Physics of gyroscope nutation

The known publications of the gyroscope property of maintaining its axis are represented by simplified mathematical models formulated on the law of kinetic energy conservation and the action of an inertial torque expressed by the change in the angular momentum. This is the reason that practice does not validate the correctness of such publications and gyroscopic effects remained for a long time as unsolved problems. The new study demonstrates that the origin of gyroscopic effects is more complex and is manifested by the simultaneous and interdependent action of the several inertial resistance and precession torques produced by the rotating mass of a spinning object. These inertial torques are represented by the action of centrifugal, Coriolis, the common inertial forces and the change in the angular momentum of the rotating mass of a gyroscope. In case of the complex gyroscope motion, the inertial torques can deactivate that represent the new property of the matter. The principles of energy conservation, the action of the system of internal and external torques on gyroscopic devices and their new mathematical models enable for the describing all gyroscopic effects. The main contribution and novelty of this paper is the mathematical modeling and describing the physics of the gyroscope nutation called galloping, which was a mostly unsolved problem in engineering.