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arXiv 1202.4468astro-ph.SR
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模拟食双星中的完全对流星:KOI-126和CM天龙座

Modelling fully convective stars in eclipsing binaries: KOI-126 and CM Draconis

Federico Spada, Pierre Demarque

摘要:

我们提出的模型的组成部分的系统KOI-126和CM天龙座,两个食双星系统已知的日期包含恒星的质量低到足以有充分的对流内部。我们能够令人满意地模拟KOI-126系统,找到所有三个组件的半径和表面温度的一致解决方案,使用对流区中混合长度参数α的类似太阳的值,以及PHOENIX NextGen 1D模型大气的表面边界条件。根据化学成分,我们估计该系统的年龄在3-5 Gyr之间。另一方面,对于CM Draconis,我们无法使用基于运动学的当前贫金属成分估计来使我们的模型与观测到的半径和T_eff相一致。较高的金属丰度会减少但不会消除这种差异。然后,我们探讨了改变混合长度参数α的影响。如文献中先前所述,减小的α可用作由于旋转和感应磁场而导致的较低对流效率的简单量度。我们的模型对α的敏感性(α< 1.0)足以部分解释半径差异。然而,仅仅根据降低的α的影响,不可能使模型与观测结果相一致。因此,我们认为高金属丰度和α还原的综合效应可以解释天龙CM的观测结果。例如,将系统的金属丰度增加到超太阳值(即Z = 2 Z_sun),在α= 1.0的情况下会产生2 σ内的一致性。

英文摘要:

We present models of the components of the systems KOI-126 and CM Draconis, the two eclipsing binary systems known to date to contain stars with masses low enough to have fully convective interiors. We are able to model satisfactorily the system KOI-126, finding consistent solutions for the radii and surface temperatures of all three components, using a solar-like value of the mixing-length parameter αin the convection zone, and PHOENIX NextGen 1D model atmospheres for the surface boundary conditions. Depending on the chemical composition, we estimate the age of the system to be in the range 3-5 Gyr. For CM Draconis, on the other hand, we cannot reconcile our models with the observed radii and T_eff using the current metal-poor composition estimate based on kinematics. Higher metallicities lessen but do not remove the discrepancy. We then explore the effect of varying the mixing length parameter α. As previously noted in the literature, a reduced αcan be used as a simple measure of the lower convective efficiency due to rotation and induced magnetic fields. Our models show a sensitivity to α(for α< 1.0) sufficient to partially account for the radius discrepancies. It is, however, impossible to reconcile the models with the observations on the basis of the effect of the reduced αalone. We therefore suggest that the combined effects of high metallicity and αreduction could explain the observations of CM Draconis. For example, increasing the metallicity of the system towards super-solar values (i.e. Z = 2 Z_sun) yields an agreement within 2 σwith α= 1.0.

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