A group of a few thousand asteroids that travel in roughly the same orbit as Jupiter. They occupy the L4 and L5 Lagrange points of the Sun-Jupiter system. As such, they have a 1:1 orbital resonance with Jupiter. The L4 and L5 Lagrange points are stable, meaning that any body occupying these points will tend to return if disturbed by a small enough impulse. The name Trojan, refers to the fact that all these asteroids are named after heroes from the Iliad: Achilles, Hector, Odysseus, etc.