Tune Optimization for Maximum Dynamic Acceptance 2: Qx = 65, Qy = 58

By minimizing the "figure of merit" FOM (defined in part I to be the fractional reduction in dynamic acceptance) in the presence of nonlinear elements in the LHC, optimal lattice parameters can be determined. Emphasis here is placed on determining the optimal integer tunes in the ranges 59 #log# DistList LAforwarding PSforwarding RNCAN3 batch done files files.tar helpND.html images images.tar insert_new.sh insert_new.sh~ log modifying pending running waiting Qx #log# DistList LAforwarding PSforwarding RNCAN3 batch done files files.tar helpND.html images images.tar insert_new.sh insert_new.sh~ log modifying pending running waiting 66, 56 #log# DistList LAforwarding PSforwarding RNCAN3 batch done files files.tar helpND.html images images.tar insert_new.sh insert_new.sh~ log modifying pending running waiting Qy #log# DistList LAforwarding PSforwarding RNCAN3 batch done files files.tar helpND.html images images.tar insert_new.sh insert_new.sh~ log modifying pending running waiting 63 in the presence of systematic errors, constant or time-dependent. The fractional tunes (always taken to be 0.28 and 0.31) have been intentionally chosen to avoid low order resonances. Other than chromaticity sextupoles (that keep the chromaticities near zero) the only nonlinear field errors treated are systematic sextupole, octupole, and decapole, all both erect and skew, and only in the main bending elements. Unlike the fractional tunes, for which random sextupole effects are dominant (see part I 1 ) systematic octupoles, either erect or skew, in conjunction with the chromaticity sextupoles, drive the choice of integer tunes. Making assumptions that appear to be reasonable concerning field errors to be expected, the optimal tunes have been found to be Qx = 65; Qy = 58. Since the optimum is partly based on compensation over single arcs the same choice should also be good for systematic-per-arc errors.