"All time difference table" origin and working principle?

The time difference table shows the difference between a "real" sun (belonging to nature) and an "average" sun (belonging to a human being). This rare and poetic complex is often integrated with other astronomical indications. The Earth runs around the sun in an elliptical orbit with its axis perpendicular to the equatorial plane. For a couple of reasons, a "true" solar day (the interval between the two "real" noon of the sky at its highest point) will never be the same length of a year. It's just four days in just four days: April 15, June 14, September 1 and December 24. In a constant cycle, other days either longer or shorter. The difference ranges from less than 16 minutes and 23 seconds on November 4 to more than 14 minutes and 22 seconds on February 11, and is called "average time difference." Watchmakers are always racing to find original ways to represent these celestial robots. These changes are identical on the same date, so "planning" can be done with only one full turn of cams a year. The ultimate in sophistication first appeared on the floor clock, which was then microfilm-mounted into a pocket watch and used in watches after the 20th century. Slightly different time lag seen individually is the "classic" feature of any superbly sophisticated watch. There are different ways to show average time difference. Most watches prefer a secondary dial with a pointer over or a curved area with a scale of 16 to +14 minutes. This requires the wearer to make some calculations, by adding and subtracting the real time from the average time. Ease of use and manufacturing of the more complex "équation marchante" uses two coaxial minute hands, one showing the average sun and the other with a glimpse of the real sun. For many years, this complex system was only available on pocket watches, and only recently was the first watch with "run-time" to be released. When it comes to innovation, watchmakers have been able to further improve accuracy by designing systems that read average time differences over a specific longitude rather than the entire time zone.

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