Objects in a horseshoe orbit librate around 180 from the primary.

Another class is the horseshoe orbit, in which objects librate around 180 from the larger body.

Quasi-satellites are co-orbital objects that librate around 0 from the primary.

The point around which they librate is the same, irrespective of their mass or orbital eccentricity.

The trapped body will librate slowly around the point of equilibrium in a tadpole or horseshoe orbit.

They slowly librate around their respective equilibrium points, periodically moving closer to Jupiter or farther from it.

It is possible for Neptune trojans to librate up to 30 from their associated Lagrangian points with a 10,000-year period.

Unlike the Earth's Moon, Enceladus does not appear to librate about its spin axis (more than 1.5 ).

It can truly be called a valiant effort by Hemu to librate the country in medieval times through his courage, far sightedness, administrative skills and intelligence.

At any energy there will be at least one closed orbit, and this orbit is said to parent the family of non-closed orbits that librate around it.

Trojan asteroids (those that librate in 1:1 resonance with Jupiter) are named for heroes of the Trojan War.

The Kozai mechanism causes the argument of pericenter to librate about either 90 or 270 , which is to say that its periapse occurs when the body is farthest from the equatorial plane.