Abstract. This article presents a mathematical justification for modeling internal and external disturbances affecting the sensitive elements of two-stage float gyroscopes, aimed at implementing a novel method for autonomously determining the systematic components of angular velocity drift in a three-axis gyroscopic stabilizer. The approach eliminates the need for additional information sources or modifications to the de-sign of the inertial navigation system. The proposed software and methodological framework for the initial alignment of inertial systems significantly improves operational efficiency by reducing alignment time and increasing the accuracy of gyroscope drift estimation, particularly under conditions where satellite-based radio navigation corrections are unavailable.

Keywords: calibration, initial exhibition, inertial navigation system, ground navigation, Kalman filter

For citation: Dryaglev A.O. Generalized mathematical model for high-speed calibration of two-stage float gyroscopes in ground-based navigation systems. Aerospace Engineering and Technology. 2025. Vol. 3, no. 1, pp. 157–168. DOI 10.52467/2949-401X-2025-3-1-157-168. EDN NGGIGY (In Russian)