Muon Storage Rings Design with Simple Mathematica Packages

This report describes the use of Mathematica in automating a step in the early design of a muon storage ring for a neutrino factory, leading from the concept to the input data for a matching program. The design procedure is embedded in a Mathematica notebook and Mathematica packages. These packages were developed for a variety of parameter searches. A 30 GeV muon storage ring, with a physical aperture accepting a muon beam with a normalized emittance exn = 15 mm and a relative RMS momentum spread se=0.003 at three standard deviations is used as a specific example.