  We propose the model of massive spinning particle traveling in
four-dimensional Minkowski space. The equations of motion of the particle
follow from the fact that all the classical paths of the particle lie on a
cylinder whose position in Minkowski space is determined by the particle's
linear momentum and total angular momentum. All the paths on one and the same
cylinder are gauge equivalent. The equations of motion are found in implicit
form for general time-like paths, and they are non-Lagrangian. The explicit
equations of motion are found for trajectories with small curvature and
helices. The momentum and total angular momentum are expressed in terms of
characteristics of the path in all the cases. The constructed model of the
spinning particle has geometrical character, with no additional variables in
the space of spin states being introduced.
