Larner and Beasley (1987) introduced cascaded migrations and showed, without proving it rigorously, that iterating a 15-degree migration with proper choice of migration velocity was equivalent to a 90-degree migration. In this paper, I will give a proof based on a power series expansion that makes it possible to compare this method with other migration methods. This analysis shows, for example, that cascaded 45-degree migrations yield higher accuracy than cascaded 15-degree migrations with fewer iterations.

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