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Drift motion of free-rotor gyroscope with radial mass-unbalance. (English) Zbl 1075.70006
Summary: We discuss the motion of a rigid body about fixed point with small radial mass-unbalance in homogeneous gravitational field. The dynamical equations described by state variables of the body were established, and approximate analytical solutions for a spinning body with high speed were obtained by use of average method. The influence of the radial mass-unbalance of the rotor on the precession character of a free-rotor gyroscope was analyzed. A physical explanation of the drift phenomenon of the gyro was given, and an applicable formula for gyro’s constant drift was obtained in analytical form, which is coincident with the numerical calculation.
70E05 Motion of the gyroscope
70E17 Motion of a rigid body with a fixed point
Full Text: DOI
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