Lorentz force in vortex electric field

In our time, the functions of the law of interaction of moving charged bodies have been taken over entirely by the relativistic theory under the guise of a pseudo-slogan about the inability of Galileo's transformations. In contrast, the article adapts the Lorentz force to the case of moving charges in the all-possible range of velocities in the usual three-dimensional Euclidean space and time. This takes into account the finite rate of propagation of an electric field and the law of conservation of elect­ric charge. On this basis, the trajectory of the free motion of  electron in a non-uniform electric field generated by a positively charged spherical body is simulated.