论文标题

木星 - io内部轨道共振的重力烙印

The gravitational imprint of an interior-orbital resonance in Jupiter-Io

论文作者

Idini, Benjamin, Stevenson, David J.

论文摘要

在中局中期的Perijove 17中,NASA的Juno任务揭示了木星观察到的高度潮汐响应与理论平衡潮汐响应之间的7σ$差异,即爱数$ k_ {42} $。在这里,我们提出了一种基于木星稀释核心中的内部重力波与IO轨道运动之间的内部轨道共振,对这种令人困惑的分歧进行解释。我们使用简单的木星模型来计算分数校正$ΔK_{42} $,以使$ g $ - 模式的动态潮汐响应带入木星的稀释核心。我们的结果表明,扩展的稀释核心($ r \ gtrsim0.7r_j $)与IO产生内部轨道共振,它将木星的潮汐响应修改为$δk_{42} \ sim-11 \%\%$,使我们可以适合Juno Juno的$ K_ {42} $。在我们提出的自洽场景中,木星的稀释核心会随着IO的轨道迁移的共振锁定而演变,这使内部轨道共振能够持续在地质时间表上。这种情况需要一个稀释的核心,随着时间的流逝,它变得更顺畅或收缩,$ _4^2G_1 $模式($ \ ell,m,m,n = 4,2,1 $),共振潮汐消散达到$ q_4 \ sim1000 $。木星的稀释核心进化路径和共鸣$ _4^2G_1 $模式的耗散机制是不确定的,并激发了未来的分析。到目前为止,还没有其他替代方案来解释Juno $ k_ {42} $中的$7σ$差异。我们提出的内部轨道共振可以通过Juno观察结果来测试$ k_ {42} $潮汐在Europa上在木星上引起的潮汐,这是在扩展任务结束时(2025年中期)获得的,以及对木星的未来地震学观察结果,对木星的$ _4^2G_1 $ _4^2G_1 $模式振动频率。

At mid-mission perijove 17, NASA's Juno mission has revealed a $7σ$ discrepancy between Jupiter's observed high-degree tidal response and the theoretical equilibrium tidal response, namely the Love number $k_{42}$. Here, we propose an interpretation for this puzzling disagreement based on an interior-orbital resonance between internal gravity waves trapped in Jupiter's dilute core and the orbital motion of Io. We use simple Jupiter models to calculate a fractional correction $Δk_{42}$ to the equilibrium tidal response that comes from the dynamical tidal response of a $g$-mode trapped in Jupiter's dilute core. Our results suggest that an extended dilute core ($r\gtrsim0.7R_J$) produces an interior-orbital resonance with Io that modifies Jupiter's tidal response in $Δk_{42}\sim-11\%$, allowing us to fit Juno's $k_{42}$. In our proposed self-consistent scenario, Jupiter's dilute core evolves in resonant locking with Io's orbital migration, which allows the interior-orbital resonance to persist over geological timescales. This scenario requires a dilute core that becomes smoother or shrinks over time, together with a $_4^2g_1$ mode ($\ell,m,n=4,2,1$) with resonant tidal dissipation reaching $Q_4\sim1000$. Jupiter's dilute core evolution path and the dissipation mechanism for the resonant $_4^2g_1$ mode are uncertain and motivate future analysis. No other alternative exists so far to explain the $7σ$ discrepancy in Juno $k_{42}$. Our proposed interior-orbital resonance can be tested by Juno observations of $k_{42}$ tides raised on Jupiter by Europa as obtained at the end of the extended mission (mid 2025), and by future seismological observations of Jupiter's $_4^2g_1$ mode oscillation frequency.

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