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Old April 23rd 18, 09:12 PM posted to sci.astro.amateur
Gerald Kelleher
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Default Averaging and the Equation of Time

https://www.youtube.com/watch?v=LPoj2lCNWbs

I get a kick out of that playful use of the noon event because it always happens at the exact time an observer is midway to the circle of illumination as a function of both their daily rotation (constant) and the slow rotation as a function of orbital motion (variable). The length of time changes (by the firing of the miniature canon) with each noon event so it has nothing to do with the seasonal changes in the length of the shadow (declination) but strictly a combination of two rotations that cause the time difference with each cycle.

Don't mind that other threads descend into anarchy since this is where genuine astronomy and timekeeping innovations live.