Formation of Jupiter using opacities based on detailed grain physics

TL;DR

This paper presents detailed grain physics-based opacities in simulations of Jupiter's formation, leading to significantly faster formation times compared to previous models with simplified opacities.

Contribution

It introduces a detailed grain physics model for opacities, resulting in more accurate and faster simulations of Jupiter's formation.

Findings

Lower opacities than previous assumptions accelerate formation.

Formation times are reduced by over 50% with new opacities.

Core masses vary with solid surface density, affecting formation outcomes.

Abstract

Numerical simulations, based on the core-nucleated accretion model, are presented for the formation of Jupiter at 5.2 AU in 3 primordial disks with three different assumed values of the surface density of solid particles. The grain opacities in the envelope of the protoplanet are computed using a detailed model that includes settling and coagulation of grains and that incorporates a recalculation of the grain size distribution at each point in time and space. We generally find lower opacities than the 2% of interstellar values used in previous calculations [Hubickyj, O., Bodenheimer, P., Lissauer, J. J., 2005. Icarus 179, 415--431; Lissauer, J. J., Hubickyj, O., D'Angelo, G., Bodenheimer, P., 2009. Icarus 199, 338-350]. These lower opacities result in more rapid heat loss from and more rapid contraction of the protoplanetary envelope. For a given surface density of solids, the new calculations result in a substantial speedup in formation time as compared with those previous calculations. Formation times are calculated to be 1.0, 1.9, and 4.0 Myr, and solid core masses are found to be 16.8, 8.9, and 4.7 Earth masses, for solid surface densities, sigma, of 10, 6, and 4 grams per squared centimeter, respectively. For sigma=10 and sigma=6 g/cm^2, respectively, these formation times are reduced by more than 50% and more than 80% compared with those in a previously published calculation with the old approximation to the opacity.