Models of μ Her with asteroseismic constraints

Using the Yale stellar evolution code, models of μ Her based on asteroseismic measurements are constructed. A χ2 minimization is performed to approach the best modeling parameters which reproduce the observations within their errors. By combining all non-asteroseismic constraints with asteroseismic measurements, we find that the observational constraints favour a model with a mass of 1.00-0.02+0.01M⊙, an age t = 6.433 ± 0.04 Gyr, a mixing-length parameter α = 1.75 ± 0.25, an initial hydrogen abundance Xi=0.605-0.005+0.01 and metal abundance Zi=0.0275-0.001+0.002. μ Her is in post-main sequence phase of evolution. The modes of l = 1 show up the characteristics of avoided crossings, which may be applied to test the internal structure of this type stars. Asteroseismic measurements can be used as a complementary constraint on the modeling parameters. The models with mass 1.00–1.10 M⊙ can reproduce the observational constraints. Existing observed data of μ Her do not rule out these models.