开普勒观测到的恒星振荡模的振动和辐射热修正
Visibilities and bolometric corrections for stellar oscillation modes observed by Kepler
摘要：
开普勒产生了大量的数据用于星震学分析，特别是类太阳恒星和红巨星。在开普勒光谱带中观察到的模式振幅必须转换成测辐射热振幅，以与模型进行比较。我们给出了一个简单的辐射热修正的径向模式的振幅与开普勒，以及非径向模式的相对活力。我们使用与文献（Michel等人，2009，A&A 495，979）中最近的一种方法类似的方法，数值计算了4000-7500 K范围内不同有效温度Teff的测热校正c_{K-bol}和模式振动。我们推导出一个热辐射值修正定律：c_{K-bol} = 1 + a_1（Teff-To）+ a_2（Teff-To）^2，其中To = 5934 K，a_1 = 1.349 e-4 K^{-1}，a_2 =-3.120 e-9 K^{-2}，或者，作为替代，作为幂律c_{K-bol} =（Teff/To）^alpha，其中alpha = 0.80。我们给出了基于临边暗化（LD）的模式vibration的列表值，该值是从ATLAS 9模型大气中计算的，Teff在[4000，7500] K中，log g在[2.5，4.5]中，[M/H]在[-1.0，+1.0]中。我们表明，使用LD配置文件已经集成在光谱带提供了快速和良好的近似vibrations。我们指出这些经典的能见度估计的局限性。
英文摘要：
Kepler produces a large amount of data used for asteroseismological analyses, particularly of solar-like stars and red giants. The mode amplitudes observed in the Kepler spectral band have to be converted into bolometric amplitudes to be compared to models. We give a simple bolometric correction for the amplitudes of radial modes observed with Kepler, as well as the relative visibilities of non-radial modes. We numerically compute the bolometric correction c_{K-bol} and mode visibilities for different effective temperatures Teff within the range 4000-7500 K, using a similar approach to a recent one from the literature (Michel et al. 2009, A&A 495, 979). We derive a law for the correction to bolometric values: c_{K-bol} = 1 + a_1 (Teff-To) + a_2 (Teff-To)^2, with To = 5934 K, a_1 = 1.349e-4 K^{-1}, and a_2 = -3.120e-9 K^{-2} or, alternatively, as the power law c_{K-bol} = (Teff/To)^alpha with alpha = 0.80. We give tabulated values for the mode visibilities based on limb-darkening (LD), computed from ATLAS9 model atmospheres for Teff in [4000,7500] K, log g in [2.5,4.5], and [M/H] in [-1.0,+1.0]. We show that using LD profiles already integrated over the spectral band provides quick and good approximations for visibilities. We point out the limits of these classical visibility estimations.
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