## Equation of time

The equation of time is the difference between the mean sun and the actual sun in the sky. The equation of time can be used for sundials, to get a better estimate of the civil time.
This page is referred to from the TZworld page, a page with complete timezone information for all countries. On that page an example is given for correlating the equation of time to the local mean time (LMT).
The equation of time does not depend on the location on earth, but it does depend on the date and the year.

Method of calculation: the higher accuracy method was used, described in Astronomical algorithms, J. Meeus, 1st ed. 1991, Willmann-Bell. The position of the sun was calculated with the truncated VSOP87 series; the coefficients of Meeus' 2nd edition were used. The full nutation model from Meeus was used, also with coefficients from the 2nd edition. For the obliquity the model from Laskar, mentioned by Meeus, was used. Even the daily variation of the geocentric longitude of the Sun was accounted for, although it shouldn't make any difference if this is omitted. The equation of time was calculated for each day at 12 hours dynamical time, so without correction for time zone or deltaT.
The dates in the table are Gregorian calendar dates in the order month-day; the year 2008 is a leap year. Times are in minutes and seconds, sometimes negative.

These tables have by approximation a periodicity of 4 years, running along with the leap year rule of the Gregorian calendar. This means that within probably 1 or 2 seconds the table for 2008 can be used for 2012, the table for 2009 can be used for 2013, etcetera.
This idea will not hold forever though. See the table at the end.

date 2007 2008
2012
2016
2020
2009
2013
2017
2021
2010
2014
2018
2022
2011
2015
2019
2023
1-1-3m 26s-3m 18s-3m 40s-3m 32s-3m 25s
1-2-3m 54s-3m 47s-4m 8s-4m 0s-3m 53s
1-3-4m 21s-4m 15s-4m 36s-4m 28s-4m 21s
1-4-4m 49s-4m 42s-5m 3s-4m 55s-4m 49s
1-5-5m 16s-5m 10s-5m 30s-5m 22s-5m 16s
1-6-5m 42s-5m 37s-5m 56s-5m 48s-5m 42s
1-7-6m 8s-6m 3s-6m 22s-6m 14s-6m 9s
1-8-6m 34s-6m 29s-6m 47s-6m 40s-6m 34s
1-9-6m 59s-6m 54s-7m 12s-7m 5s-7m 0s
1-10-7m 24s-7m 19s-7m 36s-7m 29s-7m 24s
1-11-7m 48s-7m 43s-8m 0s-7m 53s-7m 48s
1-12-8m 11s-8m 7s-8m 23s-8m 17s-8m 12s
1-13-8m 34s-8m 30s-8m 46s-8m 40s-8m 35s
1-14-8m 57s-8m 53s-9m 7s-9m 2s-8m 57s
1-15-9m 18s-9m 14s-9m 29s-9m 23s-9m 18s
1-16-9m 39s-9m 36s-9m 49s-9m 44s-9m 39s
1-17-10m 0s-9m 56s-10m 9s-10m 4s-9m 59s
1-18-10m 19s-10m 16s-10m 28s-10m 24s-10m 19s
1-19-10m 38s-10m 35s-10m 47s-10m 42s-10m 37s
1-20-10m 56s-10m 53s-11m 4s-11m 0s-10m 55s
1-21-11m 14s-11m 10s-11m 21s-11m 17s-11m 13s
1-22-11m 30s-11m 27s-11m 38s-11m 34s-11m 29s
1-23-11m 46s-11m 43s-11m 53s-11m 49s-11m 45s
1-24-12m 1s-11m 58s-12m 8s-12m 4s-12m 0s
1-25-12m 16s-12m 12s-12m 22s-12m 18s-12m 14s
1-26-12m 29s-12m 26s-12m 35s-12m 31s-12m 27s
1-27-12m 42s-12m 39s-12m 47s-12m 44s-12m 40s
1-28-12m 54s-12m 51s-12m 59s-12m 55s-12m 52s
1-29-13m 4s-13m 2s-13m 10s-13m 6s-13m 3s
1-30-13m 15s-13m 12s-13m 19s-13m 16s-13m 13s
1-31-13m 24s-13m 22s-13m 28s-13m 25s-13m 23s

