The gyroscopic force acting on a ferromagnetic soliton reflects the tendency of spins to precess. Its components increase linearly with (generalized) velocities soliton. proportionality coefficients form tensor, generalization Thiele's gyrovector. Originally introduced as an auxiliary quantity, tensor turns out be mathematical object fundamental importance long history going back Lagrange. We r...

The stability of the Levitron cannot be explained if the top’s axis has a fixed direction in space. Stability against flipping is not enough. Gyroscopic precession around the local magnetic field direction is necessary. An analysis and numerical integration of the equations of motion for an experimental stemless top that includes gyroscopic precession around the local magnetic field lines predi...

The gyroscopic motion of a trapped Bose gas containing a vortex is studied. We model the system as a classical top, as a superposition of coherent hydrodynamic states, by solution of the Bogoliubov equations, and by integration of the time-dependent Gross-Pitaevskii equation. The frequency spectrum of Bogoliubov excitations, including quantum frequency shifts, is calculated and the quantal prec...

The present contribution is motivated by recent studies on the assessment of the fluency of body movements during complex motor tasks. In particular, we focus on the estimation of the Cartesian kinematic jerk (namely, the derivative of the acceleration) of the hips’ orientation during a full threedimensional movement. The kinematic jerk index is estimated on the basis of gyroscopic signals acqu...