The Guiding Centre of a Charged Particle in Superposed Heliotron and Biconical Cusp Fields

Abstract

The allowed region for the guiding centre of a charged particle gyrating in superposed Heliotron and biconical cusp fields have been investigated by combining the motion of the guiding centre and the rotation of the particle around it. This is done by finding the stationary values of the guiding centre coordinates expressed ad functions of the particle coordinates. It is found that the guiding centre almost sticks to the leading line of force. Further, from the numerical integration of the non-linear set of equations governing the motion of a single charged particle, it is found that the particle remains in the allowed region. A comparison shows that the two approaches are in qualitative agreement with each other.