of the Republic of Belarus (Minsk). Е-mail: kalitin_s_b@tut.by A.G. Borovoi - Master of Science, Military Academy of the Republic of Belarus (Minsk). Е-mail: barik767@gmail.com

The main source of the problems that arises in solving the problem of determining the coordinates of a multi-position radio systems (MRS) is a nonlinear equations to the coordinates of the object and the measuring points with the measured parameters. These equ-ations in most cases are composed of trigonometric and transcendental functions, for this reason, the known methods for obtaining estimates of coordinates in the MPC are based on the linearization of communication, as well as significant constraints on the geome-try of the measuring system and the choice of initial conditions in calculators. However, these techniques ensure the convergence of the computational process to the true coordinates only in a narrow range of calculators tracking systems functioning and lead to ex-tremely cumbersome multi-step computational procedures, which are often unworkable in real time. However, vector-algebraic approach allows to overcome the problem of computing tasks in the process of positioning. The essence of this approach lies in the formulation of the problem in vector form and the formalization of relations and the object coordinate measuring points with the measured parameters in the form of vector or vector-matrix equations. This method of setting the problem of determining the location allowed us to formulate a number of ways to solve it with different amounts of computation required. Common to all solving methods is solving of the original problem of determining the coordinates of the object in the MPC by finding the roots of a system of linear equations that are used in this procedure is extremely simple computational linear algebra, operating with final data. Simplicity of solutions obtained opens up opportunities for calculating the coordinates in real time and for analyzing the accuracy of the results.

 

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