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arXiv 1209.2728astro-ph.EP
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巨系外行星的脉动频率和模式

Pulsation Frequencies and Modes of Giant Exoplanets

Bastien Le Bihan, Adam Burrows

摘要:

我们计算了巨系外行星声振荡的本征频率和本征函数,并探讨了特征频率和本征频率对行星质量、行星半径、核心质量和包层中重元素质量分数等参数的依赖关系。我们提供度$l$高达8和径向阶n高达12的特征值。对于选定的l和n值,我们发现脉动的本征频率强烈依赖于行星的质量和半径,特别是在高频率。我们量化这种依赖性,通过计算的特征频率,这给了我们一个估计的规模的本征值谱在高频。在0.5 < M_P < 15 M_J的质量范围内,将行星半径固定为木星的质量,我们发现特征频率为~164.0 *(M_P/M_J)^(0.48)microHz,其中M_P为行星质量,M_J为木星质量。当半径范围为0.9 ~ 2.0 RJ时,将行星质量固定为木星质量,我们得到特征频率为~164.0 *(R_P/R_J)^(-2.09)microHz,其中R_P为行星半径,R_J为木星半径。我们探讨的脉动频率和巨大的系外行星的特征频率的致密核心的存在下的影响。我们发现,在信封中的重元素的存在影响的特征值分布的方式类似于一个致密的核心的存在。此外,我们将我们的形式主义应用于木星和土星,并发现结果与Gaulme et al.(2011)的观测数据和以前的理论工作一致。

英文摘要:

We calculate the eigenfrequencies and eigenfunctions of the acoustic oscillations of giant exoplanets and explore the dependence of the characteristic frequency and the eigenfrequencies on several parameters: the planet mass, the planet radius, the core mass, and the heavy element mass fraction in the envelope. We provide the eigenvalues for degree $l$ up to 8 and radial order n up to 12. For the selected values of l and n, we find that the pulsation eigenfrequencies depend strongly on the planet mass and radius, especially at high frequency. We quantify this dependence through the calculation of the characteristic frequency which gives us an estimate of the scale of the eigenvalue spectrum at high frequency. For the mass range 0.5 < M_P < 15 M_J, and fixing the planet radius to the Jovian value, we find that the characteristic frequency is ~164.0 * (M_P/M_J)^(0.48) microHz, where M_P is the planet mass and M_J is Jupiter's mass. For the radius range from 0.9 to 2.0 R_J, and fixing the planet's mass to the Jovian value, we find that the characteristic frequency is ~164.0 * (R_P/R_J)^(-2.09) microHz, where R_P is the planet radius and R_J is Jupiter's radius. We explore the influence of the presence of a dense core on the pulsation frequencies and on the characteristic frequency of giant exoplanets. We find that the presence of heavy elements in the envelope affects the eigenvalue distribution in ways similar to the presence of a dense core. Additionally, we apply our formalism to Jupiter and Saturn and find results consistent with both the observationnal data of Gaulme et al. (2011) and previous theoretical work.

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