I realise this is a pretty out-there hypothetical situation, but maybe some of you guys are better at extrapolating that me :) I have a lot of related questions, so any answers or ideas are welcome. I've googled "moon" with "atmosphere", "temperature" and "terraform", any obvious terms I've forgotten are welcome too!
So: what would it be like on this moon? There'd be an incredibly strong wind sucking air from the planets onto the moon, and as a result it would get very dusty, but how dusty? Worse than a desert? How quickly would the air spread? Would the area near the wormholes remain windy but breathable with more even temperatures? If a whole bunch of wormholes opened up all over the place would the wind "cancel out" or just get really turbulent? I know that currently the moon is very hot during the day and very cold at night, presumably as the atmosphere thickened this would even out pretty quickly? Would it not be so extreme if the days were shorter than the moon's 28 earth days? What about rain?
So, yes, any thoughts would be great. I've actually committed to a highly inaccurate interpretation (I forgot the hot during the day thing for a start) by putting some comics online, but I can always go back and change them :)
EDIT: Yes, I am aware our moon lacks an atmosphere due to being too light to sustain one, but as has been pointed out it this is a long term thing, it could still hold onto one for a very long time. Also the moon I'm dealing with is quite a bit heavier than ours, more like mars.