The study of third-order astigmatism and curvature of field associated with deflecting coils, described in a companion paper, has been extended to cover more general conditions, including multiple beams and the problem of reconvergence. The analysis has been applied in particular to the performance of the RCA colour yoke and the shadowmask tube and has resulted in a simple yet efficient method of reconvergence which is superior to existing methods in that a single control achieves comparable results, the time taken being drastically reduced.