About a reduction of the differential equations in two problems of dynamics of a solid (Q2901682)

The reduction of the differential equations of movement of a gyrostat in two problems of dynamics of a solid in the basis of Kharlamov's methods is executed. A problem about movement of a gyrostat under the influence of potential and gyroscope forces. Potential forces are gravity and a magnetic field, gyroscopic are caused by Lorentz's force. The equations of movement of a gyrostat in the given problem are the equations of a class of Kirhgof. A problem about movement of a heavy gyrostat in a magnetic field taking into account effect of Barnette-London when originally not magnetic superconductors at movement in a magnetic field are magnetized along a rotation axis. The mechanical moment of rotation linearly depends on angular speed.