Implications for the collisional strength of Jupiter Trojans from the Eurybates family

TL;DR

This study models the collisional evolution of Jupiter Trojans, linking their collisional strength to the age of the Eurybates family and predicting observable features for the Lucy mission.

Contribution

It provides new insights into the collisional strength of Jupiter Trojans and constrains the age of the Eurybates family based on the survival of Queta.

Findings

Eurybates family likely formed from a catastrophic impact on a 100 km rubble pile.

The collisional strength of Trojans is weaker than basaltic material, about ten times lower.

Different collisional histories affect crater predictions for the Lucy mission.

Abstract

In this work, we model the collisional evolution of the Jupiter Trojans and determined under which conditions the Eurybates-Queta system survives. We show that the collisional strength of the Jupiter Trojans and the age of the Eurybates family and by extension Queta are correlated. The collisional grinding of the Jupiter Trojan population over 4.5 Gy results in a size-frequency distribution (SFD) that remains largely unaltered at large sizes (>10 km) but is depleted at small sizes (10 m to 1 km). This results in a turnover in the SFD, the location of which depends on the collisional strength of the material. It is to be expected that the Trojan SFD bends between 1 and 10 km. Based on the SFD of the Eurybates family, we find that the family was likely the result of a catastrophic impact onto a 100 km rubble pile target. This corresponds to objects with a rather low collisional strength (10 times weaker than that of basaltic material studied in Benz & Asphaug1999). Assuming this weak strength, and an initial cumulative slope of the size frequency distribution of 2.1 between diameters of 2 m and 100 km when the Trojans were captured, the existence of Queta, the satellite of Eurybates, implies an upper limit for the family age of 3.7 Gy. Alternatively, we demonstrate that an unconventional collisional strength with a minimum at 20 m is a plausible candidate to ensure the survival of Queta over the age of the Solar System. Finally, we show how different collisional histories change the expected number of craters on the targets of the Lucy mission and that Lucy will be able to differentiate between them.