A New Solving Procedure for the Kelvin–Kirchhoff Equations in Case of a Falling Rotating Torus

We present in this communication a new solving procedure for Kelvin&Kirchhoff equations, considering the dynamics of falling rigid rotating torus an ideal incompressible fluid, assuming additionally dynamical symmetry rotation body, I_1 = I_2. Fundamental law angular momentum conservation is used aforementioned procedure. The system Euler equations explored regard to existence analytic way presentation approximated solution (where we consider case laminar flow at slow regime rotation). second finding associated with fact that Stokes boundary layer phenomenon on boundaries also been assumed formulation basic (for which analytical expressions components fluid torque vector {T_2, T_3} were obtained earlier). results calculations velocity should then be full equation system. Trajectories motion can divided into, preferably, 3 classes: zigzagging, helical spiral motion, and chaotic oscillations.