Precessional motions of a gyrostat with variable gyrostatic momentum under the potential and gyroscopic forces

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.