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

Abstract

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.

21 Pages, 3 figures, plus Supplementary Information

References in corpus (30)

• The Interior Structure, Composition, and Evolution of Giant Planets
• Shock Compression of Deuterium and the Interiors of Jupiter and Saturn
• A new vision on giant planet interiors: the impact of double diffusive convection
• A Massive Core in Jupiter Predicted From First-Principles Simulations
• Hydrogen-Helium Mixtures in the Interiors of Giant Planets
• Jupiter models with improved ab initio hydrogen EOS (H-REOS.2)
• Heat transport in giant (exo)planets: a new perspective
• Ab Initio Equation of State for Hydrogen-Helium Mixtures with Recalibration of the Giant-Planet Mass-Radius Relation
• Planet formation with envelope enrichment: new insights on planetary diversity
• Rocky core solubility in Jupiter and giant exoplanets
• Sequestration of noble gases in giant planet interiors
• Phase separation in hydrogen-helium mixtures at Mbar pressures
• Layered convection as the origin of Saturn's luminosity anomaly
• A new model for mixing by double-diffusive convection (semi-convection): I. The conditions for layer formation
• Giant Planet Formation, Evolution, and Internal Structure
• Concentric Maclaurin spheroid models of rotating liquid planets
• Jupiter internal structure: the effect of different equations of state
• Analysis of laser shock experiments on precompressed samples using a quartz reference and application to warm dense hydrogen and helium
• Jupiter's formation and its primordial internal structure
• The Evolution and Internal Structure of Jupiter and Saturn with Compositional Gradients
• Understanding Jupiter's Interior
• An Exploration of Double Diffusive Convection in Jupiter as a Result of Hydrogen-Helium Phase Separation
• Nebular water depletion as the cause of Jupiter's low oxygen abundance
• Solubility of Iron in Metallic Hydrogen and Stability of Dense Cores in Giant Planets
• Measuring Jupiter's water abundance by Juno: the link between interior and formation models
• Bayesian Evolution Models for Jupiter with Helium Rain and Double-diffusive Convection
• The Concentric Maclaurin Spheroid method with tides and a rotational enhancement of Saturn's tidal response
• The properties of heavy elements in giant planet envelopes
• Murchison Widefield Array Limits on Radio Emission from ANTARES Neutrino Events
• Correlated charge transport in bilinear tunnel junction arrays

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• Origins of Hot Jupiters
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• A New Window into Planet Formation and Migration: Refractory-to-Volatile Elemental Ratios in Ultra-hot Jupiters
• The Formation of Jupiter's Diluted Core by a Giant Impact
• Phase diagram of hydrogen and a hydrogen-helium mixture at planetary conditions by Quantum Monte Carlo simulations
• How drifting and evaporating pebbles shape giant planets II: Volatiles and refractories in atmospheres
• Connecting planet formation and astrochemistry: A main sequence for C/O in hot-exoplanetary atmospheres
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• Saturn's deep atmospheric flows revealed by the Cassini Grand Finale gravity measurements
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• Planet formation by pebble accretion in ringed disks
• Ab initio based equation of state of dense water for planetary and exoplanetary modeling
• Revelations on Jupiter's Formation, Evolution and Interior: Challenges from Juno Results
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• Jupiter's interior from Juno: Equation-of-state uncertainties and dilute core extent
• Giant planet formation at the pressure maxima of protoplanetary disks II. A hybrid accretion scenario
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• Jupiter's heavy-element enrichment expected from formation models
• How planets grow by pebble accretion II: Analytical calculations on the evolution of polluted envelopes
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• CRIRES+ and ESPRESSO reveal an atmosphere enriched in volatiles relative to refractories on the ultra-hot Jupiter WASP-121b
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• How drifting and evaporating pebbles shape giant planets III: The formation of WASP-77A b and $\tau$ Boötis b
• The distribution of heavy-elements in giant protoplanetary atmospheres: the importance of planetesimal-envelope interactions
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• The Primordial Entropy of Jupiter
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• A transit survey to search for planets around hot subdwarfs: I. methods and performance tests on light curves from Kepler, K2, TESS, and CHEOPS
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• An N-body population synthesis framework for the formation of moons around Jupiter-like planets
• Enriching inner discs and giant planets with heavy elements
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• GASTLI: An open-source coupled interior-atmosphere model to unveil gas giant composition
• Rotation reduces convective mixing in Jupiter and other gas giants
• The future large obliquity of Jupiter
• Dynamical tides in Jupiter and the role of interior structure
• Relation of Gravity, Winds, and the Moment of Inertia of Jupiter and Saturn
• The Bimodal Distribution in Exoplanet Radii: Considering Varying Core Compositions and ${\mathrm{H}}_2$ Envelope's Sizes
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• Connecting Planetary Composition with Formation
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• Internal Structure of Giant and Icy Planets: Importance of Heavy Elements and Mixing
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• Formation of Giant Planets
• Accelerated free energy estimation in ab initio path integral Monte Carlo simulations
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