For lunar orbits with altitudes in the range, the gravity of Earth leads to orbit
perturbations. At altitudes higher than that perturbed two-body
astrodynamics models are insufficient and
three-body models are required. Although the Moon's
Hill sphere extends to a radius of , the gravity of Earth intervenes enough to make lunar orbits unstable at a distance of . The
Lagrange points of the Earth-Moon system can provide stable orbits in the lunar vicinity, such as
halo orbits and
distant retrograde orbits. Some halo orbits remain over particular regions of the lunar surface. These can be used by lunar
relay satellites to communicate with surface stations on the
far side of the Moon. The first to do this was the 2019
Queqiao relay satellite. It was placed around Earth-Moon L2 at roughly from the Moon. Since 2022 (
CAPSTONE)
near-rectilinear halo orbits, using as well a Lagrange point, have been used and are planned to be employed by the
Lunar Gateway. ) in cislunar space, as illustrated by A.I. Solutions, Inc. using the
FreeFlyer software. ==Orbital transfer==