You happen to know the most common way to cool a satellite is by using radiators to scatter heat away. You explain to the Moon your plan for temperature control and soon the two of you are collecting subatomic particles and scattering them into space. This works great, and, for a while, you're cooler than an icecream bar in sunglasses, but unfortunately you soon run out of subatomic particles. No worries though, as you start radiating parts of the satellite, and later parts of yourself and the Moon that are not super critical. And so you two party out into the infinitude of space, spreading your grooving atoms across the cosmos, and over time you become the grooviest parts of countless galaxies.