 date 2007 2008 2009 2010 2011 2-1 -13m 32s -13m 31s -13m 37s -13m 33s -13m 31s 2-2 -13m 40s -13m 39s -13m 44s -13m 41s -13m 39s 2-3 -13m 47s -13m 46s -13m 51s -13m 47s -13m 46s 2-4 -13m 53s -13m 52s -13m 56s -13m 53s -13m 52s 2-5 -13m 58s -13m 58s -14m 1s -13m 58s -13m 58s 2-6 -14m 3s -14m 3s -14m 5s -14m 3s -14m 2s 2-7 -14m 6s -14m 7s -14m 8s -14m 6s -14m 6s 2-8 -14m 9s -14m 10s -14m 11s -14m 9s -14m 9s 2-9 -14m 11s -14m 12s -14m 13s -14m 11s -14m 11s 2-10 -14m 13s -14m 14s -14m 13s -14m 12s -14m 13s 2-11 -14m 13s -14m 15s -14m 13s -14m 12s -14m 13s 2-12 -14m 13s -14m 15s -14m 13s -14m 12s -14m 13s 2-13 -14m 12s -14m 14s -14m 11s -14m 11s -14m 12s 2-14 -14m 11s -14m 13s -14m 9s -14m 9s -14m 10s 2-15 -14m 8s -14m 10s -14m 6s -14m 7s -14m 8s 2-16 -14m 5s -14m 7s -14m 3s -14m 3s -14m 4s 2-17 -14m 1s -14m 4s -13m 59s -13m 59s -14m 0s 2-18 -13m 57s -13m 59s -13m 54s -13m 55s -13m 56s 2-19 -13m 52s -13m 54s -13m 48s -13m 49s -13m 50s 2-20 -13m 46s -13m 48s -13m 42s -13m 43s -13m 44s 2-21 -13m 39s -13m 42s -13m 35s -13m 36s -13m 38s 2-22 -13m 32s -13m 34s -13m 28s -13m 29s -13m 30s 2-23 -13m 24s -13m 27s -13m 19s -13m 21s -13m 22s 2-24 -13m 16s -13m 18s -13m 11s -13m 12s -13m 14s 2-25 -13m 7s -13m 9s -13m 1s -13m 3s -13m 5s 2-26 -12m 57s -13m 0s -12m 52s -12m 53s -12m 55s 2-27 -12m 47s -12m 50s -12m 41s -12m 43s -12m 45s 2-28 -12m 36s -12m 39s -12m 30s -12m 32s -12m 34s 2-29 -12m 28s

 date 2007 2008 2009 2010 2011 3-1 -12m 25s -12m 16s -12m 19s -12m 20s -12m 23s 3-2 -12m 13s -12m 4s -12m 7s -12m 8s -12m 11s 3-3 -12m 0s -11m 51s -11m 54s -11m 56s -11m 59s 3-4 -11m 47s -11m 38s -11m 41s -11m 43s -11m 46s 3-5 -11m 34s -11m 25s -11m 28s -11m 29s -11m 33s 3-6 -11m 20s -11m 11s -11m 14s -11m 16s -11m 20s 3-7 -11m 6s -10m 57s -11m 0s -11m 1s -11m 6s 3-8 -10m 52s -10m 42s -10m 45s -10m 47s -10m 51s 3-9 -10m 37s -10m 27s -10m 30s -10m 32s -10m 37s 3-10 -10m 22s -10m 11s -10m 14s -10m 17s -10m 21s 3-11 -10m 6s -9m 56s -9m 59s -10m 1s -10m 6s 3-12 -9m 50s -9m 40s -9m 42s -9m 45s -9m 50s 3-13 -9m 34s -9m 23s -9m 26s -9m 29s -9m 34s 3-14 -9m 18s -9m 7s -9m 9s -9m 13s -9m 18s 3-15 -9m 1s -8m 50s -8m 53s -8m 56s -9m 1s 3-16 -8m 44s -8m 33s -8m 36s -8m 39s -8m 44s 3-17 -8m 27s -8m 15s -8m 18s -8m 22s -8m 27s 3-18 -8m 10s -7m 58s -8m 1s -8m 5s -8m 9s 3-19 -7m 53s -7m 40s -7m 43s -7m 47s -7m 52s 3-20 -7m 35s -7m 22s -7m 26s -7m 30s -7m 34s 3-21 -7m 17s -7m 4s -7m 8s -7m 12s -7m 16s 3-22 -6m 59s -6m 46s -6m 50s -6m 54s -6m 58s 3-23 -6m 42s -6m 28s -6m 32s -6m 36s -6m 40s 3-24 -6m 24s -6m 10s -6m 14s -6m 18s -6m 22s 3-25 -6m 5s -5m 52s -5m 56s -6m 0s -6m 4s 3-26 -5m 47s -5m 34s -5m 38s -5m 42s -5m 46s 3-27 -5m 29s -5m 15s -5m 20s -5m 23s -5m 28s 3-28 -5m 11s -4m 57s -5m 2s -5m 5s -5m 10s 3-29 -4m 53s -4m 39s -4m 44s -4m 47s -4m 52s 3-30 -4m 35s -4m 21s -4m 26s -4m 29s -4m 34s 3-31 -4m 17s -4m 3s -4m 8s -4m 11s -4m 16s

