INVESTIGATION OF THE GYROSTAT MOTION EQUATIONS IN MAGNETIC FIELD BASED ON POLYNOMIAL SOLUTIONS

The article studies the existence conditions for partial solutions of a special class of polynomial structure of the motion equations of a gyrostat in a magnetic field, taking into account the Barnett-London effect. A new partial solution of the specified class, described by elliptic time functions, has been constructed.

Keywords: polynomial solutions, invariant relations, gyrostat, Barnett-London effect, elliptic functions.