Abstract
A method is presented for the treatment of errors in alignment between the sectors of a strong focusing accelerator. Motion in one lateral coordinate only is treated, and the individual sectors are assumed to be ideal. It is found that if the ideal orbits (without misalignments) are periodic in one revolution the effect of the misalignments is to produce unbounded orbits; but that away from, such resonances stable orbits exist. Estimates are made of the alignment tolerances required for reasonable amplitudes of the perturbed motion. The essential features of the results are independent of the detailed nature of the guide field so lorg as the ideal orbits are stable
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