Hello, Below are some data that may help you, the calculation date is Jan 1 Noon UT, EoT values are in the form TA-TM. The value of the EoT corresponds to a date/time i.e., a calendar and since there is not a whole number of days in our orbital period I think you can see how the EoT becomes unsynced. I'm not sure I fully understand your question of averages, but try looking at the average of the EoT deltas for each four year period and compare it to each of yearly values within the cycle. Hope this helps...
Regards, Luke Coletti Column 1: day of year, Column 2: year, Column 3: days in year Column 4: days from J2000, Column 5: Solar Day Length, secs Column 6: EoT, secs, Column 7: EoT delta, secs 1 2000 366 +0.0 -28.5750 -198.0059 +0.000000 1 2001 365 +366.0 -28.3493 -219.3062 -21.300274 1 2002 365 +731.0 -28.4230 -212.3139 -14.307972 1 2003 365 +1096.0 -28.4950 -205.3031 -7.297152 1 2004 366 +1461.0 -28.5650 -198.2742 -0.268264 1 2005 365 +1827.0 -28.3388 -219.5665 -21.560536 1 2006 365 +2192.0 -28.4127 -212.5768 -14.570837 1 2007 365 +2557.0 -28.4848 -205.5685 -7.562580 1 2008 366 +2922.0 -28.5551 -198.5422 -0.536216 1 2009 365 +3288.0 -28.3283 -219.8264 -21.820466 1 2010 365 +3653.0 -28.4024 -212.8393 -14.833377 1 2011 365 +4018.0 -28.4747 -205.8336 -7.827690 1 2012 366 +4383.0 -28.5451 -198.8098 -0.803855 1 2013 365 +4749.0 -28.3177 -220.0860 -22.080063 1 2014 365 +5114.0 -28.3920 -213.1015 -15.095591 1 2015 365 +5479.0 -28.4645 -206.0984 -8.092480 1 2016 366 +5844.0 -28.5350 -199.0771 -1.071182 1 2017 365 +6210.0 -28.3072 -220.3453 -22.339328 1 2018 365 +6575.0 -28.3816 -213.3634 -15.357478 1 2019 365 +6940.0 -28.4542 -206.3629 -8.356951 1 2020 366 +7305.0 -28.5250 -199.3441 -1.338196