论文标题

巨人的快速轨道膨胀指示的巨型行星的共振锁定

Resonance locking in giant planets indicated by the rapid orbital expansion of Titan

论文作者

Lainey, Valéry, Casajus, Luis Gomez, Fuller, Jim, Zannoni, Marco, Tortora, Paolo, Cooper, Nicholas, Murray, Carl, Modenini, Dario, Park, Ryan S., Robert, Vincent, Zhang, Qingfeng

论文摘要

行星系统中的潮汐效应是天然卫星轨道迁移的主要驱动力。它们是由于天体内部深处发生的物理过程而引起的,从表面成像中,其作用很少被观察到。对于巨型行星系统,潮汐迁移速率取决于地球上的耗散过程,标准理论表明,轨道膨胀速率与距离11/2的功率成反比,这意味着诸如土星最大的月球泰坦(Titan)等外部月亮的迁移很少。在这里,我们使用Cassini航天器获得的两个独立测量值来测量泰坦的轨道膨胀率。我们发现泰坦以11.3 $ \ pm $ 2.0厘米/年的价格从土星迁移,对应于土星的潮汐质量因子Q $ \ simeq $ 100,而迁移时间尺度约为10 Gyr。这种快速的轨道膨胀表明,泰坦形成更接近土星,并已向外迁移到目前的位置。我们对泰坦和其他五个卫星的结果同意锁定潮汐理论的预测,这是由于地球内部惯性波的激发所维持的。相关的潮汐扩张仅对轨道距离敏感,激发了土星月球系统进化历史的修订。共振锁定机制可以在其他系统(例如恒星二进制系统和系外行星系统)中运行,并且它可以使潮汐耗散发生在更大的轨道分离下。

Tidal effects in planetary systems are the main driver in the orbital migration of natural satellites. They result from physical processes occurring deep inside celestial bodies, whose effects are rarely observable from surface imaging. For giant planet systems, the tidal migration rate is determined by poorly understood dissipative processes in the planet, and standard theories suggest an orbital expansion rate inversely proportional to the power 11/2 in distance, implying little migration for outer moons such as Saturn's largest moon, Titan. Here, we use two independent measurements obtained with the Cassini spacecraft to measure Titan's orbital expansion rate. We find Titan migrates away from Saturn at 11.3 $\pm$ 2.0 cm/year, corresponding to a tidal quality factor of Saturn of Q $\simeq$ 100, and a migration timescale of roughly 10 Gyr. This rapid orbital expansion suggests Titan formed significantly closer to Saturn and has migrated outward to its current position. Our results for Titan and five other moons agree with the predictions of a resonance locking tidal theory, sustained by excitation of inertial waves inside the planet. The associated tidal expansion is only weakly sensitive to orbital distance, motivating a revision of the evolutionary history of Saturn's moon system. The resonance locking mechanism could operate in other systems such as stellar binaries and exoplanet systems, and it may allow for tidal dissipation to occur at larger orbital separations than previously believed.

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