Matching Of Siberian Snakes

It is shown how one can choose suitable combinations of Siberian Snakes and betatron phase advances to optimize the ability of a ring to accelerate a polarized beam with little reduction of polarization. In an analysis of HERA-p, these methods have lead to a 14-fold increase of the vertical beam emittance for which polarization could be preserved. This is not only impressive as a result, but also the methods which lead to this result are very interesting. They contain detailed spin-orbit tracking and the application of the Froissart-Stora Formula for higher order spin-orbit resonances, for which an algorithm of determining resonance strength has been found.