) in the horizontal axis and
orbital inclination in the vertical axis. The semi-major axis values are expressed as a fraction of the planet's
Hill sphere's radius, while the inclination is expressed in
degrees from the
ecliptic. The relative sizes of moons are indicated by the size of their symbols, and the Caliban group of Uranian moons is labeled. Data as of February 2024. S/2023 U 1 is an
irregular moon of Uranus, since it has a distant and highly
elliptical and
inclined orbit. Irregular moons are loosely bound by Uranus's gravity because of their great distance from the planet, so their orbits are frequently
perturbed by the gravity of the Sun and other planets. This results in significant changes in the orbits of irregular moons over short periods of time, so a simple
Keplerian elliptical orbit cannot accurately describe the long-term orbital motions of irregular moons. Instead,
proper or mean orbital elements are used to describe the long-term orbits of irregular moons more accurately, since these are calculated by averaging out the perturbed orbit over a long period of time. Over an 800-year time span from 1600 to 2400, S/2023 U 1's average
semi-major axis or orbital distance from Uranus is , with an average
orbital period of . S/2023 U 1 has an average
orbital eccentricity of 0.25 and an average
inclination of 144° with respect to the
ecliptic, or the plane of Earth's orbit. Since S/2023 U 1's orbital inclination is greater than 90°, the moon has a
retrograde orbit, meaning it orbits in the opposite direction of Uranus' orbit around the Sun. Due to perturbations, S/2023 U 1's orbital elements fluctuate over time: its semi-major axis can range from , eccentricity from 0.14 to 0.29, and inclination from 141° to 144°. S/2023 U 1's orbit exhibits
nodal precession with an average period of about 5,000 Earth years and
apsidal precession with an average period of about 5,100 Earth years. S/2023 U 1 is part of the Caliban group, a cluster of retrograde irregular moons of Uranus that includes
Stephano and the group's namesake
Caliban. The moons of the Caliban group have orbital elements that are clustered with semi-major axes between , eccentricities between 0.16 and 0.23, and inclinations between 141° and 144°. Like all other irregular moon groups, the Caliban group is thought to have formed from the destruction of a larger captured moon of Uranus due to asteroid and comet
impacts, which left many fragments in similar orbits around Uranus. == Physical characteristics ==