A High Precision Model of AGS Booster Tune Control

In this note we will describe the Booster tune quadrupoles, magnetic measurements, bare tune measurements, and a 3 dimensional model we developed in order to understand various aspects of the tune quadrupole magnets that were not or could not be measured directly. We will present data on tune shifts caused by ˙ B effects (e.g., vacuum chamber eddy currents) and results of a 3 dimensional model of eddy currents. Finally we will present results from a MAD model of the Booster tunes and the predicted tune control ranges at the highest Booster rigidities.