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arXiv 1909.09488astro-ph.SR
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开普勒和CoRoT目标的基本性质-- IV。最小$Δν$频率的质量和半径及其意义

Fundamental properties of Kepler and CoRoT targets -- IV. Masses and radii from frequencies of minimum $Δν$ and their implications

M. Yıldız, Z. Çelik Orhan, C. Kayhan

摘要:

最近,Yildiz,Orhan和Kayhan通过分析90颗恒星的振荡频率,指出由He { \scriptsize II}电离带的毛刺所产生的参考频率($ν_{\rm min0}$,$ν_{\rm min1}$和$ν_{\rm min2}$)对确定它们的有效温度具有很强的诊断潜力。在这项研究中,我们继续分析相同的恒星,并计算它们的质量,半径和年龄从不同的标度关系,包括关系的基础上$ν_{\rm min0}$,$ν_{\rm min1}$和$ν_{\rm min2}$。对于大多数恒星,使用$ν_{\rm min0}$和$ν_{\rm min1}$计算的质量非常接近。对于38颗恒星,这些质量之间的差异小于0.024 ${\rm M}_\odot$。这些恒星的半径与$ν_{\rm min0}$和$ν_{\rm min1}$更接近,相差不到0.007 ${\rm R}_\odot$。这些恒星可能是最著名的类太阳振荡星,值得详细研究。我们推导出的质量和半径的小行星地震表达式显示出对金属丰度的轻微依赖。因此,我们开发了一种新的方法来计算初始金属丰度从这个表面金属丰度考虑到微观扩散的影响。初始金属丰度的时间依赖性显示了一些非常有趣的特征,这些特征对于我们理解银河系盘的化学富集可能很重要。根据我们的发现,盘的每个时代都有自己的最低和最高金属丰度值。似乎旋转速度与Skumanich关系给出的年龄的1/2次方成反比。

英文摘要:

Recently, by analysing the oscillation frequencies of 90 stars, Yildiz, Çelik Orhan & Kayhan have shown that the reference frequencies ($ν_{\rm min0}$, $ν_{\rm min1}$ and $ν_{\rm min2}$) derived from glitches due to He {\scriptsize II} ionization zone have very strong diagnostic potential for the determination of their effective temperatures. In this study, we continue to analyse the same stars and compute their mass, radius and age from different scaling relations including relations based on $ν_{\rm min0}$, $ν_{\rm min1}$ and $ν_{\rm min2}$. For most of the stars, the masses computed using $ν_{\rm min0}$ and $ν_{\rm min1}$ are very close to each other. For 38 stars, the difference between these masses is less than 0.024 ${\rm M}_\odot$. The radii of these stars from $ν_{\rm min0}$ and $ν_{\rm min1}$ are even closer, with differences of less than 0.007 ${\rm R}_\odot$. These stars may be the most well known solar-like oscillating stars and deserve to be studied in detail. The asteroseismic expressions we derive for mass and radius show slight dependence on metallicity. We therefore develop a new method for computing initial metallicity from this surface metallicity by taking into account the effect of microscopic diffusion. The time dependence of initial metallicity shows some very interesting features that may be important for our understanding of chemical enrichment of Galactic Disc. According to our findings, every epoch of the disc has its own lowest and highest values for metallicity. It seems that rotational velocity is inversely proportional to 1/2 power of age as given by the Skumanich relation.

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