If the earth did not rotate with respect to the stars, each day would be a year long. The rotation of the earth adds (or subtracts, I’m too lazy now to figure out which) lots more days. The siderial day (the time of one rotation wrt the stars) is a few minutes different from the solar day (the time of one rotation wrt to the sun).

The second point is that the speed of that year-long day varies over the year. The earth’s orbit is elliptical, so its distance to the sun varies which means its speed varies (Kepler’s law: the earth sweeps equal areas in equal times). The variance between the earth’s actual orbital angular velocity and its average orbital angular velocity accounts for the variations you cite.

These are not two standards of time measurement, but rather two different things you can measure with time. The time zones have nothing to do with it except to determine the 3 days the sun is at the zenith at noon. (and in fact, if you measure accurately, the probability that the sun will ever be at the zenith exactly at noon at any given spot on earth is zero; usually it will happen just before noon on one day and just after noon on the next, or vice-versa).

--Barry


On 9 Dec 2018, at 19:35, Russell Standish wrote:

Being a late riser, and a darkness hater, I regard December 7 (the day after
St. Nicholas’s Day, by the way) as the first sign of spring, because it is the day that the afternoons start getting longer. The shortest morning, by the way, appears to occur on January 7, One of 3 days in the year when the sun is at the Zenith at noon. In other words, noon is moving away from sunset faster that the setting sun is moving toward the horizon so the sun starts arriving later on the clock. Or something like that. The way I put it implies two standards of time measurement and I cannot think what the second one is.

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