土星卫星Atlas混沌运动的起源
Origin of the chaotic motion of the Saturnian satellite Atlas
摘要：
我们重新审视阿特拉斯的动态。使用卡西尼国际空间站2004年2月至2013年8月的天体测量观测，库珀等人（2015年）发现了阿特拉斯目前受到54：53共转偏心率共振（CER）和54：53林德布拉德偏心率共振（LER）的干扰。他们证明了阿特拉斯的轨道是混沌的，李雅普诺夫时间为10年，这是与普罗米修斯的耦合共振相互作用（CER/LER）的直接结果。在这里，我们使用CoraLin分析模型（El Moutamid et al. 2014）研究了两种共振之间的相互作用，表明混沌区几乎填满了卫星轨道所占据的所有共转位置。四个70：67的半圆型平均运动与潘多拉的共振也是重叠的，但这些共振的影响要弱得多。频率分析使我们能够突出54：53共振之间的耦合，并确认一个简化的系统，包括由于普罗米修斯和土星的扁率的扰动只捕捉到动力学的基本特征。
英文摘要：
We revisit the dynamics of Atlas. Using Cassini ISS astrometric observations spanning February 2004 to August 2013, Cooper et al. (2015) found evidence that Atlas is currently perturbed by both a 54:53 corotation eccentricity resonance (CER) and a 54:53 Lindblad eccentricity resonance (LER) with Prometheus. They demonstrated that the orbit of Atlas is chaotic, with a Lyapunov time of order 10 years, as a direct consequence of the coupled resonant interaction (CER/LER) with Prometheus. Here we investigate the interactions between the two resonances using the CoraLin analytical model (El Moutamid et al. 2014), showing that the chaotic zone fills almost all the corotation sites occupied by the satellite's orbit. Four 70:67 apse-type mean motion resonances with Pandora are also overlapping, but these resonances have a much weaker effect. Frequency analysis allows us to highlight the coupling between the 54:53 resonances, and confirms that a simplified system including the perturbations due to Prometheus and Saturn's oblateness only captures the essential features of the dynamics.
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