The static friction torque compensation of SPG by single resonance pulse

Aiming to attenuate the fluctuation caused by static friction torque of the SPG, the dissipation energy produced by the slip distance from the static friction to the lubrication is analyzed based on the Hertz Contact Theory. Considering the time amplification effect of the structure resonance, the amplitude and the width of the single pulse are calculated to impulse the first order rotation mode of the SPG. Then, a formula of the compensation pulse is deduced, and At last, the disturbance caused by the slipping energy is well compensated by the vibration energy of SPG. Using this method, the torque fluctuation of passing zero speed degrade and the residual stress from the SPG to the spacecraft is reduced. At the same time, this conclusion provides a theory basis for the optimization of the controlling system.