 date 2007 2008 2009 2010 2011 4-1 -3m 59s -3m 45s -3m 50s -3m 53s -3m 58s 4-2 -3m 41s -3m 28s -3m 32s -3m 35s -3m 40s 4-3 -3m 23s -3m 10s -3m 14s -3m 17s -3m 23s 4-4 -3m 5s -2m 53s -2m 57s -3m 0s -3m 5s 4-5 -2m 48s -2m 36s -2m 40s -2m 43s -2m 48s 4-6 -2m 31s -2m 19s -2m 22s -2m 25s -2m 31s 4-7 -2m 14s -2m 2s -2m 6s -2m 8s -2m 14s 4-8 -1m 57s -1m 45s -1m 49s -1m 52s -1m 57s 4-9 -1m 40s -1m 29s -1m 32s -1m 35s -1m 41s 4-10 -1m 24s -1m 13s -1m 16s -1m 19s -1m 24s 4-11 -1m 8s 0m -57s -1m 0s -1m 3s -1m 8s 4-12 0m -52s 0m -42s 0m -44s 0m -48s 0m -53s 4-13 0m -37s 0m -27s 0m -29s 0m -32s 0m -37s 4-14 0m -22s 0m -12s 0m -14s 0m -18s 0m -22s 4-15 0m -7s 0m 3s 0m 1s 0m -3s 0m -7s 4-16 0m 7s 0m 17s 0m 15s 0m 11s 0m 7s 4-17 0m 21s 0m 31s 0m 29s 0m 25s 0m 21s 4-18 0m 35s 0m 44s 0m 42s 0m 39s 0m 35s 4-19 0m 48s 0m 57s 0m 55s 0m 52s 0m 48s 4-20 1m 1s 1m 10s 1m 8s 1m 4s 1m 1s 4-21 1m 13s 1m 22s 1m 20s 1m 17s 1m 14s 4-22 1m 25s 1m 34s 1m 32s 1m 29s 1m 26s 4-23 1m 37s 1m 45s 1m 43s 1m 40s 1m 37s 4-24 1m 48s 1m 56s 1m 54s 1m 51s 1m 48s 4-25 1m 59s 2m 6s 2m 4s 2m 2s 1m 59s 4-26 2m 9s 2m 16s 2m 14s 2m 12s 2m 9s 4-27 2m 18s 2m 26s 2m 23s 2m 21s 2m 19s 4-28 2m 28s 2m 34s 2m 32s 2m 30s 2m 28s 4-29 2m 36s 2m 43s 2m 40s 2m 39s 2m 36s 4-30 2m 45s 2m 50s 2m 48s 2m 47s 2m 44s

 date 2007 2008 2009 2010 2011 5-1 2m 52s 2m 58s 2m 55s 2m 55s 2m 52s 5-2 2m 59s 3m 4s 3m 2s 3m 2s 2m 59s 5-3 3m 6s 3m 10s 3m 9s 3m 8s 3m 5s 5-4 3m 12s 3m 16s 3m 14s 3m 14s 3m 11s 5-5 3m 17s 3m 21s 3m 19s 3m 19s 3m 16s 5-6 3m 22s 3m 25s 3m 24s 3m 24s 3m 21s 5-7 3m 27s 3m 29s 3m 28s 3m 28s 3m 25s 5-8 3m 30s 3m 32s 3m 32s 3m 31s 3m 29s 5-9 3m 34s 3m 35s 3m 35s 3m 34s 3m 32s 5-10 3m 36s 3m 37s 3m 37s 3m 37s 3m 34s 5-11 3m 38s 3m 38s 3m 39s 3m 39s 3m 36s 5-12 3m 40s 3m 39s 3m 40s 3m 40s 3m 38s 5-13 3m 40s 3m 40s 3m 41s 3m 40s 3m 39s 5-14 3m 41s 3m 40s 3m 41s 3m 40s 3m 39s 5-15 3m 40s 3m 39s 3m 40s 3m 40s 3m 39s 5-16 3m 39s 3m 38s 3m 39s 3m 39s 3m 38s 5-17 3m 38s 3m 36s 3m 37s 3m 37s 3m 37s 5-18 3m 36s 3m 34s 3m 35s 3m 35s 3m 35s 5-19 3m 33s 3m 31s 3m 32s 3m 32s 3m 32s 5-20 3m 30s 3m 28s 3m 29s 3m 29s 3m 29s 5-21 3m 26s 3m 24s 3m 25s 3m 25s 3m 26s 5-22 3m 22s 3m 19s 3m 21s 3m 21s 3m 22s 5-23 3m 18s 3m 14s 3m 16s 3m 16s 3m 17s 5-24 3m 12s 3m 9s 3m 10s 3m 11s 3m 12s 5-25 3m 7s 3m 3s 3m 4s 3m 5s 3m 6s 5-26 3m 0s 2m 56s 2m 57s 2m 59s 3m 0s 5-27 2m 54s 2m 49s 2m 50s 2m 52s 2m 53s 5-28 2m 47s 2m 42s 2m 43s 2m 45s 2m 46s 5-29 2m 39s 2m 34s 2m 35s 2m 37s 2m 38s 5-30 2m 31s 2m 25s 2m 27s 2m 29s 2m 30s 5-31 2m 23s 2m 17s 2m 18s 2m 21s 2m 22s

