Abstract. A complete theoretical substantiation of the process of aspherization of the rotor of an electrostatic gyroscope (ESG) during preliminary processing of its surface under uniform pressure has been developed. The problem of aspherization of the ESG rotor taking into account the fourth harmonic in the form of the rotor surface was solved using the methods of the spatial theory of elasticity. In this case, the equations of the inner surface of the rotor were presented in such a way that when it was aspherized, it became possible to get rid of not only the second, but also the fourth harmonics. Formulas for calculating pressure are given and cases are indicated when such a technological method does not give the required result.

Key words: Electrostatic gyroscope, rotor, angular velocity, rotor aspherization process, angular momentum, force function, “reference” voltage on electrodes, integration over electrode surfaces.