Application of differential-and-Lie algebraic techniques to the orbit dynamics of cyclotrons

An orbit-dynamics code, DACYC, is being developed for the TASCC superconducting cyclotron. DACYC makes use of differential algebra and Lie algebra to calculate and analyze partial, one and/or multiturn maps to very high order. Accurate, three-dimensional, analytic models of the magnetic and RF fields, which satisfy Maxwell's equations exactly are used. The maps can be analyzed with normal-form methods or to produce linear or high-order phase-space plots.<
>