Dominique Barthès GRAAL (ESA 5024/CNRS), Universite Montpellier II, F-34095 Montpellier Cedex
05, France
Abstract
Linear pulsation models are generated using the absolute magnitudes
of long period variables (LPVs) in the Large Magellanic Cloud (LMC) and in the
solar neighborhood (HIPPARCOS parallaxes), as well as effective temperature
estimates. The results support the hypothesis that linear modeling may be used,
provided that a lower mixing length (possibly evolving along the asymptotic giant
branch (AGB)) is adopted, as suggested by light curve analysis. Most Miras are
found pulsating in the first overtone, though a significant number may be pulsating
in the fundamental mode. Individual masses are derived. Several stars seem to depart
from the standard core-mass-luminosity relation because of thermal pulsation.