 date 2007 2008 2009 2010 2011 6-1 2m 14s 2m 7s 2m 9s 2m 12s 2m 13s 6-2 2m 5s 1m 58s 2m 0s 2m 2s 2m 3s 6-3 1m 55s 1m 48s 1m 50s 1m 53s 1m 53s 6-4 1m 45s 1m 37s 1m 40s 1m 43s 1m 43s 6-5 1m 35s 1m 27s 1m 29s 1m 32s 1m 33s 6-6 1m 24s 1m 16s 1m 18s 1m 21s 1m 22s 6-7 1m 13s 1m 4s 1m 7s 1m 10s 1m 11s 6-8 1m 2s 0m 53s 0m 56s 0m 59s 1m 0s 6-9 0m 51s 0m 41s 0m 44s 0m 47s 0m 48s 6-10 0m 39s 0m 29s 0m 32s 0m 35s 0m 36s 6-11 0m 27s 0m 17s 0m 20s 0m 23s 0m 24s 6-12 0m 14s 0m 4s 0m 8s 0m 10s 0m 12s 6-13 0m 2s 0m -8s 0m -4s 0m -2s 0m 0s 6-14 0m -11s 0m -21s 0m -17s 0m -15s 0m -13s 6-15 0m -24s 0m -34s 0m -30s 0m -28s 0m -25s 6-16 0m -37s 0m -46s 0m -43s 0m -41s 0m -38s 6-17 0m -50s 0m -59s 0m -56s 0m -54s 0m -51s 6-18 -1m 3s -1m 12s -1m 9s -1m 7s -1m 4s 6-19 -1m 16s -1m 25s -1m 22s -1m 20s -1m 17s 6-20 -1m 29s -1m 38s -1m 35s -1m 33s -1m 30s 6-21 -1m 42s -1m 51s -1m 48s -1m 46s -1m 43s 6-22 -1m 55s -2m 4s -2m 1s -1m 59s -1m 56s 6-23 -2m 8s -2m 17s -2m 14s -2m 12s -2m 9s 6-24 -2m 21s -2m 30s -2m 27s -2m 25s -2m 22s 6-25 -2m 34s -2m 42s -2m 40s -2m 37s -2m 35s 6-26 -2m 47s -2m 55s -2m 53s -2m 50s -2m 47s 6-27 -2m 59s -3m 7s -3m 6s -3m 2s -3m 0s 6-28 -3m 12s -3m 20s -3m 18s -3m 15s -3m 12s 6-29 -3m 24s -3m 32s -3m 30s -3m 27s -3m 25s 6-30 -3m 36s -3m 44s -3m 42s -3m 39s -3m 37s

 date 2007 2008 2009 2010 2011 7-1 -3m 47s -3m 55s -3m 54s -3m 50s -3m 49s 7-2 -3m 59s -4m 7s -4m 5s -4m 2s -4m 0s 7-3 -4m 10s -4m 18s -4m 16s -4m 13s -4m 12s 7-4 -4m 21s -4m 29s -4m 27s -4m 24s -4m 23s 7-5 -4m 31s -4m 39s -4m 37s -4m 34s -4m 33s 7-6 -4m 41s -4m 49s -4m 47s -4m 44s -4m 43s 7-7 -4m 51s -4m 59s -4m 57s -4m 54s -4m 53s 7-8 -5m 1s -5m 8s -5m 6s -5m 4s -5m 3s 7-9 -5m 10s -5m 17s -5m 15s -5m 13s -5m 12s 7-10 -5m 19s -5m 26s -5m 23s -5m 22s -5m 21s 7-11 -5m 27s -5m 33s -5m 31s -5m 30s -5m 29s 7-12 -5m 35s -5m 41s -5m 39s -5m 38s -5m 37s 7-13 -5m 43s -5m 48s -5m 46s -5m 45s -5m 44s 7-14 -5m 50s -5m 54s -5m 53s -5m 52s -5m 51s 7-15 -5m 56s -6m 0s -5m 59s -5m 58s -5m 57s 7-16 -6m 2s -6m 6s -6m 5s -6m 4s -6m 3s 7-17 -6m 8s -6m 11s -6m 10s -6m 10s -6m 8s 7-18 -6m 13s -6m 15s -6m 14s -6m 14s -6m 13s 7-19 -6m 17s -6m 19s -6m 19s -6m 19s -6m 17s 7-20 -6m 21s -6m 22s -6m 22s -6m 22s -6m 21s 7-21 -6m 24s -6m 25s -6m 25s -6m 25s -6m 24s 7-22 -6m 27s -6m 27s -6m 28s -6m 28s -6m 27s 7-23 -6m 29s -6m 29s -6m 30s -6m 30s -6m 29s 7-24 -6m 31s -6m 30s -6m 31s -6m 31s -6m 30s 7-25 -6m 31s -6m 30s -6m 32s -6m 32s -6m 31s 7-26 -6m 32s -6m 30s -6m 32s -6m 32s -6m 32s 7-27 -6m 31s -6m 30s -6m 31s -6m 31s -6m 31s 7-28 -6m 31s -6m 28s -6m 30s -6m 30s -6m 31s 7-29 -6m 29s -6m 27s -6m 29s -6m 28s -6m 29s 7-30 -6m 27s -6m 24s -6m 26s -6m 26s -6m 27s 7-31 -6m 24s -6m 21s -6m 23s -6m 23s -6m 25s

