CONDITIONS FOR BALANCING A ROTATING BODY IN AN ISOLATED SYSTEM WITH AUTOMATIC BALANCERS

摘要

Conditions are established for automatic balancers with rigid bodies to balance a rotating body that undergoes spatial motion and is a component of an isolated system. It is discovered that a rotating oblate body can be statically balanced when the balance plane is rather close to the center of mass of the system. It is also established that if the rotating body is prolate, the nutation angle can be initially decreased by balancing the body; however, it will then increase because of the dissipation of energy in the system