Update: 18/02/2013
And could this connection be the result of the fact that if you plot the rate of change of the Earth's Length of Day (LOD) [with the atmospheric component removed] against time [starting in 1962] you find that there is a ~ 6 year periodicity that is phase-locked with the 6 year period that it takes the lunar line-of-nodes aligns to re-align with the lunar line-of-apse.?
[Note that in this case the line-of-nodes and line-of-apse are just re-aligning with each other. They do not necessarily realign with the Sun]