  We present a new crater chronology for Jupiter's Trojan asteroids. This tool
can be used to interpret the collisional history of the bodies observed by
NASA's Lucy mission. The Lucy mission will visit a total of six Trojan
asteroids: Eurybates, Polymele, Orus, Leucus, and the near equal mass binary
Patroclus-Menoetius. In addition, Eurybates and Polymele each have a small
satellite. Here we present a prediction of Trojan cratering based on current
models of how the Solar System and the objects themselves evolved. We give
particular emphasis to the time lapsed since their implantation into stable
regions near Jupiter's Lagrangian L4 and L4 points. We find that cratering on
Trojans is generally dominated by mutual collisions, with the exception of a
short period of time (~10 Myr) after implantation, in which cometary impacts
may have been significant. For adopted crater scaling laws, we find that the
overall spatial density of craters on Trojans is significantly lower than that
of Main Belt asteroids on surfaces with similar formation ages. We also discuss
specific predictions for similar-sized Eurybates and Orus, and the binary
system Patroclus-Menoetius.
