Abstract. The study of the motion of a solid body in electric and magnetic fields is closely related to many applied problems that arise in the development of new machines and devices in various fields of modern technology. The lack of clean smoothness of the rotor surface can lead to fluctuations in the accuracy of the gyroscope due to the non-spherical electrodes, displacement of the center of mass of the Rotor in the suspension, which occurs during overload and vibrations of the base, as well as in the absence of a zero-electrode filling the interelectrode space of the suspension. The expression of the nutation angle is taken as a function of time and the time constant of the decay process of the nutation oscillations of the Rotor is determined. Taking into account the aspherization of the Rotor, deviations for a specific gyroscope were revealed.

Keywords: electrostatic gyroscope, electrode, rotor aspherization, inertial forces.