We have carried out a detailed observational study of the light, color, and
velocity variations of two bright, carbon-rich proto-planetary nebulae, IRAS
22223+4327 and 22272+5435. The light curves are based upon our observations
from 1994 to 2011, together with published data by Arkhipova and collaborators.
They each display four significant periods, with primary periods for IRAS
22223+4327 and 22272+5435 being 90 and 132 days, respectively. For each of
them, the ratio of secondary to primary period is 0.95, a value much different
from that found in Cepheids, but which may be characteristic of post-AGB stars.
Fewer significant periods are found in the smaller radial velocity data sets,
but they agree with those of the light curves. The color curves generally mimic
the light curves, with the objects reddest when faintest. A comparison in
seasons when there exist contemporaneous light, color, and velocity curves
reveals that the light and color curves are in phase, while the radial velocity
curves are 0.25 out of phase with the light curves. Thus they differ from what
is seen in Cepheids, in which the radial velocity curve is 0.50 P out of phase
with the light curve. Comparison of the observed periods and amplitudes with
those of post-AGB pulsation models shows poor agreement, especially for the
periods, which are much longer than predicted. These observational data,
particularly the contemporaneous light, color, and velocity curves, provide an
excellent benchmark for new pulsation models of cool stars in the post-AGB,
proto-planetary nebula phase.Comment: 15 Figures plus Erratu