Asteroids at these locations are continually changing position and can librate at least [+ or -]30[degrees] either side of the nominal points, and similarly in inclination.
Since the Lagrangian points L [sub.4] and L [sub.5] are stable, material can librate about these points individually: such orbits are called tadpole orbits.
Leighton Aspell enjoyed the rare pleasure of getting the better of Tony McCoy in a bobbing finish, Aspell and Ile de Librate just fending off the McCoy-ridden Ecuyer du Roi for the three-mile novice chase.