Efficiency of the asymptotic approach to the problem of determination of the components of the vector of absolute angular velocity of an object by the data from a twofold unit of three gyroscopes was experimentally confirmed. Cinematic diagram of the gyroscopic block, algebraic algorithms, methods and results of the experiments were provided. At the first stage six measurement channels were calibrated, at the second stage the measurement accuracy of the constant components of the angular velocities within the range of 1...7 deg/s was evaluated. At the third stage the effectiveness of the error compensation block in the dynamic mode was investigated experimentally. The components of the angular velocity presented realization of the stationary random processes with a constant of 1...6 deg/s, random components with amplitudes up to 0,8 deg/s and frequency of 15 Hz. Therefore, methods of correlation analysis of the random processes were applied for the analysis of the experimental data. Application of the algorithms based on simplified equations of the inverse task for a block of three gyro angular velocity meters, allows us to significantly reduce the dc component and instantaneous values of the errors in estimation of the parameters of an object's motion.