论文标题

潮汐星星学学的新窗口:非线性激发的恒星特征和KOI-54中的周期间距模式

A New Window to Tidal Asteroseismology: Non-linearly Excited Stellar Eigenmodes and the Period Spacing Pattern in KOI-54

论文作者

Guo, Zhao, Ogilvie, Gordon I., Li, Gang, Townsend, Richard H. D., Sun, Meng

论文摘要

我们重新审视A型,主序列,怪异的二元KOI-54(心跳星的原型)中的潮汐激发振荡(TEOS)。尽管恒星的线性潮汐响应是一系列不是恒星特征频率的轨道谐波频率,但我们表明非线性激发的非骨骼 - 谐波harmonic teos是特征型。通过仔细选择满足模式耦合选择规则的模式,可以在傅立叶观察者中识别出四极重力模式的周期间距($ΔP$)模式($ΔP\约2520-2535 $ sec),检测显着性水平为$ 99.99.99.9 \%\%。推断的周期间距值与理论上的$ L = 2,M = 0 $ G模式的恒星模型非常吻合,具有测量的质量,半径和有效温度。我们还发现,$ n = 90,91 $谐波的两个最大振幅TEO非常接近共鸣,$ L = 2,M = 0 $ eigenmodes,可能来自不同的恒星。 先前关于潮汐振荡的作品主要集中在TEO振幅和相的建模上,TEO振幅对频率dewaning的高灵敏度(Tidal强迫减去频率减去最接近的恒星特征)需要恒星模型的非常密集的网格,并防止限制stellar物理参数。然而,这项工作通过使用从非线性TEOS推断出的星星的特征频以及可能非常紧密的线性TEOS来打开真正的潮汐星星学学的窗口。我们对这些鉴定出的特征G模型的地震建模表明,最佳匹配的恒星模型具有($ M \ 2.20,2.35 m _ {\ odot} $)和超极性金属性,与先前的测量非常吻合。

We revisit the Tidally Excited Oscillations (TEOs) in the A-type, main-sequence, eccentric binary KOI-54, the prototype of heartbeat stars. Although the linear tidal response of the star is a series of orbital-harmonic frequencies which are not stellar eigenfrequencies, we show that the non-linearly excited non-orbital-harmonic TEOs are eigenmodes. By carefully choosing the modes which satisfy the mode-coupling selection rules, a period spacing ($ΔP$) pattern of quadrupole gravity modes ($ΔP \approx 2520-2535$ sec) can be discerned in the Fourier spectrum, with a detection significance level of $99.9\%$. The inferred period spacing value agrees remarkably well with the theoretical $l=2,m=0$ g modes from a stellar model with the measured mass, radius and effective temperature. We also find that the two largest-amplitude TEOs at $N=90, 91$ harmonics are very close to resonance with $l=2,m=0$ eigenmodes, and likely come from different stars. Previous works on tidal oscillations primarily focus on the modeling of TEO amplitudes and phases, the high sensitivity of TEO amplitude to the frequency detuning (tidal forcing frequency minus the closest stellar eigenfrequency) requires extremely dense grids of stellar models and prevents us from constraining the stellar physical parameters easily. This work, however, opens the window of real tidal asteroseismology by using the eigenfrequencies of the star inferred from the non-linear TEOs and possibly very-close-to-resonance linear TEOs. Our seismic modeling of these identified eigen g-modes shows that the best-matching stellar models have ($M \approx 2.20, 2.35 M_{\odot}$) and super-solar metallicity, in good agreement with previous measurements.

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