This work consists of two parts. The first part is a historical overview of the creation of two generations of marine and land gyrocompasses with direct and indirect control. During the review of pendulum or direct control gyrocompasses, using primary sources and authoritative secondary sources, the main practical and analytical developments that led to the creation of the first industrially applicable marine gyrocompass are highlighted. The review of non pendulum or indirect control gyrocompasses is largely an original study of the origins of their creation that is provided through an analysis of available patents taking into account the lack of other available early sources. There are distinguished the developments according to the patent of Narciss Ach (1906, Germany) where the scheme of the gyrocompass with indirect control probably appeared for the first time, the developments according to the patent of Preston R. Basset (1923, USA), where the scheme of proper tuning of indirect control gyrocompass appeared for the first time, and other developments as well. There are also considered the developments of a gyrocompass with electromagnetic correction by Pavel Koptyaev (1932, 1951-1954, USSR) and the main industrial developments of corrected gyrocompasses in the territory of the former USSR. The review also briefly indicates the main operational properties of marine and land gyrocompasses, including a new generation of gyrocompasses based on fiber-optic gyroscopes (FOG) and hemispherical resonator gyroscopes (HRG), attitude heading reference system (AHRS). The second part of this work reasonably follows from the first part, in which the gyrocompass with indirect control for land mobile vehicles based on a dynamically tuned gyroscope (DTG) on a platform stabilized in the horizon plane is studied. A general model of errors of such gyrocompass is determined, when the main axis of the gyroscope is brought into the plane of the true (geographical) meridian in the direction to the North and in the direction to the South. A hardware compensation scheme for the systematic errors of the gyrocompass is provided. A problem of determining and compensating for the gyroscope own drift relative to the horizontal axis of the suspension is solved through indirect measurements. The estimation of parameters of the indirect control gyrocompass is provided as a device of a navigation accuracy class
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