 date 2007 2008 2009 2010 2011 8-1 -6m 21s -6m 18s -6m 20s -6m 20s -6m 21s 8-2 -6m 17s -6m 13s -6m 15s -6m 16s -6m 18s 8-3 -6m 12s -6m 8s -6m 10s -6m 11s -6m 13s 8-4 -6m 7s -6m 3s -6m 5s -6m 6s -6m 8s 8-5 -6m 1s -5m 57s -5m 59s -6m 0s -6m 2s 8-6 -5m 55s -5m 50s -5m 52s -5m 54s -5m 56s 8-7 -5m 48s -5m 43s -5m 45s -5m 47s -5m 49s 8-8 -5m 41s -5m 35s -5m 37s -5m 39s -5m 42s 8-9 -5m 33s -5m 26s -5m 29s -5m 31s -5m 33s 8-10 -5m 24s -5m 17s -5m 20s -5m 22s -5m 25s 8-11 -5m 15s -5m 8s -5m 10s -5m 13s -5m 15s 8-12 -5m 5s -4m 57s -5m 0s -5m 3s -5m 6s 8-13 -4m 55s -4m 47s -4m 49s -4m 53s -4m 55s 8-14 -4m 44s -4m 35s -4m 38s -4m 42s -4m 44s 8-15 -4m 33s -4m 23s -4m 27s -4m 30s -4m 32s 8-16 -4m 21s -4m 11s -4m 14s -4m 18s -4m 20s 8-17 -4m 8s -3m 58s -4m 2s -4m 6s -4m 8s 8-18 -3m 55s -3m 44s -3m 49s -3m 52s -3m 55s 8-19 -3m 42s -3m 30s -3m 35s -3m 39s -3m 41s 8-20 -3m 28s -3m 16s -3m 21s -3m 25s -3m 27s 8-21 -3m 13s -3m 1s -3m 6s -3m 10s -3m 13s 8-22 -2m 59s -2m 46s -2m 51s -2m 55s -2m 58s 8-23 -2m 43s -2m 30s -2m 35s -2m 39s -2m 42s 8-24 -2m 27s -2m 14s -2m 19s -2m 23s -2m 26s 8-25 -2m 11s -1m 57s -2m 3s -2m 7s -2m 10s 8-26 -1m 54s -1m 40s -1m 46s -1m 50s -1m 53s 8-27 -1m 37s -1m 23s -1m 29s -1m 33s -1m 36s 8-28 -1m 19s -1m 5s -1m 11s -1m 15s -1m 19s 8-29 -1m 2s 0m -47s 0m -53s 0m -57s -1m 1s 8-30 0m -43s 0m -29s 0m -35s 0m -39s 0m -43s 8-31 0m -25s 0m -10s 0m -16s 0m -20s 0m -25s

