论文标题

试图自动鉴定亚巨星的混合偶极模式

On attempting to automate the identification of mixed dipole modes for subgiant stars

论文作者

Appourchaux, T.

论文摘要

恒星中混合模式的存在是恒星进化的标志。它们的检测可更好地确定恒星年龄。本文的目的是在没有人类干预的情况下自动识别偶极模式。我使用开普勒任务获得的功率光谱来应用该方法。 I计算渐近偶极模式频率是耦合因子和偶极期间距以及其他参数的函数。对于每个恒星,我将功率折叠在梯形图表中,该梯形图与单极和偶极子混合模式对齐。零频率的功率用作优点。然后,使用遗传算法,我通过调整偶极频率在功率谱中的位置来优化功绩图。使用已发布的频率,我将渐近偶极模式频率与已发布的频率进行比较。我还使用了已发表的频率来推导使用非线性最小二乘拟合的偶极子间距。我使用非线性最小平方拟合的蒙特 - 卡洛模拟来为每个参数得出误差线。从研究的44个子级别中,自动识别允许在3 $ $ Hz内取回32颗恒星的80 \%模式,在6 $μ$ Hz以内,至少在37颗恒星的模式下至少90%。优化且拟合的重力模式周期间距和耦合因子与先前的测量值一致。从蒙特 - 卡洛模拟得出的混合模式参数的随机误差大约比以前确定的误差小30-50倍,实际上是系统误差。确认了亚构架中混合模式的周期间距和耦合因子。使用更准确的渐近模型和/或适当的统计检验,需要改进当前的自动化过程。

The existence of mixed modes in stars is a marker of stellar evolution. Their detection serves for a better determination of stellar age. The goal of this paper is to identify the dipole modes in an automatic manner without human intervention. I use the power spectra obtained by the Kepler mission for the application of the method. I compute asymptotic dipole mode frequencies as a function of coupling factor and dipole period spacing, and other parameters. For each star, I collapse the power in an echelle diagramme aligned onto the monopole and dipole mixed modes. The power at the null frequency is used as a figure of merit. Using a genetic algorithm, I then optimise the figure of merit by adjusting the location of the dipole frequencies in the power spectrum}. Using published frequencies, I compare the asymptotic dipole mode frequencies with published frequencies. I also used published frequencies for deriving coupling factor and dipole period spacing using a non-linear least squares fit. I use Monte-Carlo simulations of the non-linear least square fit for deriving error bars for each parameters. From the 44 subgiants studied, the automatic identification allows to retrieve within 3 $μ$Hz at least 80\% of the modes for 32 stars, and within 6 $μ$Hz at least 90% of the modes for 37 stars. The optimised and fitted gravity-mode period spacing and coupling factor agree with previous measurements. Random errors for the mixed-mode parameters deduced from Monte-Carlo simulation are about 30-50 times smaller than previously determined errors, which are in fact systematic errors. The period spacing and coupling factors of mixed modes in subgiants are confirmed. The current automated procedure will need to be improved using a more accurate asymptotic model and/or proper statistical tests.

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