A Graphical Method for Determining Particle Trajectories

Abstract
A graphical ray tracing scheme is described which gives improved accuracy for tracing particle orbits of the type encountered in the cyclotron, betatron, and synchrotron. The method allows a large increase in scale factor by elimination of the necessity of a compass arm. The motion of the particle is deduced from the motion of a working point, related to the instantaneous center of curvature of the particle orbit.