The urgency of detailed considering low-flying artificial and natural space objects and “space debris” caused the technological boom in the sphere of creating high precision mechanisms, sensors, programming and powerful information processing systems. This enabled developing brand-new space tracking systems and modifying the existing ones. The present work is devoted to studying opportunities to modernize a three-axis telescope with the control system of transmission gears. The authors analyzed dependencies of dynamic errors, dynamic loads in drives and steering signals on system critical parameters using various laws of motion for an object under observation. The analysis showed possibility to reduce dynamic errors of a telescope to more than 0,0001radians. The paper presents quantitative values of the drives mutual influence and determines areas of control system stability. The algorithm of forming and solving the equations of motion of a spatial operated multi-phase mechanism can be realized on the personal computer.