A problem of optimal damping of the angular velocity of a rigid body is considered. Model damping implies that three damping devices installed along three axes («damping axes» which are fixed in the body) produce control torques proportional to angular velocity projections on corresponding axes. This paper aims to determine the system parameters resulting in the maximum damping rate. Optimization is performed with respect to the damping coefficients and the attitude of damping axes. It is demonstrated that optimum is achieved when damping axes are parallel to the principal inertia axes of the body. In addition, several extremal properties of the inertia tensor of a rigid body are obtained.
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