Could a framework of mirrors static in space above the Lunar south pole illuminate a moonbase there continuously?

When near the south pole of our Moon a permanent human community is established to search for and produce water in the permanently shadowed regions there, it would be nice to have some light from above !

Would it be possible to instal a framework of mirrors in space above such a human settlement so there would not have to be worked in constant darkness ?

Within the framework the mirrors could turn independent from each other and could function as solar sails as well to withstand the gravity of the Moon.

Of course, software would be needed to anticipate the constantly changing position of the framework by changing the angle of the different mirrors independently.

• Theoretically, you could have a moon rotation synchronous satellite that reflects sunlight onto the moon's surface. Of course, mirrors can't reflect more light that they receive, so the total mirror surface area would have to be at least 10% as large as the village, probably more.
– user7073
Nov 26, 2019 at 15:43
• So... you're proposing an object that floats above the surface, in a completely impossible orbit; or am I missing something here? If it's not in orbit, and it's "static" then it needs propulsion to counteract the moons gravity. You cannot have an orbit that "stays above the pole" 100% of the time. The whole statement "static in space" doesn't really make sense. Nov 26, 2019 at 16:32
• Can you actually position a statite over the moon, though? Nov 26, 2019 at 16:48
• @starfishPrime Not over a pole while reflecting light to a specific position and maintaining attitude to counter-act gravity... Maybe the question should've been, "is a statite over the moon possible? What about over the poles?". I feel like that would've been more answerable than this is in its current state. This adds a bunch of extra layers of complexity to an already complex problem. Nov 26, 2019 at 16:48
• Software wouldn't help the problem. You cannot get the delta-v you need, in the direction you need to counter-act gravity AND reflect the light back to a specific location on the surface in quantities that are needed for illumination at the poles. Especially seeing as this sail would need to be absolutely massive. Nov 26, 2019 at 17:05

The answer is no, you cannot have a static satellite. It would require high delta-V continually thrusting the mirror upwards. Solar sails do not have high delta-V. But that is okay - if all you want is polar moonbase illumination, that problem is already solved:

• Solution 1 -

Have a network of satellites with mirrors, and use them in turn as they pass near the poles - software could do this fairly easily.

• Solution 2 -

Build mirrors on polar mountains - there are some that are continually in sunlight. This solves the entire problem at much lower cost, no fiddly orbits to worry about, and you could climb up and fix issues if there are problems.

• Solution 3 -