A Spectral Method to Compute the Tides of Laterally Heterogeneous Bodies

IF 3.8 Q2 ASTRONOMY & ASTROPHYSICS The Planetary Science Journal Pub Date : 2024-05-30 DOI:10.3847/psj/ad381f
Marc Rovira-Navarro, Isamu Matsuyama and Alexander Berne
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Abstract

Body tides reveal information about planetary interiors and affect their evolution. Most models to compute body tides rely on the assumption of a spherically symmetric interior. However, several processes can lead to lateral variations of interior properties. We present a new spectral method to compute the tidal response of laterally heterogeneous bodies. Compared to previous spectral methods, our approach is not limited to small-amplitude lateral variations; compared to finite element codes, this approach is more computationally efficient. While the tidal response of a spherically symmetric body has the same wavelength as the tidal force; lateral heterogeneities produce an additional tidal response with a spectra that depends on the spatial pattern of such variations. For Mercury, the Moon, and Io, the amplitude of this signal is as high as 1%–10% of the main tidal response for long-wavelength shear modulus variations higher than ∼10% of the mean shear modulus. For Europa, Ganymede, and Enceladus, shell-thickness variations of 50% of the mean shell thickness can cause an additional signal of ∼1% and ∼10% for the Jovian moons and Encelaudus, respectively. Future missions, such as BepiColombo and JUICE, might measure these signals. Lateral variations of viscosity affect the distribution of tidal heating. This can drive the thermal evolution of tidally active bodies and affect the distribution of active regions.
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计算侧向异质体潮汐的频谱法
星体潮汐揭示了行星内部的信息,并影响着行星的演化。大多数计算体潮的模型都依赖于球面对称内部的假设。然而,有几个过程会导致内部特性的横向变化。我们提出了一种新的光谱方法来计算横向异质天体的潮汐响应。与以前的光谱方法相比,我们的方法不局限于小振幅横向变化;与有限元代码相比,这种方法的计算效率更高。球面对称天体的潮汐响应波长与潮汐力波长相同,而横向异质性会产生额外的潮汐响应,其频谱取决于这种变化的空间模式。对于水星、月球和木卫二,当长波剪切模量变化高于平均剪切模量的 10%时,这一信号的振幅高达主要潮汐响应的 1%-10%。对于木卫二、木卫三和土卫二来说,平均壳厚的 50%的壳厚变化会导致额外的信号,对于木卫二和土卫二来说,分别为 1%和 10%。未来的飞行任务,如 BepiColombo 和 JUICE,可能会测量这些信号。粘度的横向变化会影响潮汐加热的分布。这可以推动潮汐活动天体的热演化,并影响活动区的分布。
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来源期刊
The Planetary Science Journal
The Planetary Science Journal Earth and Planetary Sciences-Geophysics
CiteScore
5.20
自引率
0.00%
发文量
249
审稿时长
15 weeks
期刊最新文献
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