对太阳系共振自转研究的贡献
Contribution to the study of the resonant rotation in the Solar System
摘要：
这篇人类发展报告论文致力于研究巨型行星和水星的天然卫星的旋转。这些物体有共振旋转。大多数天然卫星同步旋转，显示出与母行星相同的半球（1：1自旋轨道共振）。水星的情况是独特的，因为它的自旋速率正好是它的平均运动的1.5倍（3：2自旋轨道共振）。这两种配置是动态平衡，达到阻尼后的初始旋转的相关机构。因此，旋转量是一个内部的签名，特别是一个假定的全球海洋。这份手稿分为三个部分。第一部分是专门的同步谐振。它提出了不同的旋转模型，从一个完全刚体的一个全球地下海洋。我们总是同时考虑所有的自由度，使用解析和数值解。这些模型被应用于泰坦，木卫四，Janus，Epimetheus，Mimas，ESTA和木卫一。第二部分介绍了信使号和贝皮科伦坡号两次空间任务的目标水星的共振旋转。我们特别揭示了它是如何陷入3：2共振的。最后一部分提出了一个算法，我阐述了解决旋转问题。
英文摘要：
This HDR-thesis is devoted to the study of the rotation of the natural satellites of the giant planets and of Mercury. These bodies have a resonant rotation. Most of the natural satellites rotate synchronously, showing the same hemisphere to their parent planet (1:1 spin-orbit resonance). The case of Mercury is unique since its spin rate is exactly 1.5 its mean motion (3:2 spin-orbit resonance). These two configurations are dynamical equilibria, reached after damping of the initial rotation of the relevant bodies. Thus, the rotation quantities are a signature of the interior, in particular of a putative global ocean. This manuscript divides into 3 parts. The first part is devoted to the synchronous resonance. It presents different models of rotation from a fully rigid body to a one with a global subsurfacic ocean. We always consider all the degrees of freedom simultaneously, using analytical and numerical resolutions. These models are applied on Titan, Callisto, Janus, Epimetheus, Mimas, Hyperion, and Io. The second part presents the resonant rotation of Mercury, target of the two space missions MESSENGER and BepiColombo. We reveal in particular how it got trapped into its 3:2 resonance. The final part presents an algorithm I have elaborated to tackle the rotational problems.
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