  At the intersection of galactic dynamics, evolution and global structure,
issues such as the relation between bars and spirals and the persistence of
spiral patterns can be addressed through the characterization of the angular
speeds of the patterns and their possible radial variation. The Radial
Tremaine-Weinberg (TWR) Method, a generalized version of the Tremaine-Weinberg
method for observationally determining a single, constant pattern speed, allows
the pattern speed to vary arbitrarily with radius. Here, we perform tests of
the TWR method with regularization on several simulated galaxy data sets. The
regularization is employed as a means of smoothing intrinsically noisy
solutions, as well as for testing model solutions of different radial
dependence (e.g. constant, linear or quadratic). We test these facilities in
studies of individual simulations, and demonstrate successful measurement of
both bar and spiral pattern speeds in a single disk, secondary bar pattern
speeds, and spiral winding (in the first application of a TW calculation to a
spiral simulation). We also explore the major sources of error in the
calculation and find uncertainty in the major axis position angle most
dominant. In all cases, the method is able to extract pattern speed solutions
where discernible patterns exist to within 20% of the known values, suggesting
that the TWR method should be a valuable tool in the area of galactic dynamics.
For utility, we also discuss the caveats in, and compile a prescription for,
applications to real galaxies.