 date 2007 2008 2009 2010 2011 9-1 0m -6s 0m 9s 0m 3s 0m -1s 0m -6s 9-2 0m 13s 0m 28s 0m 22s 0m 18s 0m 13s 9-3 0m 33s 0m 47s 0m 42s 0m 37s 0m 32s 9-4 0m 52s 1m 7s 1m 1s 0m 57s 0m 52s 9-5 1m 12s 1m 27s 1m 22s 1m 17s 1m 12s 9-6 1m 32s 1m 48s 1m 42s 1m 37s 1m 32s 9-7 1m 53s 2m 8s 2m 2s 1m 57s 1m 53s 9-8 2m 13s 2m 29s 2m 23s 2m 18s 2m 13s 9-9 2m 34s 2m 50s 2m 44s 2m 39s 2m 34s 9-10 2m 55s 3m 11s 3m 5s 2m 59s 2m 55s 9-11 3m 16s 3m 32s 3m 26s 3m 20s 3m 16s 9-12 3m 37s 3m 53s 3m 47s 3m 41s 3m 37s 9-13 3m 58s 4m 14s 4m 8s 4m 3s 3m 59s 9-14 4m 19s 4m 36s 4m 30s 4m 24s 4m 20s 9-15 4m 40s 4m 57s 4m 51s 4m 45s 4m 41s 9-16 5m 2s 5m 19s 5m 12s 5m 7s 5m 3s 9-17 5m 23s 5m 40s 5m 34s 5m 28s 5m 24s 9-18 5m 45s 6m 2s 5m 55s 5m 50s 5m 46s 9-19 6m 6s 6m 23s 6m 16s 6m 11s 6m 7s 9-20 6m 27s 6m 45s 6m 38s 6m 32s 6m 29s 9-21 6m 49s 7m 6s 6m 59s 6m 54s 6m 50s 9-22 7m 10s 7m 27s 7m 20s 7m 15s 7m 11s 9-23 7m 31s 7m 48s 7m 41s 7m 36s 7m 32s 9-24 7m 52s 8m 9s 8m 2s 7m 57s 7m 53s 9-25 8m 13s 8m 30s 8m 23s 8m 18s 8m 14s 9-26 8m 34s 8m 50s 8m 43s 8m 39s 8m 35s 9-27 8m 55s 9m 10s 9m 4s 8m 59s 8m 55s 9-28 9m 15s 9m 30s 9m 24s 9m 20s 9m 15s 9-29 9m 35s 9m 50s 9m 44s 9m 40s 9m 35s 9-30 9m 55s 10m 10s 10m 4s 10m 0s 9m 55s

 date 2007 2008 2009 2010 2011 10-1 10m 15s 10m 29s 10m 23s 10m 19s 10m 14s 10-2 10m 34s 10m 48s 10m 42s 10m 38s 10m 34s 10-3 10m 53s 11m 7s 11m 1s 10m 57s 10m 53s 10-4 11m 12s 11m 25s 11m 20s 11m 16s 11m 11s 10-5 11m 30s 11m 43s 11m 38s 11m 34s 11m 29s 10-6 11m 48s 12m 1s 11m 56s 11m 51s 11m 47s 10-7 12m 5s 12m 18s 12m 13s 12m 9s 12m 5s 10-8 12m 22s 12m 35s 12m 30s 12m 26s 12m 22s 10-9 12m 39s 12m 51s 12m 47s 12m 42s 12m 39s 10-10 12m 55s 13m 7s 13m 3s 12m 58s 12m 55s 10-11 13m 11s 13m 23s 13m 18s 13m 14s 13m 11s 10-12 13m 26s 13m 38s 13m 33s 13m 29s 13m 27s 10-13 13m 41s 13m 52s 13m 48s 13m 44s 13m 41s 10-14 13m 55s 14m 6s 14m 2s 13m 58s 13m 56s 10-15 14m 9s 14m 20s 14m 15s 14m 12s 14m 10s 10-16 14m 22s 14m 32s 14m 28s 14m 25s 14m 23s 10-17 14m 35s 14m 45s 14m 40s 14m 37s 14m 36s 10-18 14m 47s 14m 56s 14m 52s 14m 49s 14m 48s 10-19 14m 58s 15m 7s 15m 3s 15m 0s 14m 59s 10-20 15m 9s 15m 18s 15m 13s 15m 11s 15m 10s 10-21 15m 19s 15m 27s 15m 23s 15m 21s 15m 20s 10-22 15m 29s 15m 36s 15m 32s 15m 31s 15m 29s 10-23 15m 38s 15m 45s 15m 41s 15m 39s 15m 38s 10-24 15m 46s 15m 52s 15m 49s 15m 47s 15m 46s 10-25 15m 53s 15m 59s 15m 56s 15m 55s 15m 54s 10-26 16m 0s 16m 5s 16m 2s 16m 1s 16m 0s 10-27 16m 6s 16m 11s 16m 8s 16m 7s 16m 6s 10-28 16m 12s 16m 15s 16m 13s 16m 12s 16m 11s 10-29 16m 16s 16m 19s 16m 17s 16m 17s 16m 16s 10-30 16m 20s 16m 22s 16m 20s 16m 20s 16m 19s 10-31 16m 23s 16m 24s 16m 23s 16m 23s 16m 22s

