Comparison of binning and sorting of magnets in the SSC High Energy Booster

Two schemes for enlarging the usable aperture in superconducting synchrotrons, the binning of dipoles with several independent correction circuits and the sorting of dipoles based on their random sextupole components, are investigated for the SSC High Energy Booster by tracking a particle for two-thousand turns. With the anticipated rms values of b2 and a2 when the coil-winding diameter is 5 cm, the authors have found that the sorting is comparable in overall effectiveness as the binning with six independent circuits which will effectively reduce the rms value by a factor of four