Fig. 2. Jovian-minimum-distance maps for the Greek and Trojan orbital configurations.

Dynamical map of a zoomed-in portion of Fig. 1 (top), and another made with the same initial orbital configuration, but with the initial mean anomaly trailing Jupiter by 60° (bottom), representing the “Trojan” L₅ scenario. The Mercurius package within REBOUND, with integrator time step of 0.0025 × 2π (equivalent to about 1 day), was used to propagate an equidistant grid of 2.25 million initial (a, e) values for 100 years. The color bar represents the logarithm of the minimum approach distance to Jupiter (in planetary radii) experienced by the TPs in their heliocentric motion under the Sun-Jupiter-TP three-body model. A value of less than 2.87 means that the TP entered the Jovian Hill sphere during its evolution with 0 corresponding to a Jovian impact, and a value above 3.35 implies that it never got within 3 Hill radii. a, semi-major axis; e, eccentricity.