 date 2007 2008 2009 2010 2011 11-1 16m 25s 16m 26s 16m 25s 16m 25s 16m 24s 11-2 16m 26s 16m 27s 16m 26s 16m 26s 16m 26s 11-3 16m 27s 16m 27s 16m 26s 16m 26s 16m 26s 11-4 16m 27s 16m 26s 16m 25s 16m 26s 16m 26s 11-5 16m 26s 16m 24s 16m 24s 16m 24s 16m 25s 11-6 16m 24s 16m 21s 16m 22s 16m 22s 16m 23s 11-7 16m 21s 16m 18s 16m 19s 16m 19s 16m 20s 11-8 16m 17s 16m 14s 16m 15s 16m 15s 16m 17s 11-9 16m 13s 16m 9s 16m 10s 16m 10s 16m 12s 11-10 16m 7s 16m 3s 16m 4s 16m 5s 16m 7s 11-11 16m 1s 15m 56s 15m 58s 15m 59s 16m 1s 11-12 15m 54s 15m 49s 15m 50s 15m 51s 15m 54s 11-13 15m 46s 15m 41s 15m 42s 15m 43s 15m 47s 11-14 15m 37s 15m 31s 15m 33s 15m 34s 15m 38s 11-15 15m 28s 15m 21s 15m 23s 15m 25s 15m 29s 11-16 15m 17s 15m 10s 15m 12s 15m 14s 15m 18s 11-17 15m 6s 14m 59s 15m 0s 15m 3s 15m 7s 11-18 14m 54s 14m 46s 14m 48s 14m 51s 14m 55s 11-19 14m 41s 14m 33s 14m 34s 14m 38s 14m 42s 11-20 14m 28s 14m 18s 14m 20s 14m 24s 14m 28s 11-21 14m 13s 14m 3s 14m 5s 14m 9s 14m 14s 11-22 13m 58s 13m 47s 13m 49s 13m 54s 13m 59s 11-23 13m 42s 13m 30s 13m 33s 13m 38s 13m 42s 11-24 13m 25s 13m 13s 13m 16s 13m 21s 13m 25s 11-25 13m 8s 12m 55s 12m 58s 13m 3s 13m 8s 11-26 12m 49s 12m 36s 12m 39s 12m 44s 12m 49s 11-27 12m 30s 12m 16s 12m 19s 12m 25s 12m 30s 11-28 12m 10s 11m 55s 11m 59s 12m 5s 12m 10s 11-29 11m 50s 11m 34s 11m 38s 11m 44s 11m 49s 11-30 11m 29s 11m 12s 11m 17s 11m 23s 11m 28s

 date 2007 2008 2009 2010 2011 12-1 11m 7s 10m 50s 10m 55s 11m 1s 11m 6s 12-2 10m 44s 10m 27s 10m 32s 10m 38s 10m 43s 12-3 10m 21s 10m 3s 10m 9s 10m 15s 10m 20s 12-4 9m 57s 9m 39s 9m 45s 9m 51s 9m 56s 12-5 9m 33s 9m 14s 9m 20s 9m 26s 9m 32s 12-6 9m 8s 8m 48s 8m 55s 9m 1s 9m 7s 12-7 8m 42s 8m 23s 8m 29s 8m 35s 8m 42s 12-8 8m 16s 7m 56s 8m 3s 8m 9s 8m 16s 12-9 7m 49s 7m 29s 7m 36s 7m 42s 7m 49s 12-10 7m 22s 7m 2s 7m 9s 7m 15s 7m 23s 12-11 6m 55s 6m 35s 6m 42s 6m 48s 6m 55s 12-12 6m 27s 6m 7s 6m 14s 6m 20s 6m 28s 12-13 5m 59s 5m 39s 5m 46s 5m 52s 6m 0s 12-14 5m 30s 5m 10s 5m 17s 5m 23s 5m 31s 12-15 5m 2s 4m 41s 4m 48s 4m 55s 5m 3s 12-16 4m 33s 4m 12s 4m 19s 4m 26s 4m 34s 12-17 4m 3s 3m 43s 3m 49s 3m 56s 4m 5s 12-18 3m 34s 3m 13s 3m 20s 3m 27s 3m 35s 12-19 3m 4s 2m 44s 2m 50s 2m 58s 3m 6s 12-20 2m 35s 2m 14s 2m 20s 2m 28s 2m 36s 12-21 2m 5s 1m 44s 1m 51s 1m 58s 2m 6s 12-22 1m 35s 1m 14s 1m 21s 1m 29s 1m 36s 12-23 1m 6s 0m 44s 0m 51s 0m 59s 1m 6s 12-24 0m 36s 0m 14s 0m 21s 0m 29s 0m 36s 12-25 0m 6s 0m -15s 0m -9s 0m -1s 0m 6s 12-26 0m -24s 0m -45s 0m -38s 0m -30s 0m -23s 12-27 0m -53s -1m 15s -1m 8s -1m 0s 0m -53s 12-28 -1m 23s -1m 44s -1m 37s -1m 29s -1m 23s 12-29 -1m 52s -2m 14s -2m 6s -1m 58s -1m 52s 12-30 -2m 21s -2m 43s -2m 35s -2m 27s -2m 21s 12-31 -2m 50s -3m 11s -3m 4s -2m 56s -2m 50s

The following table demonstrates how the equation of time slowly changes in time, but still with a periodicity of 4 years, being the periodicity of the leap years in the Gregorian calendar.

