A stable polar orbit is easier to get to and return from the moon.
A stable polar orbit is easier to get to and return from the moon.
If we wanted to build something similar in space it's essentially a 5x larger James Webb Space Telescope which is having some trouble last I heard with it's folding mechanism so building one 5 times larger to fit into a faring is a big task.
I guess the big problem for that right now is that for humans to do the building, it'd have to be in low orbit, a less-than-ideal environment for a long-lived scientific instrument. (Just kibbitzing, am not a rocket scientist.)
It does need to support it's own mass through during maneuvering and pointing operations as well so it can't be completely flimsy. Also you'd want to get further from the earth to avoid all that drag from a huge mirror in LEO.
[0] Beyond periodic small orbit boosting burns
Another problem: a very large mirror is a significant target for micrometeoroids. It'd need to be made able to keep going after losing little patches.
I was fantasizing some form of active control, without the speed demand of in-atmosphere adaptive optics. This might be needed anyway after micrometeoroid damage.
Other issues with space based telescopes:
They need fuel + thrusters to go where you want them to be (or just to maintain their orbit!)
Heat dissipation is a big problem. Being able to use the whole moon as a thermal flywheel could help out a lot. In space you can use things like cryocoolers to regulate temps, but they cause vibrations which can be problematic if you need your telescope to remain steady. If this requires refrigeration, you can put the vibrating parts far enough away from the telescope that they don't move it. Putting the thing in a crater probably helps regulate temps too (less direct sun)
Humanity in general is better at building and maintaining things on solid ground. If you drop a bolt on the moon, you lean over and pick it up. If you drop a bolt in orbit, you have to worry about it damaging your spacecraft at the next conjunction.