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I am curious as to why fps affects the timing of the celestial sphere.
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Think of the game somewhat as an old, pre-SMPTE movie, like a silent movie with the music sound track on paper for a human player to play. It's supposed to play at 30fps, like the old movies played at 24 fps on the Big Screen (which is a frame rate that makes wagon wheels appear to spin backwards). If you then make the "movie projector" (the computer in this case) play the movie faster, but don't cue the human player of the piano to speed up the sound track, then the film is way ahead, and the audio track lags. My guess is that the video of the game is separate from the celestial tracking. No one cued the piano player...