Not to burst your bubble, but you're not going to get a robot into orbit, let alone the moon. There is a reason why space is expensive - it's difficult to get there.
Yup, good idea, I should just give up without even attempting to identify all the problems.
I'm amazed at how, even in a forum based on exploration such as this one people still have this much negative reaction.
Now I want to do it even more just to prove you wrong.

I have a simple question regarding your reasoning about cooling.
You say that cooling the micro-controller would be a major issue, because there is "no air to take the heat away so much of it just stays in the object which heats up". So why then attaching anything to the object (heat sink) would change the situation at all? Any why, in the case of fluid cooling, the fluid would freeze, but the micro-controller would just build up heat?
The heat sink would have a larger area to radiate from. Since there's no convection to cool things radiation and conduction is the only way of removing heat (unless laser cooling becomes feasible). The heat is conducted into the heatsink which would be attached to the body of the spacecraft which would be many times the surface area of the chip.
The liquid would freeze unless I could pump as much heat into it as it loses. Since it would essentially be performing the task of the heat sink, moving the heat from the heat production to the body of the spacecraft it would be losing as much heat as the heatsink would, except it would need to remain liquid (otherwise it wouldn't have convection and heat would build up locally). The issue would be that obviously I couldn't use water as it would short everything out, I'd have to use some kind of non-conductive oil or something which would get very viscous at low temperatures and stop doing its job.
And if he has a spare 40 thousand dollars or so he can launch with cubesat, into a tumbling low earth orbit. This isn't the moon. The moon would cost hundreds of millions to reach, and anything that goes there will NOT be offering piggyback rides.
Like I said, this is the pre-pre-pre-pre-planning stage. I'm not concerned, for the moment, with how I'm going to get there. That's the pre-pre-planning stage.
It's just not achievable by private enthusiasts, certainly ones who ask about the basics here. Lofty goals are admirable, but we shouldn't sit here and investigate the possibility of sending a lander to the moon using an arduino, because it isn't possible.
That's fine, but I want to know why isn't it possible? Also, how are you categorizing "
private enthusiasts"?
Ham radio people have been putting amateur satellites in space for several decades. Check this out, I am sure there is a lot info http://www.amsat.org/
Good to know. I knew it could be done, and probably had been. I watched the Top Gear team's fantastic failure of trying to put a reliant robin into space. I knew that was rather far fetched, but had the release mechanisms worked it might have actually made it.
What it sounds like is that getting it into LEO would be relatively simple. Getting it from LEO to lunar orbit would not be. I know electromagnetic tethers have been explored as a means of getting to HEO or GEO. At what point does this become unfeasible? Would solar sails work, or would they only work for interplanetary travel?
The idea is to take something that, on the surface, seems impossible and an insane or silly proposition and figure out what it would take to make it possible. This is how exploration works. Some guy says "I'm going to sail around the world" when most people are saying "You're a fool, you'll fall off the edge!"
Our technology is 40 years more advanced than the last time humans sent things to the surface of the moon (crashing into it doesn't count). It once took months and a lot of money to get from England to New York. I can make the same trip in a few hours for much less money and still have time to shop before returning. This is because our technology has advanced. My phone probably has more processing power than all of the largest computers in the world 60 years ago, combined. At some point it will be simple for high schooler's to have a lunar rover as their science fair project.
I just about have the skills to do it now, if not the funding. If money is the only thing holding me back I consider that a minor point...