Abstract. One of the key issues in the process of shaping the spherical rotor of a ball gyroscope, namely, the process of removing material from the surface of the rotor during abrasive finishing, is discussed. A model describing the process of removing material from the surface of the rotor in the process of finishing is proposed. The model is based on energy-based wear theory by Fleischer, as well as elements of the theory of the introduction of a system of punches into an elastic half-space by I. G. Goryacheva. The hypotheses used in the mathematical model of material removal are confirmed experimentally, as evidenced by the discrepancy between the results of modeling and experiment at the level of measurement error. Results of simulation using the model can be used in the construction of control algorithms for precision spherical finishing machines. Practical recommendations on method of lappers preparing are formulated.

Keywords: spherical rotor, ball rotor, finishing, spherical finishing, ball gyroscope, electrostatic gyroscope, modeling

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