Satellitesimal Formation via Collisional Dust Growth in Steady Circumplanetary Disks

TL;DR

This study investigates the in-situ formation of satellitesimals in circumplanetary disks through dust coagulation, identifying specific conditions under which this process is feasible, and highlighting its limitations.

Contribution

It presents a detailed analysis of dust growth and drift in circumplanetary disks, establishing the conditions necessary for satellitesimal formation via collisional coagulation.

Findings

High dust-to-gas accretion ratio favors satellitesimal formation.

Low turbulence (α) helps prevent fragmentation during dust growth.

In-situ formation is unlikely under typical conditions, requiring extreme parameters.

Abstract

The icy satellites around Jupiter are considered to have formed in a circumplanetary disk. While previous models focused on the formation of satellites starting from satellitesimals, the question of how satellitesimals form from smaller dust particles has not been addressed so far. In this work, we study the possibility that satellitesimals form in situ in a circumplanetary disk. We calculate the radial distribution of the surface density and representative size of icy dust particles that grow by colliding with each other and drift toward the central planet in a steady circumplanetary disk with a continuous supply of gas and dust from the parent protoplanetary disk. The radial drift barrier is overcome if the ratio of the dust to gas accretion rates onto the circumplanetary disk, $\dot{M}_{\mathrm{d}}/\dot{M}_{\mathrm{g}}$, is high and the strength of turbulence, $\alpha$, is not too low. The collision velocity is lower than the critical velocity of fragmentation when $\alpha$ is low. Taken together, we find that the conditions for satellitesimal formation via dust coagulation are given by $\dot{M}_{\mathrm{d}}/\dot{M}_{\mathrm{g}}\ge1$ and $10^{-4}\le\alpha<10^{-2}$. The former condition is generally difficult to achieve, suggesting that the in-situ satellitesimal formation via particle sticking is viable only under an extreme condition. We also show that neither satellitesimal formation via the collisional growth of porous aggregates nor via streaming instability is viable as long as $\dot{M}_{\mathrm{d}}/\dot{M}_{\mathrm{g}}$ is low.