In this report we attempt the exact solution of the motion of a charged particle in a circular accelerator under the effects of skew quadrpole errors. We adopt the model of error distributions, lumped in locations with zero extension. This thin‐lens approximation provides an analytical insight to the problem to any order. The total solution is expressed in terms of driving terms which are actually correlation factors to several order. An application follows on the calculation and correction of tune‐splitting and on the estimate of the role the higher‐order terms play in the correction method.