ON THE THREE INVARIANT RELATIONS OF MOTION’S EQUATIONS OF THE SYMMETRIC GYROSTAT IN A MAGNETIC FIELD

The problem of the gyrostat motion in a magnetic field with the effect of Barnett-London is considered. It is assumed that gyrostatic moment depends on time. Conditions for existence of motion equations of three invariant relations of a special kind are defined. These solutions of the motion equations are characterized by the elliptic functions of time.