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arXiv 1601.02892astro-ph.SR
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双星系统恒星非共轨度可靠性的统计检验

A statistical test on the reliability of the non-coevality of stars in binary systems

G. Valle, M. Dell'Omodarme, P. G. Prada Moroni, S. Degl'Innocenti

摘要:

我们开发了一个统计测试的预期差异的年龄估计的两个同时代的明星在分离双线食双星系统,只造成观测的不确定性。我们关注的是质量范围[0.8; 1.6] Msun的恒星和主序星阶段的恒星。通过最大似然SCEPtER技术获得年龄。在恢复过程中使用的观测约束是恒星质量,半径,有效温度和金属丰度[Fe/H]。我们将统计量W定义为两颗恒星估计年龄的绝对差与老恒星年龄的比值。我们确定了临界值以上的coevality统计可以被拒绝。一个双星系统的同时代恒星之间的重建年龄的中位数预期差异--仅由观测的不确定性引起--显示出对进化阶段的强烈依赖。这个范围从演化的主星的20%到近ZAMS主星的75%。中位差也显示出随着主恒星质量的增加,从0.8 Msun恒星的20%增加到1.6 Msun恒星的50%。这些结果的可靠性是通过用不同的进化代码计算的恒星模型网格重复这一过程来检验的。我们表明,W测试是更敏感的年龄差异的二进制系统组件比替代方法比较的置信区间的两颗星的年龄。我们还发现,W的分布,几乎所有的检查情况下,很好地近似β分布。所提出的方法改进了通常用于判断被观测系统的一致性的技术。它还提供了一个基于可靠统计的结果,同时考虑了所有观测的不确定性。

英文摘要:

We develop a statistical test on the expected difference in age estimates of two coeval stars in detached double-lined eclipsing binary systems that are only caused by observational uncertainties. We focus on stars in the mass range [0.8; 1.6] Msun, and on stars in the main-sequence phase. The ages were obtained by means of the maximum-likelihood SCEPtER technique. The observational constraints used in the recovery procedure are stellar mass, radius, effective temperature, and metallicity [Fe/H]. We defined the statistic W computed as the ratio of the absolute difference of estimated ages for the two stars over the age of the older one. We determined the critical values of this statistics above which coevality can be rejected. The median expected difference in the reconstructed age between the coeval stars of a binary system -- caused alone by the observational uncertainties -- shows a strong dependence on the evolutionary stage. This ranges from about 20% for an evolved primary star to about 75% for a near ZAMS primary. The median difference also shows an increase with the mass of the primary star from 20% for 0.8 Msun stars to about 50% for 1.6 Msun stars. The reliability of these results was checked by repeating the process with a grid of stellar models computed by a different evolutionary code. We show that the W test is much more sensible to age differences in the binary system components than the alternative approach of comparing the confidence interval of the age of the two stars. We also found that the distribution of W is, for almost all the examined cases, well approximated by beta distributions. The proposed method improves upon the techniques that are commonly adopted for judging the coevality of an observed system. It also provides a result founded on reliable statistics that simultaneously accounts for all the observational uncertainties.

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