Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core

The Juno spacecraft has measured Jupiter's low-order, even gravitational moments, $J_2$--$J_8$, to an unprecedented precision, providing important constraints on the density profile and core mass of the planet. Here we report on a selection of interior models based on ab initio computer simulations of hydrogen-helium mixtures. We demonstrate that a dilute core, expanded to a significant fraction of the planet's radius, is helpful in reconciling the calculated $J_n$ with Juno's observations. Although model predictions are strongly affected by the chosen equation of state, the prediction of an enrichment of $Z$ in the deep, metallic envelope over that in the shallow, molecular envelope holds. We estimate Jupiter's core to contain an 7--25 Earth mass of heavy elements. We discuss the current difficulties in reconciling measured $J_n$ with the equations of state, and with theory for formation and evolution of the planet.