Stabilized rotator and foundations of its theory

The key circumstance for the possibility of generalizing cyclotron motion to mechanics is that the Lagrangian of an electron moving across a constant magnetic field is twice its kinetic energy. The aim of this work is to find a mechanical analog of the cyclotron motion and to determine the scheme of the corresponding device referred to as a stabilized rotator. At zero torque in the stationary mode, the rotational speed of the stabilized rotator cannot be arbitrary and takes on a single value. The features of the stabilized rotator are the identity of the formula for the frequency of rotation to the formula for the frequency of a spring pendulum, the equality of kinetic and potential energies, and the resulting equality of the radius of rotation of the load to the magnitude of the spring deformation. Just as the frequency does not coincide with the natural frequency during forced oscillations of the pendulum, the rotation frequency of the stabilized rotator under loading does not coincide with the natural rotation frequency. The stabilized rotator can be used to control the natural frequency of the radial oscillator, although in this capacity it may have a strong competition from mechatronic systems. On the contrary, as a rotation stabilizer, its competitive capabilities are undeniable and determined by the extreme simplicity of the design.