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arXiv 0903.4854astro-ph.SR
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基于自洽场方法的快速旋转恒星模型中的脉动模

Pulsation modes in rapidly rotating stellar models based on the Self-Consistent Field method

D. R. Reese, K. B. MacGregor, S. Jackson, A. Skumanich, T. S. Metcalfe

摘要:

内容:新的观测手段,如空间飞行任务CoRoT和开普勒以及地面网络,正在并将以前所未有的精度收集恒星脉动数据。在观测到脉动的恒星中,很大一部分是快速旋转的。目的:我们的目标是在快速旋转的恒星模型中识别脉动模式,以便能够解释来自此类恒星的星震数据。研究方法:Lignières等人(2006)和Reese等人(2006)开发的脉动代码被应用于基于自洽场(SCF)方法的恒星模型(Jackson等人2004,2005,MacGregor等人2007)。结果如下:SCF模型中的脉动模式遵循与均匀旋转多方模型中的脉动模式类似的行为,前提是旋转轮廓不太不同。脉动模式分为不同的类别,三个主要的是岛,混乱,和回音壁模式,这是旋转对应的模式与低,中,高的l- |m|值,分别。岛屿模式的频率遵循的渐近模式非常相似的多变模型。将此渐近公式扩展到更高的方位阶,揭示了作为m的函数的更微妙的行为,并提供了旋转脉动模式的平均平流的第一个估计。基于变分原理的进一步计算证实了这种估计,并提供了可用于反演方法的旋转核。当旋转轮廓变得高度微分时,在低方位角阶数下发现岛模式和回音壁模式变得越来越困难。在高方位阶,回音壁模式,在某些情况下,岛模式,重新出现。

英文摘要:

Context: New observational means such as the space missions CoRoT and Kepler and ground-based networks are and will be collecting stellar pulsation data with unprecedented accuracy. A significant fraction of the stars in which pulsations are observed are rotating rapidly. Aims: Our aim is to characterise pulsation modes in rapidly rotating stellar models so as to be able to interpret asteroseismic data from such stars. Methods: The pulsation code developed in Lignières et al. (2006) and Reese et al. (2006) is applied to stellar models based on the self-consistent field (SCF) method (Jackson et al. 2004, 2005, MacGregor et al. 2007). Results: Pulsation modes in SCF models follow a similar behaviour to those in uniformly rotating polytropic models, provided that the rotation profile is not too differential. Pulsation modes fall into different categories, the three main ones being island, chaotic, and whispering gallery modes, which are rotating counterparts to modes with low, medium, and high l-|m| values, respectively. The frequencies of the island modes follow an asymptotic pattern quite similar to what was found for polytropic models. Extending this asymptotic formula to higher azimuthal orders reveals more subtle behaviour as a function of m and provides a first estimate of the average advection of pulsation modes by rotation. Further calculations based on a variational principle confirm this estimate and provide rotation kernels that could be used in inversion methods. When the rotation profile becomes highly differential, it becomes more and more difficult to find island and whispering gallery modes at low azimuthal orders. At high azimuthal orders, whispering gallery modes, and in some cases island modes, reappear.

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