This is a question which was asked recently on quora: Is it possible to have a moon so reflective that when it reflects the light of the sun, it will be as if it is daylight? Anyway it is a rather fun problem, easy to work out by "back of the envelope calculations", and the answer takes us to some interesting areas of planetary physics.

First it would be easy to arrange for this by mega engineering if we had a Moon as big as our Earth. Cover the near hemisphere with mirrors and angle the mirrors so that they reflect almost all the sunlight received on that hemisphere towards the Earth at midnight. Then we would get as much sunlight as midnight as we do at midday and the full Moon at midnight would be as bright as the sun.

The more interesting question is, what about natural moons not covered in mirrors like this. Could a natural Moon be as bright as the sun? How bright can it be?

So, let's see, we can work this out from the albedo of the Moon, and the intensity of moonlight...
In Astronomy"
http://www.amazon.com/gp/product/B016LS6OL8

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