While it would be cool for it to appear the size of the moon, it is not necessary with a shaped mirror.
You can keep the same size in a higher orbit, maybe even geosynchronous, then sync the rotation of the mirror to keep it pointing in the same spot on earth.
Granted a shaped mirror that size would be much harder to put into orbit than a flat mirror.
The 9km mirror I’m referencing is for a sunlight level of illumination; the moonlight mirror needs only be 14m in diameter (or 500m for geostationary orbit).
While it would be cool for it to appear the size of the moon, it is not necessary with a shaped mirror.
You can keep the same size in a higher orbit, maybe even geosynchronous, then sync the rotation of the mirror to keep it pointing in the same spot on earth.
Granted a shaped mirror that size would be much harder to put into orbit than a flat mirror.
The 9km mirror I’m referencing is for a sunlight level of illumination; the moonlight mirror needs only be 14m in diameter (or 500m for geostationary orbit).