论文标题

谐振模式耦合$δ$ scuti星星

Resonant Mode Coupling in $δ$ Scuti Stars

论文作者

Mourabit, Mohammed, Weinberg, Nevin N.

论文摘要

Delta Scuti($δ$ SCT)变量是位于主序列和Hertzsprung-Russel图上的不稳定性带的相交的中间质量星。各种证据表明,非线性模式相互作用塑造了它们的振荡光谱,包括在$Δ$ sct Star KIC 8054146中特别引人注目的相互作用模式三重态的检测。通过这些观察,我们使用了三模式耦合的理论来研究非线性模式相互作用的强度和稳定模型的强度和预期。对于每个模型,我们计算$ \ sim 10^4 $模式三重态的频率引导和非线性耦合强度。我们发现,所有模型至少包含$ \ sim 100 $耦合的三胞胎,其引人注目和耦合强度与KIC 8054146中确定的三胞胎一致。我们的结果表明,共振模式相互作用在$δ$ sct中具有重要意义,并且可以解释为什么许多许多人在振幅和振动期间都具有快速的变化。

Delta Scuti ($δ$ Sct) variables are intermediate mass stars that lie at the intersection of the main sequence and the instability strip on the Hertzsprung-Russel diagram. Various lines of evidence indicate that nonlinear mode interactions shape their oscillation spectra, including the particularly compelling detection of resonantly interacting mode triplets in the $δ$ Sct star KIC 8054146. Motivated by these observations, we use the theory of three-mode coupling to study the strength and prevalence of nonlinear mode interactions in fourteen $δ$ Sct models that span the instability strip. For each model, we calculate the frequency detunings and nonlinear coupling strengths of $\sim 10^4$ unique combinations of mode triplets. We find that all the models contain at least $\sim 100$ well-coupled triplets whose detunings and coupling strengths are consistent with the triplets identified in KIC 8054146. Our results suggest that resonant mode interactions can be significant in $δ$ Sct stars and may explain why many exhibit rapid changes in amplitude and oscillation period.

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