Success in one-turn maps for dynamic aperture studies---a brief review

Progress in the use of one-turn maps for long-term tracking of particles---useful in dynamic aperture studies on large circular accelerators---is reviewed briefly. It is recommended that long-term tracking of particles for large circular accelerators such as the Superconducting Super Collider (SSC) or its high-energy booster be performed with one-turn maps. The advantages are twofold: not only is tracking speed dramatically enhanced (by about two orders of magnitude for the SSC), but one-turn-map tracking also offers an easier reliability check of the tracking results and easier order-by-order analysis