Dynamical evolution of the Uranian satellite system II. Crossing of the 5/3 Ariel–Umbriel mean motion resonance

IF 2.5 2区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
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Abstract

At present, the main satellites of Uranus are not involved in any low order mean motion resonance (MMR). However, owing to tides raised in the planet, Ariel and Umbriel most likely crossed the 5/3 MMR in the past. Previous studies on this resonance passage relied on limited time-consuming Nbody simulations or simplified models focusing solely on the effects of the eccentricity or the inclination. In this paper, we aim to provide a more comprehensive view on how the system evaded capture in the 5/3 MMR. For that purpose, we developed a secular resonant two-satellite model with low eccentricities and low inclinations, including tides using the weak friction model. By performing a large number of numerical simulations, we show that capture in the 5/3 MMR is certain if the initial eccentricities of Ariel, e1, and Umbriel, e2, are related through (e12+e22)1/2<0.007. Moreover, we observe that the eccentricity of Ariel is the key variable to evade the 5/3 MMR with a high probability. We determine that for e1>0.015 and e2<0.01, the system avoids capture in at least 60% of the cases. We also show that, to replicate the currently observed system, the initial inclinations of Ariel and Umbriel must lay within I10.05° and 0.06°I20.11°, respectively. We checked these results using a complete Nbody model with the five main satellites and did not observe any significant differences.

天王星卫星系统的动态演变 II.5/3 阿列尔-乌姆布里埃尔平均运动共振的跨越
目前,天王星的主要卫星没有参与任何低阶平均运动共振(MMR)。然而,由于天王星上的潮汐,阿丽耶尔和翁布里尔很可能在过去穿过了 5/3 均值运动共振。以前对这一共振穿越的研究依赖于有限的耗时N体模拟或简化模型,只关注偏心率或倾角的影响。在本文中,我们的目的是提供一个更全面的视角,以了解该系统是如何躲避5/3 MMR的捕获的。为此,我们建立了一个低偏心率和低倾角的双卫星世俗共振模型,包括使用弱摩擦模型的潮汐。通过进行大量的数值模拟,我们表明,如果阿丽耶尔(Ariel)的初始偏心率e1和翁布里尔(Umbriel)的初始偏心率e2通过(e12+e22)1/2<0.007相关联,那么5/3MMR中的俘获是确定无疑的。此外,我们还发现阿里尔的偏心率是高概率规避 5/3 MMR 的关键变量。我们确定,当 e1>0.015 和 e2<0.01 时,系统至少能在 60% 的情况下避免被捕获。我们还证明,要复制目前观测到的系统,Ariel和Umbriel的初始倾角必须分别在I1≤0.05°和0.06°≤I2≤0.11°以内。我们用一个包含五颗主要卫星的完整 N-体模型检验了这些结果,没有观察到任何明显的差异。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Icarus
Icarus 地学天文-天文与天体物理
CiteScore
6.30
自引率
18.80%
发文量
356
审稿时长
2-4 weeks
期刊介绍: Icarus is devoted to the publication of original contributions in the field of Solar System studies. Manuscripts reporting the results of new research - observational, experimental, or theoretical - concerning the astronomy, geology, meteorology, physics, chemistry, biology, and other scientific aspects of our Solar System or extrasolar systems are welcome. The journal generally does not publish papers devoted exclusively to the Sun, the Earth, celestial mechanics, meteoritics, or astrophysics. Icarus does not publish papers that provide "improved" versions of Bode''s law, or other numerical relations, without a sound physical basis. Icarus does not publish meeting announcements or general notices. Reviews, historical papers, and manuscripts describing spacecraft instrumentation may be considered, but only with prior approval of the editor. An entire issue of the journal is occasionally devoted to a single subject, usually arising from a conference on the same topic. The language of publication is English. American or British usage is accepted, but not a mixture of these.
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