Planet Mass and Metallicity: The Exoplanets and Solar System Connection

TL;DR

This paper explores the relationship between planet mass and metallicity, comparing solar system giants and exoplanets, and develops a formalism to understand metal distribution and stratification within planetary envelopes.

Contribution

It introduces a new formalism combining envelope metallicity and bulk density to study metal stratification in giant planets, aiding interpretation of future JWST and Ariel observations.

Findings

Evidence of a mass-metallicity trend from bulk density estimates.

Outer envelope metallicity measurements are less conclusive about the trend.

The formalism can help interpret radial composition gradients in exoplanets.

Abstract

Theoretical studies of giant planet formation suggest that substantial quantities of metals - elements heavier than hydrogen and helium - can be delivered by solid accretion during the envelope-assembly phase. This metal enhancement process is believed to diminish as a function of planet mass, leading to predictions for a mass-metallicity relationship. This picture is supported by the abundance of CH$_4$ in solar system giant planets, which is unaffected by condensation, unlike H$_2$O. However, all of the solar system giants exhibit some evidence for stratification of metals outside of their cores. In this context, two fundamental questions are whether metallicity of giant planets inferred from observations of the outer envelope layers represents their bulk metallicities, and if not, how are metals distributed within these planets. Comparing the mass-metallicity relationship inferred for solar system giants with various tracers of exoplanet metallicity has yielded a range of results. There is evidence of a solar-system-like mass-metallicity trend using bulk density estimates of exoplanets. However, transit-spectroscopy-based tracers of exoplanet metallicity, which probe only the outer layers of the envelope, are less clear about a mass-metallicity trend and radial composition gradients. The large number of known exoplanets enables statistical characterization. We develop a formalism for comparing both the metallicity inferred for the outer envelope and the metallicity inferred using the bulk density and show this combination may offer insights into metal stratification within planetary envelopes. Thus, future exoplanet observations with JWST and Ariel will be able to shed light on the conditions governing radial composition gradients in exoplanets and, perhaps, provide information about the factors controlling stratification and convection in our solar system gas giants.