Some considerations regarding very high (and very unequal) tune damping rings

A damping ring with very high horizontal tune is analyzed. The dynamic aperture is determined using the tracking program TEAPOT and is found to be marginally satisfactory, depending on the required beam emittance reduction factor. Synchrobetatron resonances due to the centrifugal space charge force are analyzed and found to be not serious at the beam current levels suggested in a damping ring design of Palmer. Much of the paper is devoted to re‐calculating the properties of such a ring with the results largely corroborating Palmer’s, except that an appreciably greater beam emittance is found.