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arXiv 2301.02418astro-ph.EP
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木星的动力潮汐和内部结构的作用

Dynamical tides in Jupiter and the role of interior structure

Yufeng Lin

摘要:

上下文朱诺号航天器获得了高度精确的潮汐勒夫数,这对木星的潮汐响应和内部结构提供了重要的约束。目的。为了利用这些观测结果,有必要开发一种方法来精确计算木星的潮汐响应,并研究内部结构的作用。方法.本文用拟谱方法直接求解可压缩、自引力、旋转、粘性流体的线性化潮汐方程。充分考虑了科里奥利力,但忽略了离心力的影响。对于给定的行星内部模型,我们可以同时得到潮汐勒夫数的实部和虚部。结果我们计算了三个简单的木星内部模型的潮汐响应,其中可能包含一个紧凑的刚性核心或扩展的稀释核心。我们考虑的所有模型都能解释动力潮汐引起的部分修正$Δk_{22}\approx -4\%$,但都难以调和观测到的高度数潮汐Love数的$Δk_{42}\approx -11\%$。我们表明,科里奥利力显着修改重力模式在一个扩展的稀释核心在潮汐频率相关的伽利略卫星。我们证明,在外部区域的薄稳定层,如果存在的话,也会影响木星的潮汐响应。

英文摘要:

Context. The Juno spacecraft has obtained highly accurate tidal Love numbers, which provide important constraints on the tidal response and interior structure of Jupiter. Aims. In order to exploit these observations, it is necessary to develop an approach for accurately calculating the tidal response of Jupiter for a given interior model and to investigate the role of interior structure. Methods. We directly solve the linearized tidal equations of a compressible, self-gravitating, rotating and viscous fluid body using a pseudo-spectral method. The Coriolis force is fully taken into account but the centrifugal effect is neglected. We can simultaneously obtain the real and imaginary parts of the tidal Love numbers for a given planetary interior model. Results. We calculate the tidal responses for three simple interior models of Jupiter which may contain a compact rigid core or an extended dilute core. All of models we consider can explain the fractional correction $Δk_{22}\approx -4\%$ due to dynamical tides, but all have difficulties to reconcile the observed $Δk_{42}\approx -11\%$ for the high-degree tidal Love number. We show that the Coriolis force significantly modifies gravity modes in an extended dilute core at the tidal frequency relevant to the Galilean satellites. We demonstrate that a thin stable layer in the outer region, if exists, would also influence the tidal responses of Jupiter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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