  This paper investigates the detailed dynamical properties of a relatively
homogeneous sample of disc-dominated S0 galaxies, with a view to understanding
their formation, evolution and structure. By using high signal-to-noise ratio
long-slit spectra of edge-on systems, we have been able to reconstruct the
complete line-of-sight velocity distributions of stars along the galaxies'
major axes. From these data, we have derived both model distribution functions
(the phase density of their stars) and the approximate form of their
gravitational potentials. The derived distribution functions are all consistent
with these galaxies being simple disc systems, with no evidence for a complex
formation history. Essentially no correlation is found between the
characteristic mass scale-lengths and the photometric scale-lengths in these
galaxies, suggesting that they are dark-matter dominated even in their inner
parts. Similarly, no correlation is found between the mass scale-lengths and
asymptotic rotation speed, implying a wide range of dark matter halo
properties. By comparing their asymptotic rotation speeds with their absolute
magnitudes, we find that these S0 galaxies are systematically offset from the
Tully-Fisher relation for later-type galaxies. The offset in luminosity is what
one would expect if star formation had been suddenly switched off a few Gyrs
ago, consistent with a simple picture in which these S0s were created from
ordinary later-type spirals which were stripped of their star-forming ISM when
they encountered a dense cluster environment.
