Automatic steering corrections to minimize injection oscillations in the Fermilab antiproton source rings

Missteering of a particle beam at injection into a circular accelerator produces coherent betatron oscillations. The beam position monitor system in the Antiproton Source at Fermilab can measure the beam position on each turn around the ring during these oscillations. From the amplitude and phase of the oscillations, corrections to the beamline steering are calculated to remove the oscillations. The analysis addresses the case in which horizontal and vertical tunes are strongly coupled. This technique is valuable to the operation of the Fermilab Collider and also as an analytical tool