Actually, over the course of a year, the actual time difference from the earliest solar noon to the latest solar noon is about 30 minutes, 43 seconds and wobbles around +/- by some fraction of a second or so per year.
Check a nautical almanac or NREL, or see Duffie & Beckman, 2d ed., eq. 1.5.3a, or any decent solar text (Iqbal is a solid solar reference, but it's out of print) for an estimate of the time offset for solar noon as f(day of the year). For 2016, the day of earliest solar noon will occur on 11/02, with the date of latest solar noon occurring on 02/10. Note they are not 183 days apart. The actual civil (clock) times of local solar noon are f(longitude, time zone, daylight saving time). For my location, those times are 11:31:54 P.S.T. (11/02) and 12:02:37 (02/10) P.S.T. The Nov. time will most likely be under standard time unless 1st Sunday in November happens to be 11/01. In that case, solar noon will be at 12:31:54 P.D.T.
Check a nautical almanac or NREL, or see Duffie & Beckman, 2d ed., eq. 1.5.3a, or any decent solar text (Iqbal is a solid solar reference, but it's out of print) for an estimate of the time offset for solar noon as f(day of the year). For 2016, the day of earliest solar noon will occur on 11/02, with the date of latest solar noon occurring on 02/10. Note they are not 183 days apart. The actual civil (clock) times of local solar noon are f(longitude, time zone, daylight saving time). For my location, those times are 11:31:54 P.S.T. (11/02) and 12:02:37 (02/10) P.S.T. The Nov. time will most likely be under standard time unless 1st Sunday in November happens to be 11/01. In that case, solar noon will be at 12:31:54 P.D.T.
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