arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.02502astro-ph.SR
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测量恒星倾角的自动化方法:通过红巨星分支上的大规模测量进行验证

Automated approach to measure stellar inclinations: validation through large-scale measurements on the red giant branch

C. Gehan, B. Mosser, E. Michel, M. S. Cunha

摘要:

测量恒星倾角是了解行星形成和动力学以及恒星形成过程中的物理条件的基础。红巨星的振荡光谱表现出混合模式,既有来自辐射内部的重力分量,又有来自对流包络的压力分量。重力主导的(g-m)混合模式分裂旋转内的频谱分离,使精确测量恒星倾角。这项工作的目的是开发一种自动化和通用的方法来测量恒星倾角,可以应用于任何太阳类型的振荡模式被确定,并在验证它使用开普勒观测到的红巨星分支星。我们利用不同方位阶数的偶极混合模的平均高度背景比来测量恒星倾角。使用恒星倾斜角的概率密度函数以无偏的方式恢复倾斜度的潜在统计分布。我们获得了红巨星分支上1139颗恒星的恒星倾角测量值,Gehan等人(2018)已经确定了偶极g-m混合模式的方位角顺序。原始测得的倾角相对于各向同性表现出强烈的偏差,这是天空中随机倾角所预期的。当考虑不确定性时,重建的倾角分布实际上遵循旋转轴的预期各向同性分布。这项工作突出了影响倾斜测量的偏差,并提供了推断其基本统计分布的方法。当恒星被观察到在极点或赤道上时,测量是具有挑战性的,并导致有偏的分布。校正出现在低和高倾角制度的偏见,使我们能够恢复潜在的倾角分布。

英文摘要:

Measuring stellar inclinations is fundamental to understand planetary formation and dynamics as well as physical conditions during star formation. Oscillation spectra of red giant stars exhibit mixed modes that have both a gravity component from the radiative interior and a pressure component from the convective envelope. Gravity-dominated (g-m) mixed modes split by rotation are well separated inside frequency spectra, making possible accurate measurements of stellar inclinations. This work aims at developing an automated and general approach to measure stellar inclinations, that can be applied to any solar-type pulsator for which oscillation modes are identified, and at validating it using red giant branch stars observed by Kepler. We use the mean height-to-background ratio of dipole mixed modes with different azimuthal orders to measure stellar inclinations. The underlying statistical distribution of inclinations is recovered in an unbiased way using a probability density function for the stellar inclination angle. We derive stellar inclination measurements for 1139 stars on the red giant branch, for which Gehan et al. (2018) have identified the azimuthal order of dipole g-m mixed modes. Raw measured inclinations exhibit strong deviation with respect to isotropy which is expected for random inclinations over the sky. When taking uncertainties into account, the reconstructed distribution of inclinations actually follows the expected isotropic distribution of the rotational axis. This work highlights the biases that affect inclination measurements and provides the way to infer their underlying statistical distribution. When the star is seen either pole-on or equator-on, measurements are challenging and result in a biased distribution. Correcting biases that appear at the low- and high inclination regimes allows us to recover the underlying inclination distribution.

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