Mechanical alignment based on beam diagnostics

This article studies the consequences of misalignment of the different components on the displacement of the beam. 3 types of motion have been investigated: quadrupole vertical displacement, quadrupole tilt and sextupole vertical displacement. For each shift a response matrix has been designed and from this formulation, aligning quadrupoles means inverting this matrix. The strategy for correction depends on the accuracy of the response matrix and on the quality of the beam position measurements. A modelling of the corrections is proposed. (A.C.)