Crantor currently moves inside Uranus's co-orbital region on a complex, temporary horseshoe orbit.

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

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

Objects in horseshoe orbits are known to sometimes periodically transfer to a relatively short-lived quasi-satellite orbit, and are sometimes confused with them.

However, none of these follow horseshoe orbits.

Instead, it follows a so-called horseshoe orbit along the path of the Earth.

Research paper describing horseshoe orbits.

It follows a short-lived horseshoe orbit around Neptune.

Before 1996, the asteroid had been on a so-called horseshoe orbit around the Sun, along the Earth's orbit.

Recent calculations indicate that it follows a horseshoe orbit with respect to the Earth.