  The classical model of spinning particle is analyzed in details in two
versions - with single spinor and two spinors put on the trajectory. Equations
of motion of the first version are easily solvable. The system with two spinors
becomes non-linear. Nevertheless the equations of motion are analyzed in
details and solved numerically. In either case the trajectories are ilustrated
and their properties are disussed. There is also discussion of possible
physical quantities associated with the spinning motions. Among others: the
size of particles and their gyromagnetic ratios. Finally, some possible,
speculative explanations of the properties of the Universe are proposed: the
origin and nature of dark matter and lack of the equilibrium bettween mater and
anti-matter.
