Betatron transients caused by rapid changes in the closed orbit

During a normal cycle of operation of CESR, there are three occasions when the closed orbit is deliberately changed: Electrostatic separators create the appropriate pretzel for injection, pre-collision and luminosity conditions. At the same time the separator voltages are varied, corrector magnets create orbit distortions that help reduce radiation sources. In addition to the deliberate changes there are occasional undesired closed orbit alterations due to separator high voltage sparking or magnet power supply anomalies. The analysis in this paper shows that a rapid change of the closed orbit, whether intentional or not, generates betatron motion. The amplitude of the betatron motion is such that at least twice the aperture is required to make a rapid change than a slow one