标题： 具有振荡约束的$μ$模型 显示英文标题

标题： Models of $μ$ Her with asteroseismic constraints

摘要： 利用耶鲁恒星演化程序，基于恒星振荡学测量构建了μ Her的模型。 进行了一次$\chi^{2}$最小化以得到最佳的建模参数，这些参数能够在误差范围内重现观测值。 通过将所有非星震约束与星震测量值相结合，我们发现观测约束倾向于质量为 1.00$^{+ 0.01}_{- 0.02}$ $M_{\odot}$ 的模型，年龄 t = 6.433 $\pm$ 0.04 Gyr，混合长度参数 $\alpha$ = 1.75 $\pm$ 0.25，初始氢丰度 $X_{i}$ = 0.605$^{+ 0.01}_{- 0.005}$ 和金属丰度 $Z_{i}$ = 0.0275$^{+ 0.002}_{- 0.001}$。 μ Her正处于后主序演化阶段。 模式$l$= 1 显示了避免交叉的特征，这可以用来检验此类恒星的内部结构。 恒星振荡测量可以作为建模参数的补充约束。 质量在 1.00 至 1.10$M_{\odot}$范围内的模型能够再现观测约束。 现有的 μ Her 观测数据并未排除这些模型。 显示英文摘要

摘要： Using the Yale stellar evolution code, models of mu Her based on asteroseismic measurements are constructed. A $\chi^{2}$ 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$^{+ 0.01}_{- 0.02}$ $M_{\odot}$, an age t = 6.433 $\pm$ 0.04 Gyr, a mixing-length parameter $\alpha$ = 1.75 $\pm$ 0.25, an initial hydrogen abundance $X_{i}$ = 0.605$^{+ 0.01}_{- 0.005}$ and metal abundance $Z_{i}$ = 0.0275$^{+ 0.002}_{- 0.001}$. mu 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 $M_{\odot}$ can reproduce the observational constraints. Existing observed data of mu Her do not rule out these models.