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arXiv 1503.02601astro-ph.SR
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由自转廓线假设导出的恒星自转分裂不等式

Inequalities on stellar rotational splittings derived from assumptions on the rotation profile

D. R. Reese

摘要:

背景:由于CoRoT和开普勒任务,已经观察到一些具有旋转分裂的脉动恒星。这对于演化中的(亚巨星和巨星)恒星尤其如此,并导致不同的研究小组通过不同的方法来研究它们的旋转轮廓。目的:我们想建立一些标准,这将有助于我们知道是否减少旋转配置文件,或一个满足瑞利的稳定性标准,是兼容的一组观察到的旋转分裂为一个给定的参考模型。研究方法:我们推导出不等式的旋转分裂使用一个重新制定的版本的方程,涉及分裂的旋转配置文件和内核。结果:这些不等式在一些简单的例子上得到了验证。第一个例子表明,他们是如何能够揭示当旋转配置文件是增加某处或不符合瑞利准则的主序星,这取决于配置文件和$\ell$值的分裂。下一个例子说明了观测到的演化恒星和参考模型之间的轻微不匹配如何导致关于旋转轮廓的错误结论。我们还展示了如何恒星和模型之间的频率差异,这通常应该揭示这种不匹配,可以掩盖近表面效应的频率校正。

英文摘要:

Context: A number of pulsating stars with rotational splittings have been observed thanks to the CoRoT and Kepler missions. This is particularly true of evolved (sub-giant and giant) stars, and has led various groups to investigate their rotation profiles via different methods. Aims: We would like to set up some criteria which will help us to know whether a decreasing rotation profile, or one which satisfies Rayleigh's stability criterion, is compatible with a set of observed rotational splittings for a given reference model. Methods: We derive inequalities on the rotational splittings using a reformulated version of the equation which relates the splittings to the rotation profile and kernels. Results: These inequalities are tested out on some simple examples. The first examples show how they are able to reveal when a rotation profile is increasing somewhere or inconsistent with Rayleigh's criterion in a main sequence star, depending on the profile and the $\ell$ values of the splittings. The next example illustrates how a slight mismatch between an observed evolved star and a reference model can lead to erroneous conclusions about the rotation profile. We also show how frequency differences between the star and the model, which should normally reveal this mismatch, can be masked by frequency corrections for near-surface effects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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