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arXiv 1907.01565astro-ph.SR
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星震倾角的贝叶斯分层推断

Bayesian hierarchical inference of asteroseismic inclination angles

James S. Kuszlewicz, William J. Chaplin, Thomas S. H. North, Will M. Farr, Keaton J. Bell, Guy R. Davies, Tiago L. Campante, Saskia Hekker

摘要:

恒星倾角恒星的旋转轴和我们视线之间的角度在许多不同的领域提供了有价值的信息,从外行星和食双星系统的几何特征,到这些系统的形成和演化。我们提出了一种基于星震学和贝叶斯分层方案的方法来提取单个恒星的倾角。因此,这种分层的方法提供了一种手段,既准确和鲁棒性提取倾斜角的红巨星。我们成功地将这种技术应用到一个人工数据集与一个潜在的各向同性倾角分布,以验证该方法。我们还将这种方法应用于$\textit{Kepler}$观测的123颗红巨星。我们还表明,需要一个选择函数来考虑可能的人口水平的偏见,这是不存在于个别明星的情况下,为了扩展层次的方法推断潜在的人口倾斜角分布。

英文摘要:

The stellar inclination angle-the angle between the rotation axis of a star and our line of sight-provides valuable information in many different areas, from the characterisation of the geometry of exoplanetary and eclipsing binary systems, to the formation and evolution of those systems. We propose a method based on asteroseismology and a Bayesian hierarchical scheme for extracting the inclination angle of a single star. This hierarchical method therefore provides a means to both accurately and robustly extract inclination angles from red giant stars. We successfully apply this technique to an artificial dataset with an underlying isotropic inclination angle distribution to verify the method. We also apply this technique to 123 red giant stars observed with $\textit{Kepler}$. We also show the need for a selection function to account for possible population-level biases, that are not present in individual star-by-star cases, in order to extend the hierarchical method towards inferring underlying population inclination angle distributions.

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