FINITE-STEP METHOD FOR DETERMINING EQUILIBRIUM STATE OF GYROTHEODOLITE

Abstract

The problem of orientation of a solid by using a torsion suspended gyrotheodolite is considered. Such gyrotheodolites are widely used in modern technology. During their operation, the problem arises of identifying the equilibrium position. It can be solved in many ways. A method is proposed for identifying the equilibrium position of a gyrotheodolite, which has several advantages over other well-known classical methods (least squares method, Kalman filter, and others). A mathematical description of the gyrotheodolite rotor motion is provided, a mathematical model of the method is given, and further development of the research is indicated.