The principle of operation of all resonator micro-optical gyroscope prototypes developed to date involves frequency scanning of the ring resonator. In previous works on this topic, we proposed and considered an optical resonator gyroscope scheme that does not require frequency scanning of the ring resonator. There two counterpropagating waves pass along the same optical path. It reduces the parasitic nonreciprocity, which leads to additional errors in measuring the angular velocity in most of the known schemes. In addition, this scheme allows further reduction of gyro prototypes dimensions. In this work, we simulate a resonator gyroscope made according to the described scheme. In this case, we simulate both the optical path of the proposed resonator gyroscope and the system for generating the output signal. Using the model, we evaluate its characteristics, including limiting sensitivity, operating range, etc.