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.