588 Achilles

588 Achilles is an asteroid discovered on February 22, 1906, by the German astronomer Max Wolf. It was the first of the trojan asteroids to be discovered, and is named after Achilles, the fictional hero from the Iliad. It orbits in the L4 Lagrangian point of the Sun-Jupiter system. After a few such asteroids were discovered, the rule was established that the L4 point was the "Greek camp", while the L5 point was the "Trojan camp", though not before each camp had acquired a "spy" (624 Hektor in the Greek camp and 617 Patroclus in the Trojan camp).

Based on IRAS data, Achilles is 135km in diameter and is the 6th largest Jupiter Trojan.

JPL Small-Body Database list of the largest Jupiter Trojans based on IRAS data:
Trojan Diameter (km)
624 Hektor 225
911 Agamemnon 167
1437 Diomedes 164
1172 Ă„neas 143
617 Patroclus 141
588 Achilles 135
1173 Anchises 126
1143 Odysseus 126