 1948-1-1 -3m 14.1s 1949-1-27 -12m 51.0s 1950-4-15 0m -9.0s 1951-10-7 11m 57.0s 1952-1-1 -3m 14.7s 1953-1-27 -12m 49.9s 1954-4-15 0m -7.5s 1955-10-7 11m 58.3s 1956-1-1 -3m 14.1s 1957-1-27 -12m 49.8s 1958-4-15 0m -7.9s 1959-10-7 11m 58.2s 1960-1-1 -3m 16.2s 1961-1-27 -12m 50.2s 1962-4-15 0m -8.2s 1963-10-7 11m 59.3s 1964-1-1 -3m 14.1s 1965-1-27 -12m 48.8s 1966-4-15 0m -6.1s 1967-10-7 11m 59.0s 1968-1-1 -3m 15.8s 1969-1-27 -12m 49.7s 1970-4-15 0m -6.7s 1971-10-7 12m 1.0s 1972-1-1 -3m 15.9s 1973-1-27 -12m 49.4s 1974-4-15 0m -6.7s 1975-10-7 12m 0.0s 1976-1-1 -3m 16.0s 1977-1-27 -12m 48.7s 1978-4-15 0m -5.4s 1979-10-7 12m 1.0s 1980-1-1 -3m 16.0s 1981-1-27 -12m 48.3s 1982-4-15 0m -5.1s 1983-10-7 12m 2.1s 1984-1-1 -3m 17.0s 1985-1-27 -12m 49.0s 1986-4-15 0m -5.8s 1987-10-7 12m 2.4s 1988-1-1 -3m 16.4s 1989-1-27 -12m 47.8s 1990-4-15 0m -4.1s 1991-10-7 12m 2.1s 1992-1-1 -3m 17.3s 1993-1-27 -12m 48.5s 1994-4-15 0m -4.4s 1995-10-7 12m 3.5s 1996-1-1 -3m 18.0s 1997-1-27 -12m 47.8s 1998-4-15 0m -4.5s 1999-10-7 12m 3.9s 2000-1-1 -3m 16.9s 2001-1-27 -12m 47.2s 2002-4-15 0m -3.0s 2003-10-7 12m 3.9s 2004-1-1 -3m 17.8s 2005-1-27 -12m 47.6s 2006-4-15 0m -3.3s 2007-10-7 12m 5.3s 2008-1-1 -3m 18.4s 2009-1-27 -12m 47.3s 2010-4-15 0m -3.0s 2011-10-7 12m 5.0s 2012-1-1 -3m 18.5s 2013-1-27 -12m 46.9s 2014-4-15 0m -2.1s 2015-10-7 12m 6.0s 2016-1-1 -3m 18.4s 2017-1-27 -12m 46.5s 2018-4-15 0m -2.0s 2019-10-7 12m 6.6s 2020-1-1 -3m 19.1s 2021-1-27 -12m 46.8s 2022-4-15 0m -2.6s 2023-10-7 12m 7.0s 2024-1-1 -3m 18.7s 2025-1-27 -12m 45.8s 2026-4-15 0m -0.2s 2027-10-7 12m 6.7s 2028-1-1 -3m 20.0s 2029-1-27 -12m 47.0s 2030-4-15 0m -1.6s 2031-10-7 12m 8.8s 2032-1-1 -3m 19.9s 2033-1-27 -12m 45.3s 2034-4-15 0m -0.6s 2035-10-7 12m 8.0s 2036-1-1 -3m 19.5s 2037-1-27 -12m 45.8s 2038-4-15 0m -0.3s 2039-10-7 12m 8.7s 2040-1-1 -3m 20.4s 2041-1-27 -12m 45.2s 2042-4-15 0m 0.9s 2043-10-7 12m 9.7s 2044-1-1 -3m 20.7s 2045-1-27 -12m 46.0s 2046-4-15 0m -0.4s 2047-10-7 12m 10.3s 2048-1-1 -3m 20.9s 2049-1-27 -12m 44.2s 2050-4-15 0m 1.8s 2051-10-7 12m 9.9s 2052-1-1 -3m 21.0s 2053-1-27 -12m 45.7s 2054-4-15 0m 0.2s 2055-10-7 12m 11.2s 2056-1-1 -3m 21.6s 2057-1-27 -12m 43.6s 2058-4-15 0m 2.2s 2059-10-7 12m 11.4s 2060-1-1 -3m 21.0s 2061-1-27 -12m 44.9s 2062-4-15 0m 1.8s 2063-10-7 12m 11.8s