I wonder why they stopped exploring the moon in the 60s of the last century? Maybe there is something found? How many years have passed, but the information is still kept in strict confidence.
All the info is public, massive amounts of it.
Lunar orbits were believed all unstable due to uneven gravity issues, but four stable lunar orbits were located that sort of weave a path between these concentrated areas of mass.
Therefore an orbiting satellite is possible. Whether it's practical to man it is another issue. Certainly an interesting idea.