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arXiv 2301.00733astro-ph.SRastro-ph.HE
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大质量偏心双星系统潮汐振荡的理论研究

Theoretical investigation of the occurrence of tidally excited oscillations in massive eccentric binary systems

Piotr A. Kołaczek-Szymański, Tomasz Różański

摘要:

大质量和中等质量恒星比低质量恒星更频繁地存在于双星系统中。含有大质量主序星(MS)成分的双星通常以偏心轨道为特征,可以作为偏心椭球变星(EEV)观测。轨道相位相关的潮汐位作用于EEV各分量上,可引起潮汐振荡。我们调查的EEV组件的本征模谱和潮汐强迫频率之间的共振的历史取决于系统的初始参数。我们综合了整个MS的20,000个EEV的进化模型。后来,我们计算了每个模型的本征频率。我们只关注$l=2$、$m=0,+2$模式。知道模拟EEV轨道参数的时间变化和两个组成部分的本征频谱的变化,我们能够确定所谓的“共振曲线”,它描述了共振发生的总体机会。我们通过构建共振曲线的基本统计数据并使用机器学习方法(包括均匀流形近似和投影工具)分析其形态来分析共振曲线。从我们的样品EEV共振曲线的特点是惊人的多样性,包括异常长的共振或共振的长期进化时间的情况下发生。两个部件在接近TAMS时可能会受到增加的共振率。平均而言,我们应该更频繁地观察到TEO的EEV包含大质量的组件比中等质量的。对于部件靠近TAMS的EEV,TEO将特别明显。考虑到共振的总数和它们的速率,TEO可能在大质量和中等质量恒星(主要是TAMS附近)的角动量传输中发挥重要作用。

英文摘要:

Massive and intermediate-mass stars reside in binary systems much more frequently than low-mass stars. Binaries containing massive main-sequence (MS) component(s) are often characterised by eccentric orbits, and can be observed as eccentric ellipsoidal variables (EEVs). The orbital phase-dependent tidal potential acting on the components of EEV can induce tidally excited oscillations (TEOs). We investigate how the history of resonances between the eigenmode spectra of the EEV components and the tidal forcing frequencies depends on the initial parameters of the system. We synthesised 20,000 evolutionary models of the EEVs across the MS. Later, we calculated the eigenfrequencies for each model. We focused only on the $l=2$, $m=0,+2$ modes. Knowing the temporal changes in the orbital parameters of simulated EEVs and the changes of the eigenfrequency spectra for both components, we were able to determine so-called `resonance curves', which describe the overall chance of a resonance occurring. We analysed the resonance curves by constructing basic statistics for them and analysing their morphology using machine learning methods, including the Uniform Manifold Approximation and Projection tool. The EEV resonance curves from our sample are characterised by striking diversity, including the occurrence of exceptionally long resonances or the absence of resonances for long evolutionary times. Both components may be subject to increased resonance rates as they approach the TAMS. On average, we should observe TEOs more frequently in EEVs containing massive components than intermediate-mass ones. TEOs will be particularly well-pronounced for EEVs with the component(s) close to the TAMS. Given the total number of resonances and their rates, TEOs may play an important role in the transport of angular momentum within massive and intermediate-mass stars (mainly near TAMS).

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