LOL! The catchy name is Trojans.
The Trojan asteroids are trapped gravitationally at Jupiter’s LaGrange points (L4 and L5). These points are stable against small perturbations, which would normally cause them to drift away. There are 5 LaGrange points, but only L4 and L5 are stable in three dimensions, The others are quasi-stable, or stable in 2 dimensions only.