Importance of Accurate Static Equilibrium Orbit Calculation in Cyclotron Design

Abstract

Knowledge of the static equilibrium orbit properties is crucial for cyclotron design and development. With the increase of computational speed, numerical orbit calculations are more and more often employed as a part of other methods. Direct numerical integration of the canonical equations of motion is used most often for orbit calculations. We propose an original method for the calculation of static equilibrium orbit properties by direct trajectory tracking in the real, configuration space, and compare it with the method most commonly used.