  Rotation of a permanently polarized rigid body under the radiation reaction
torque is considered. Dynamics of the spinning top is derived from a balance
condition of the angular momentum. It leads to the non-integrable nonlinear
2nd-order equations for angular velocities, and then to the reduced 1st-order
Euler equations. The example of an axially symmetric top with the longitudinal
dipole is solved exactly, with the transverse dipole is analyzed qualitatively
and numerically. Physical solutions describe the asymptotic power-law slowdown
to stop or the exponential drift to a residual rotation; this depends on
initial conditions and a shape of the top.
