Comparison of aperture determinations on RHIC for single particles tracked 106 turns and 100 particles, having randomly generated initial coordinates, tracked for 1000 turns

Aperture determinations from 100 particles tracked for 1000 turns using randomly selected initial coordinates are compared with results from 10⁶ turn runs when initial coordinates are defined by ε_x=ε_y and X´_i=Y´_i=0. Measurements were made with ten distributions of magnetic field errors. The results from tracking 100 particles for 10³ turns are equivalent to those from 10⁶ turn runs, have a distribution of considerably less width, and require only one-tenth the computer time