论文标题
土星系统中的三体共振
Three-Body Resonances in the Saturnian System
论文作者
论文摘要
土星具有动态丰富的卫星系统,其中包括三对卫星之间的至少三个轨道共振:Mimas-Tethys 4:2,Ecceladus-Dione 2:1和Titan-Hyperion 4:3平均动作共振。关于土星卫星的轨道历史的研究通常认为它们过去的动态也仅由两体共振主导。使用直接的数值集成,我们发现土星卫星之间的三体共振在过去很普遍,并且可能导致相对长期但有限的捕获时间(10 Myr或更长时间)。我们发现,这些三体共振始终是偏心型类型的,并且似乎不会影响卫星的倾向。虽然一些三体共振位于接近两体共振(但涉及第三尸体的轨道进动),但其他三体共振是孤立的,没有两体论点几乎是共振。我们得出的结论是,对系统过去的未来研究必须充分考虑三体共振,这在过去的工作中被忽略了。
Saturn has a dynamically rich satellite system, which includes at least three orbital resonances between three pairs of moons: Mimas-Tethys 4:2, Enceladus-Dione 2:1, and Titan-Hyperion 4:3 mean-motion resonances. Studies of the orbital history of Saturn's moons usually assume that their past dynamics was also dominated solely by two-body resonances. Using direct numerical integrations, we find that three-body resonances among Saturnian satellites were quite common in the past, and could result in a relatively long-term, but finite capture time (10 Myr or longer). We find that these three-body resonances are invariably of the eccentricity type, and do not appear to affect the moons' inclinations. While some three-body resonances are located close to two-body resonances (but involve the orbital precession of the third body), others are isolated, with no two-body arguments being near resonance. We conclude that future studies of the system's past must take full account of three-body resonances, which have been overlooked in the past work.