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Precessional motions of a gyrostat with variable gyrostatic momentum under the potential and gyroscopic forces. (Russian. English summary) Zbl 1486.70020

Summary: The problem of gyrostat motion under the potential and gyroscopic forces is considered for the case of variable gyrostatic momentum. For the class of precessional motions, a reduction of the six Kirchhoff-Poisson equations to the system of three ordinary differential equations is presented. The pendulum motions are investigated as an example.

MSC:

70E05 Motion of the gyroscope
70E17 Motion of a rigid body with a fixed point