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Some fundamental issues of the Generalized Foucault Pendulum (GFP) theory are shown. The basic physical effect inherent in this gyro family is described and general ways of controlling their phase state are formed. The problems of the operational stability are considered and calibration equations are deduced. The applied aspects of the Generalized Foucault pendulum theory implementation in precision gyro sensors and specified embodiments of modern hemispherical resonator gyros for low-speed and high-speed objects of air-space applications are presented.
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