Determination Of Physical Dimensions Of Mu Cas : From Abundance Analysis To Radiation-hydrodynamics

Statistics – Computation

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Physical properties of μ Cas astrometric binary have been studied through spectroscopic observation, abundance analysis, evolutionary computation, asteroseismology and 3-D Radiation-Hydrodynamics (RHD). In spite of the well-defined parallax and astrometric orbit from HIPPARCOS, there has been a chronic mass ratio problem between components. Most of all, accurate evolutionary solution of μ Cas system are still uncertain. Recently, the optical interferometric observation of the CHARA array has detected the radius of the primary star. At first, in order to define physical dimensions accurately, chemical composition has been investigated with the high resolution spectroscopy of BOES. From our elemental analysis, we find that μ Cas is composed of α-enhanced chemical mix with respect to the scaled solar abundance. Considering our newly determined relative abundance, physical parameters for μ Cas were calibrated in the context of stellar evolutionary theory. Through a statistical minimization among theoretical model grids, a reliable main-sequence solution (0.8 M&sun;, 0.2 M&sun;) with its age ∼ 10 Gyr was determined. In addition, the p-mode oscillation spectrum of the best fit is estimated. With a well-constrained stellar parameters of the primary star, the 3-D Large Eddy Simulation (LES) including radiative transfer has been computed. Computational domain extends 32 × 2Mm which covers several granules and 10 ∼ 14 pressure scale heights with the resolution of 1022 × 200 grids. The ultimate goal of this study is to describe detailed physical processes through a complete modelling for stars.

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