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Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque

机译:周期性和准周期性吸引子,用于水星自旋轨道演化,并具有逼真的潮汐转矩

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摘要

In this paper, we make a detailed study of the spin-orbit dynamics of Mercury, as predicted by the realistic model which has been recently introduced in a series of papers mainly by Efroimsky and Makarov. We present numerical and analytical results concerning the nature of the librations of Mercury’s spin in the 3:2 resonance. The results provide evidence that the librations are quasi-periodic in time, consisting of a slow oscillation, with an amplitude of order of arcminutes, superimposed on the 88-day libration. This contrasts with recent astronomical observations and hence suggests that the 3:2 resonance in which Mercury has been trapped might have been originally described by a large-amplitude quasi-periodic libration which, only at a later stage, with the formation of a molten core, evolved into the small-amplitude libration which is observed nowadays.
机译:在本文中,我们对水银的自旋轨道动力学进行了详细研究,这是由最近由Efroimsky和Makarov撰写的一系列论文中引入的现实模型预测的。我们提供了有关3:2共振中水星自旋释放性质的数值和分析结果。结果提供了证据,表明解放在时间上是准周期性的,包括一个缓慢的振荡,振幅为弧分,叠加在88天的解放上。这与最近的天文学观测结果相反,因此表明水银被困在其中的3:2共振可能最初是由大幅度的准周期释放描述的,只有在后期才形成熔融核。演变成如今观察到的小振幅释放。

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