I think if you can get some streamers to play this, there's a lot of laughs and exhilarating moments to be had. My "waltz" was a pure comedic farce as my planets ballooned and shrunk up in fevered panics.
I think you have some kind of collision or raycasting problem with your mouse detection. There were some clutch moments when I'm quite sure I clicked on a planet correctly, but it did not register. Worth looking into.
Very enjoyable entry. Nice work.