Dynamical tides in Jupiter as revealed by Juno

Abstract

The Juno orbiter continues to collect data on Jupiter's gravity field with unprecedented precision since 2016, recently reporting a non-hydrostatic component in the tidal response of the planet. At the mid-mission perijove 17, Juno registered a Love number $k_2=0.565\pm 0.006$ that is $-4\pm 1\%$ ($1\sigma$) from the theoretical hydrostatic $k_2^{(hs)}=0.590$. Here we assess whether the aforementioned departure of tides from hydrostatic equilibrium represents the neglected gravitational contribution of dynamical tides. We employ perturbation theory and simple tidal models to calculate a fractional dynamical correction $\Delta k_2$ to the well-known hydrostatic $k_2$. Exploiting the analytical simplicity of a toy uniform-density model, we show how the Coriolis acceleration motivates the negative sign in the $\Delta k_2$ observed by Juno. By simplifying Jupiter's interior into a core-less, fully-convective, and chemically-homogeneous body, we calculate $\Delta k_2$ in a model following an $n=1$ polytrope equation of state. Our numerical results for the $n=1$ polytrope qualitatively follow the behaviour of the uniform-density model, mostly because the main component of the tidal flow is similar in each case. Our results indicate that the gravitational effect of the Io-induced dynamical tide leads to $\Delta k_2=-4\pm 1\%$, in agreement with the non-hydrostatic component reported by Juno. Consequently, our results suggest that Juno obtained the first unambiguous detection of the gravitational effect of dynamical tides in a gas giant planet. These results facilitate a future interpretation of Juno tidal gravity data with the purpose of elucidating the existence of a dilute core in Jupiter.

22 pages, 5 figures, accepted to PSJ

References in corpus (4)

• Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core
• Resonance locking in giant planets indicated by the rapid orbital expansion of Titan
• Saturn Ring Seismology: Evidence for Stable Stratification in the Deep Interior of Saturn
• Saturn's rings as a seismograph to probe Saturn's internal structure

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• Rotating Love: The dynamical tides of spinning Newtonian stars
• Updated Studies on Exomoons in the HD 23079 System
• Jupiter's Dynamical Love Number