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Two techniques to perform Beam-Based Alignment are presented. These techniques are intended for the difficult case arising in circular accelerators characterized by a nonlinear dependence of the Response Matrix on misalignments of the magnetic sources, where the standard approach fails. The developed algorithms have been successfully used to reconstruct misalignments in the transverse position of the quadrupoles installed in the main rings of the DAΦNE collider.
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Guatieri et al. (2014) studied this question.
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