  We compute rates of period change (Pdots) for the 215s mode in G117-B15A and
the 213s mode in R548, first for models without axions, and then for models
with axions of increasing mass. We use the asteroseismological models for
G117-B15A and R548 we derived in an earlier publication . For G117-B15A, we
consider two families of solutions, one with relatively thick hydrogen layers
and one with thin hydrogen layers. Given the region of parameter space occupied
by our models, we estimate error bars on the calculated Pdots using Monte Carlo
simulations. Together with the observed Pdot for G117-B15A, our analysis yields
strong limits on the DFSZ axion mass. Our thin hydrogen solutions place an
upper limit of 13.5 meV on the axion, while our thick hydrogen solutions
relaxes that limit to 26.5 meV.
