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arXiv 2006.07417astro-ph.SR
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潮汐星震学:开普勒双星KIC 3230227平衡态非线性模耦合的可能证据

Tidal Asteroseismology: Possible Evidence of Non-linear Mode Coupling in an Equilibrium State in Kepler Eclipsing Binary KIC 3230227

Zhao Guo

摘要:

此前,在偏心食双星KIC 3230227中发现了一系列潮汐激发的振荡。脉动的振幅和相位表明所观察到的振荡是双四重模。在本文中,我们细化的分析和提取更多的振荡频率。我们还研究了振幅和相位的时间变化,并表明几乎所有的模式有稳定的相位和振幅。然后,我们专注于非轨道谐波振荡。我们考虑两种形成机制:1)地面对流层的非线性响应,和2)非线性三/多模耦合。虽然前者可以解释一些观察到的特征,我们发现后者的机制更可能。假设这些是耦合模式,四年以上的恒定振幅/相位可以通过模式耦合中的平衡态或经历具有非常长周期的极限循环的模式来解释。观察到的频率失谐和计算的阻尼率的子模式有利于平衡态的解释。通过对三模耦合振幅方程的积分验证了这一点。我们发现,在Weinberg等人,其涉及所观察到的频率失谐、相位失谐和模式阻尼率,对于一个模式三元组近似满足。我们还尝试根据观测到的模式振幅比和非线性三模耦合中的选择定则来识别模式的方位角数。我们将讨论这些观测结果对非线性潮汐星震学的进一步影响。

英文摘要:

Previously, a series of tidally-excited oscillations were discovered in the eccentric eclipsing binary KIC 3230227. The pulsation amplitudes and phases suggest the observed oscillations are prograde quadruple modes. In this paper, we refine the analysis and extract more oscillation frequencies. We also study the temporal variations of amplitudes and phases and show that almost all modes have stable phases and amplitudes. We then focus on the non-orbital-harmonic oscillations. We consider two formation mechanisms: 1) nonlinear response of the surface convective layer, and 2) nonlinear three/multi-mode coupling. Although the former can explain some of the observed features, we find the latter mechanism is more probable. Assuming that these are coupled modes, the constant amplitude/phase over four years can be explained by either an equilibrium state in the mode coupling or modes undergoing limit cycles with very long periods. The observed frequency detuning and the calculated damping rates of the daughter modes favor the equilibrium-state interpretation. This is verified by integrating the amplitude equations of three-mode coupling. We find that the steady-state relation derived in Weinberg et al., which relates the observed frequency detuning, phase detuning, and mode damping rates, is approximately satisfied for one mode triplet. We also try to identify the azimuthal number of the modes based on the observed mode amplitude ratios and the selection rules in nonlinear three-mode coupling. We discuss further implications of these observations on nonlinear tidal asteroseismology.

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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