so a gyroscope as far as i understand, has this huge angular momentum (because of high angular speed), and thus it acts kinda like it was a huge mass, even thought its not heavy. ( of course i am talking about the “original” gyroscope, not electronic one ).
so lets say we wanted to stabilize something, the gyroscope would provide impedance to deflection, yet ( as far as i uderstand ) under constant force it would gradually deflect. but lets say we want a system that can resist deflection for indefinite amount of time.
i am saying, that all you have to do, is connect this gyroscope to an actuator, that as you apply the torque to this system - the actuator will turn the axis of gyroscope in the opposite direction. thus internally the gyroscope will still be slowly succumbing to the force, but externally the system will remain perfectly motionless.
now is more like a math point. to keep resisting a constant force will the speed of rotation of the gyro’s axis ( not gyro itself, just its axis ) have to be increasing linearly or just stay at constant speed ? i think it will just have to stay at constant speed, and this means we will not run into any kind of problems with infinite speeds or anything like that, even if we let time run to infinity.
did i at least get my point across ?