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arXiv 2001.01106astro-ph.EP
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伽利略卫星的长期演化:捕获木卫四进入共振

Long-term evolution of the Galilean satellites: the capture of Callisto into resonance

G. Lari, M. Saillenfest, M. Fenucci

摘要:

上下文强烈的潮汐耗散在力偶-木卫一中传播到所有参与拉普拉斯共振的卫星(木卫一,木卫二和木卫三),导致它们的轨道迁移。目标。我们的目标是描述未来的行为的伽利略卫星在太阳系的寿命和量化的拉普拉斯共振的稳定性。由于潮汐耗散使得退出当前共振态或捕获到新的共振态成为可能,我们研究了木卫四捕获到共振态的过程。方法.我们使用最近的半分析模型的改进版本进行了数百次传播。当木卫三向外移动时,它接近与木卫四的2:1共振,在系统中引起暂时的混乱运动。出于这个原因,我们绘制了共振相遇结果的统计图。结果这个系统可以分为两种不同的结果:A)三个2:1的两体共振链(木卫二-木卫二,木卫二-木卫三和木卫三-木卫四),或者B)一个包含木卫二-木卫二的2:1两体共振加上至少一个纯粹的4:2:1三体共振的共振链,最常见的是木卫二,木卫三和木卫四之间的共振链。在情况A(56%的模拟)中,拉普拉斯共振始终保持不变,偏心率保持限制在0.01以下的小值。在情况B(44%的模拟)中,拉普拉斯共振通常被破坏,木卫三和木卫四的偏心率可以增加到约0.1,使这种配置不稳定,并驱动系统进入新的共振。结论从我们的结果来看,木卫四被捕获进入共振似乎是极有可能的(100%的模拟)。假设最近对木卫一和木星之间的耗散的估计,共振相遇发生在从现在开始的大约1.5 Gyrs。因此,拉普拉斯共振的稳定性至少在高达约1.5 Gyrs时得到保证。

英文摘要:

Context. The strong tidal dissipation in the couple Jupiter-Io is spread to all the moons involved in the Laplace resonance (Io, Europa, and Ganymede), leading to a migration of their orbits. Aims. We aim to characterize the future behavior of the Galilean satellites over the Solar System lifetime and to quantify the stability of the Laplace resonance. Since tidal dissipation makes possible the exit from the current resonances or capture into new ones, we investigate the capture of Callisto into resonance. Methods. We perform hundreds of propagations using an improved version of a recent semi-analytical model. As Ganymede moves outwards, it approaches the 2:1 resonance with Callisto, inducing a temporary chaotic motion in the system. For this reason, we draw a statistical picture of the outcome of the resonant encounter. Results. The system can settle into two distinct outcomes: A) a chain of three 2:1 two-body resonances (Io-Europa, Europa-Ganymede and Ganymede-Callisto), or B) a resonant chain involving the 2:1 two-body resonance Io-Europa plus at least one pure 4:2:1 three-body resonance, most frequently between Europa, Ganymede and Callisto. In case A (56\% of the simulations), the Laplace resonance is always preserved and the eccentricities remain confined to small values below 0.01. In case B (44\% of the simulations), the Laplace resonance is generally disrupted and the eccentricities of Ganymede and Callisto can increase up to about 0.1, making this configuration unstable and driving the system into new resonances. Conclusion. From our results, the capture of Callisto into resonance appears to be extremely likely (100\% of our simulations). Assuming the most recent estimate of the dissipation between Io and Jupiter, the resonant encounter happens at about 1.5 Gyrs from now. Therefore, the stability of the Laplace resonance is guaranteed at least up to about 1.5 Gyrs.

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