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

摘要

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.