On a method of determination of trajectory families of a charge particles moving in two-dimensional electrostatic fields

Method for determining basic trajectory families of a charge particle moving in two-dimensional electrostatic fields has been developed. Field classes possessing trajectories in the form of lines of a constant level of some harmonic functions have been found; at that trajectories and corresponding fields are witten down in an explicit or parametric analytic form. Examples of two-dimensional fields with circular and hyperbolic trajectories illustrating the theory developed are given