A discrete gyroscopic system is characterized by 2n first-order ordinary differential equations defined one symmetric and skew-symmetric, which describes the motion of a spinning body containing elastic parts. In this paper, we consider inverse problems such system: Given partial spectral data, find that it desired data. The general solution problem given best approximation to pair matrices pro...

In this paper, we study the well-posedness for a coupled PDE/ODE system describing interaction of several massive point vortices moving within vorticity backgound in 2D ideal incompressible fluid. The points are driven by velocity induced background vorticity, other vortices, and Kutta-Joukowski-type lift force creating an additional gyroscopic effect. This reduces to so-called vortex-wave syst...

By using the most rudimentary microcontroller chips, that receive data from sensors, and transmit to a computer system, thorough virtual serial port, motion of many objects, bodies joints can be captured. Capturing reproducing it live is not only destination for usage. Recording studying data, reduce lot work in wide range domains. Using simplest methods capture also means making so widely acce...

Gyroscopic systems in classical and quantum field theory are characterized by the presence of at least two scalar degrees freedom terms that mix fields their time derivatives quadratic Lagrangian. In Minkowski spacetime, they naturally appear a coupling among with time-dependent vacuum expectation values space-dependent values, breaking spontaneously Lorentz symmetry; this is case for supersoli...

The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precession formulae are obtained for circular orbits with arbitrary constant angular s...