We present 29-197 mu m spectra of the oxygen-rich Mira variable star, R Cas
, obtained with the Long- and Short-Wavelength Spectrometers (LWS and SWS)
on board the Infrared Space Observatory (ISO). The LWS grating observations
were made during two pulsational stellar phases, phi similar to 0.5 and 0.
2 in August 1996 and June 1997 when the stellar luminosity was near its min
imum and mean values, respectively. The infrared flux at the latter epoch w
as similar to 30-40% stronger than at the former. SWS grating observations
were also made in June 1997. The spectrum presents a strong far-infrared (F
IR) continuum and is rich in water lines suitable for use as circumstellar
diagnostics.
We have constructed a circumstellar model which consistently treats radiati
ve transfer, chemical exchanges, photodissociation, and heating and cooling
effects. The overall FIR excitation field was scaled by a factor which var
ied with the stellar phase. By fitting the model to the observed FIR water
line fluxes and continuum while adopting the stellar parameters based on th
e Hipparcos distance we have found a mass-loss rate of (M)over dot similar
to 3.4 x 10(-7) M. yr(-1) and a total ortho and para water vapour abundance
(relative to H-2) Of f similar to 1.1 x 10(-5). The kinetic temperature an
d the relative abundances of H2O, OH, and O in chemical equilibrium have be
en derived as functions of radial distance r. H2O excitation is mainly domi
nated by FIR emitted by dust grains. The deduced model continuum flux at 29
-197 mu m for the phi similar to 0.5 phase was 61% of the flux at phi simil
ar to 0.2. Photodissociation by the FUV interstellar field and CO cooling e
ffects operate farther out than the H2O excitation region. Our derived mass
-loss rate of R Cas is similar to the value 6 x 10-7 M. yr(-1) previously p
ublished for WHya, another oxygen-rich AGE star.