I uploaded a slightly longer version of the “Fly Me To the Moon” song to ACIDplanet.com. It isn’t much of a soundtrack since there is only one song. I created this version first but it was too long for the animation. The shorter version in the video was an edited remix of this one.
Note that with the demise of ACIDplanet.com, this is currently hosted on Audio.com. I uploaded both versions into a collection to make it easier to listen to.