Polarity Checks in Sectors 23 & 78

During the first three LHC synchronization tests on August 10, August 24, and September 7, 2008, linear and higher-order polarity checks were performed with beam 1 in Sector 23 and beam 2 in Sector 78. The main principle of these checks was to launch free betatron oscillations and use the difference trajectory measurements with respect to inverted polarities of circuits under investigation. In the case of zero nominal strength for a circuit, a finite value was introduced. The magnet circuits subjected to these tests were the QT and QTL trim quadrupoles, the MQS skew quadrupoles, the SF and SD arc sextupole circuits, the MCS b3 spool pieces, the OD and OF Landau octupoles, and the MSS skew sextupoles. For some of these circuits sensitivity was enhanced by introducing large momentum offsets. To detect and remove improve spurious contributions from initially off-center orbits, four sets of trajectories were recorded, namely with and without oscillation, and with two magnet strength settings, respectively. We report on the measurements and their results. In particular we demonstrate that low-intensity single-pass measurements are sensitive enough to detect the sign and the amplitude of b3 spool pieces, lattice sextupoles, skew sextuples, and Landau octupoles. The data recorded can also be used for beam-based alignment of the trim quadrupoles.