The dynamical characteristics of a North-seeking gyroscope are ivestigated. Five modes of free vibration are predicted. The response to harmonic horizontal disturbances of the point of suspension contains resonances associated with the natural fequencies that are predictable from first-order linear vibration theory. A higher order approximate solution shows that significant second-order effects occur in the form of ultra-harmonic resonances and a steady-state error in indicated North. Experimental confirmation of the theoretical predictions is reported.
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