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首页> 外文期刊>PASJ: Publications of the Astronomical Society of Japan >Rosette Modes of Oscillations of Rotating Stars Caused by Close Degeneracies. I. Axisymmetric Modes
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Rosette Modes of Oscillations of Rotating Stars Caused by Close Degeneracies. I. Axisymmetric Modes

机译：近似简并性引起的自转星振荡的玫瑰花模式。 I.轴对称模式

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摘要

We present an analysis of unique axisymmetric eigenmodes of oscillations in rigidly rotating stars, which have been recently discovered numerically in the frequency region of low-order gravity modes of the polytropic model with index 3, and named as rosette modes after their structure of the eigenfunctions. We show that the appearance of rosette modes in the presence of slow rotation is caused by a close degeneracy in the frequency among several eigenmodes in the non-rotating case. Regarding the effect of the Coriolis force on stellar oscillations as a small perturbation, and applying quasi-degenerate perturbation theory, we can successfully reproduce the structure of rosette modes as a linear combination of several unperturbed eigenmodes, which have almost the same frequency and successive spherical degrees of the same parity. We confirm that the eigenfrequencies and the structure of the eigenfunctions that are determined by the perturbative technique are consistent with the results of more direct numerical computations, which are based on the decomposition of the eigenfunctions into a series of spherical harmonics. We discuss the characteristics of rosette modes in detail.
机译：我们对刚旋转的恒星的振荡的独特轴对称本征模态进行了分析，该模态最近在数值多变的指数为3的低阶重力模态的频率范围内被数值发现，并根据其本征函数的结构命名为玫瑰形模态。 。我们表明，在慢速旋转的情况下，玫瑰花模式的出现是由于在非旋转情况下，几种本征模式之间的频率接近简并引起的。关于科里奥利力对恒星振荡的影响是小的扰动，并且应用准简并扰动理论，我们可以成功地将玫瑰花模的结构重现为几种无扰动本征模的线性组合，它们具有几乎相同的频率和连续的球形相同奇偶校验的度数。我们确认，由微扰技术确定的本征频率和本征函数的结构与基于将本征函数分解为一系列球谐函数的更直接数值计算的结果一致。我们详细讨论了莲座丛模式的特征。

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