Regular precessions of the heavy gyrostat round of a vertical axis (Q2901717)

Precessions a body-carrier in a problem about movement of a gyrostat with a motionless point in the field of gravity, are investigated in work. It is supposed that a direction variable gyrostatic moment is constant in mobile basis. The condition of existing of precessions are found, descriptions of all possible regular precessions concerning a vertical is spent. It is proved that the center of weights of system is on an axis of own rotation which together with a directing vector of gyrostatic moment is in the main plane. Restrictions on a corner of a deviation of an axis of rotation from a vertical are received at the fixed value of speed of own rotation. Decisions of the equations of precessions movements of a gyrostat in the field of gravity are written out.