木星卫星系统动力学演变 III. 镜像与艾丽之间7/4平均运动共振的通过
Dynamical evolution of the Uranian satellite system III. The passage through the7/4 MMR between Miranda and Ariel
AI总结：
研究通过模拟分析木星卫星系统中镜像与艾丽之间的7/4平均运动共振是否能增加艾丽的偏心率，发现该共振无法有效激发偏心率。
摘要：
艾丽和乌姆布里尔之间5/3平均运动共振的通过仍然存在几个开放性问题。先前的研究表明，为了再现当前的轨道配置，艾丽在共振相遇前必须具有约0.01的偏心率，这将防止共振捕获。然而，艾丽轨道的快速潮汐圆化表明，在共振相遇前必须有某种机制激发其偏心率。在本工作中，我们使用N体积分器进行了大量模拟，以评估更早的镜像与艾丽之间的7/4平均运动共振是否可以作为增加艾丽偏心率的机制。我们的结果表明，由于迁移的分歧，共振捕获不会发生。当卫星穿越名义共振时，艾丽的偏心率仅被激发到3.4×10⁻⁴，远小于所需值。因此，7/4平均运动共振不是增加艾丽偏心率的可行机制。
英文摘要：
The passage through the $5/3$ mean-motion resonance between Ariel and Umbriel, two of Uranus's largest moons, still raises several open questions. Previous studies suggest that, in order to reproduce the current orbital configuration, Ariel must have had an eccentricity of approximately $\sim 0.01$ before the resonance encounter, which would prevent resonant capture. However, the rapid tidal circularization of Ariel's orbit implies that some prior mechanism must have excited its eccentricity before the resonance encounter. In this work, we performed a large number of simulations using an N-body integrator to assess whether the earlier $7/4$ mean-motion resonance between Miranda and Ariel could serve as a mechanism to increase Ariel's eccentricity. Our results show that, due to divergent migration, resonance capture does not occur. As the satellites cross the nominal resonance, Ariel's eccentricity is only excited to $3.4 \times 10^{-4}$, substantially smaller than the required value. Therefore, the $7/4$ mean-motion resonance is not a viable mechanism for increasing Ariel's eccentricity.
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。
