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arXiv 1101.1502astro-ph.SR
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RR天琴座星的Blazhko效应

On the Blazhko Effect in RR Lyrae Stars

J. Robert Buchler, Zoltan Kollath

摘要:

Blazhko效应是一种长期的,通常不规则的光变曲线调制,发生在相当数量的天琴座RR型恒星中。自100多年前被发现以来,这种效应的物理起源一直是一个谜。我们在这里建立在Szabo等人最近对RRab星的观测和理论工作的基础上,他们通过流体动力学模拟发现,基本脉动模式可以通过与第9泛音的9:2共振相互作用而变得不稳定。交替的脉动周期出现,尽管这些仍然是周期性的,即不像观测中那样被调制。在这里,我们使用振幅方程形式主义来研究这两个模式之间的非线性,共振相互作用。我们发现,不仅基本的脉动模式打破成一个周期2周期通过非线性,共振相互作用的泛音,但振幅调制,在很宽的参数范围内的调制是不规则的,在观察。这种不规则的行为实际上是混沌的,并且产生于动力学中的奇异吸引子。

英文摘要:

The Blazhko effect is a long term, generally irregular modulation of the light curves that occurs in a sizeable number of RR Lyrae stars. The physical origin of the effect has been a puzzle ever since its discovery over a hundred years ago. We build here upon the recent observational and theoretical work of Szabo et al. on RRab stars who found with hydrodynamical simulations that the fundamental pulsation mode can get destabilized by a 9:2 resonant interaction with the 9th overtone. Alternating pulsation cycles arise, although these remain periodic, i.e. not modulated as in the observations. Here we use the amplitude equation formalism to study this nonlinear, resonant interaction between the two modes. We show that not only does the fundamental pulsation mode break up into a period two cycle through the nonlinear, resonant interaction with the overtone, but that the amplitudes are modulated, and that in a broad range of parameters the modulations are irregular as in the observations. This irregular behavior is in fact chaotic and arises from a strange attractor in the dynamics.

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