Abstract
The misalignment of a magnet in a beam line will cause an alteration of the beam envelope at any later point in that beam line. The position of a misaligned magnet may be described in terms of six coordinates, three translational and three rotational. The effect of a misalignment on a single particle trajectory is derived to first order, including bilinear terms. A bilinear effect is one which affects the beam line focusing characteristics, but not the central ray, such as the effect of rotating a quadrupole about its axis. The effect on the beam envelope is calculated, both for a known magnet displacement and for an uncertain magnet position. The formalism has been included in the computer program TRANSPORT 1).
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