Choice of natural coordinates in some physical problems: 1. the problems with definite choice of coordinate systems

摘要

Abstract: Natural coordinates method for solution of some dynamic problems is proposed. Advantages of the method are illustrated by examples of the following well-known problems connected with (1) the motion of two non interacting particles in absence of external forces; (2) the motion of a charged particle in the magnetic field of a monopole; (3) the motion of a particle in Coulomb or gravitational fields. Analytical solutions of the problems have been determined. Classification of motions and according graphic illustrations have been done. !2