Distribution of the maximum orbit distortion for randomly distributed misalignments

Analytic expressions have been developed for the rms value of the distribution of the maximum orbit distortion and for the extreme tail of the distributions, taking into account the possibility of several contributing harmonics of the misalignments. These results are compared with Monte-Carlo computations over a wide range of transverse oscillation frequencies and it is found that the two are in excellent agreement if one includes between three and four harmonics in the analytic results (author)