Dynamics of Gyropendulum for Small Angles

Abstract

It was shown in (1)‡ that at a given angle of inclination, the gyropendulum may perform steady precession Ω1 or Ω2 and any small disturbance will result in the subsequent motion consisting of precession and nutation, the corresponding nutational frequency being Ω1 or Ω2 respectively. For small angles, Ω1 and Ω2 represent the natural frequencies of the system.