Optimization of orbital trajectory for frequency modulated gyroscope

We present the detailed analysis of the orbital trajectory of Frequency Modulated (FM) gyroscopes, and the impact of this on the differential frequency output. The FM approach is based on tracking the resonant frequency split between two, high Q-factor mechanical modes of a Rate Integrating Gyroscope, for the purpose of producing a frequency-based measurement of the input angular rate. We show that the output of FM gyroscopes have a strong dependency on the orbital trajectory. For some orbital trajectories, FM gyroscopes provide inherent self-calibration against common-mode influences, such as temperature and stress, while for other trajectories the gyroscope loses these advantages.