Abstract
A representation of the turn-tensor of an axisymmetrical rigid body by using the moment of momentum vector is proposed. It is proved that for certain external moments the motion of an axisymmetrical rigid body differs from the motion of the spherical rigid body only by the additional rotation around its axis of symmetry. Analogy between the problems of the rotation of an axisgmmetrical rigid body under the action of the moment, directed along the axis of symmetry of the body and under the action of the constantly directed moment, is exposed. Exact solution of the problem of free rotation of an axisymmetrical rigid body, taking account of a linear viscous friction, is constructed.
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