16-05U

It has been studied a motion of the charged rotator which is (are) a rigidly constrained one charge or few charges. A dynamics of the rotator is derived from the Lorentz-Dirac equation complemented by the d'Alembert-Largange principle. It leads to a non-integrable 2nd-order differential equation with respect to an angular velocity. A dynamics of the rotator is studied. It is shown that the only phase trajectory -- the separatrix -- makes a physical meaning, all other trajectories describe unlimited self-untwisting in a limiting time. It is described a paradox arising when considering the rotator with several charges.