Spacing analysis: Don Knotts, The Shakiest Gun in the West

Another arc-tracking study. This example of shaky motion comes from "The Shakiest Gun in the West", with actor Don Knotts.
(A longer segment from this scene can be seen on youtube here)
I tracked the tip of the gun. As an instrument, it magnifies a motion that is complex primarily in rotation; the translation would be fairly smooth. Incidentally, if this were animated it would make sense to animate this with a constraint, and it would be important to locate the COG somewhere around the middle of the gun rather than his wrist.
I think a key think to notice from this is that the shaky motion is fairly random. It does hold for about 2 frames and jump in about 1 frame, so there's a slight clustering of points. But it's more "white noise" than "pure tone" vibration.