588 Achilles is an asteroid found on February 22, 1906 by the German astronomer Max Wolf. It was the first of the Trojan asteroids to be found, and is named after Achilles, the fictional hero from the Iliad. It orbits in the L Lagrangian point of the Sun-Jupiter system. After a few such asteroids were found, the rule was made that the L point was the "Greek camp", while the L 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).