I was confused for a while by this last figure (from landscheidt.auditblogs.com) showing Ju-Ea-Ve “most aligned days” together with the solar cycle because it shouldn't matter, and it doesn't. The key is the first figure showing the quadratures. There's a acceleration configuration when Ju is in the western quadrature and at the same time Ve in eastern elongation. Then we get a 'chain reaction'. Ju pulls on Ea, Ea pulls on Ve which is accelerated forcing the Sun to accelerate because Ve, Sun/Ve-Barycenter and Sun must always line up. The deceleration configuration is the opposite. Ju in eastern quadrature and Ve in western elongation will decelerate Ve and the Sun. The important thing is that this means the Sun is not in totally free fall. It's like putting a huge rocket on Venus speeding it up and slowing it down, these motions are not caused by gravity between Sun-planet and the Sun must take the energy from it's own rotation, explaining the dynamo and the sun spots.
There are both acceleration and deceleration configurations every few years but for 11 years periods one dominates the other and the best aligned L-shapes are always around
solar minima. I have only included the 1900s but I have checked the 1800s also showing the same.
Because the Sun is revolving around the barycenter it will have to decrease it's rotation when beeing accelerated and visa versa. We should perhaps be able to detect this variation, and we are:
Figure 3. The deviation of the rotation velocity from its average value at
corresponding latitudes. The "window" for the spectral analysis was 12 years.
The regions where rotation decelerates painted dark. The velocity was averaged
over the northern and southern hemispheres.
From:
http://www.solarstation.ru/TL/PDF/tl_22.pdf
22-Year Variations of the Solar Rotation
A. G. Tlatov and V. I. Makarov
Kislovodsk solar station of the Pulkovo observatory, Kislovodsk, Russia
Pulkovo Astronomical Observatory, Saint Petersburg, Russia
Then we put in the periods of favourable configuration (from
http://math-ed.com/Resources/GIS/Geometry_In_Space/java1/Temp/TLVisPOrbit.html)
Perhaps we should also be able to find traces of the planatary conjunctions in the Sun.
The following figures are from
http://arxiv.org/PS_cache/arxiv/pdf/0711/0711.0799v1.pdf
Temporal Variations in the Sun’s Rotational Kinetic Energy
H. M. Antia, S. M. Chitre and D. O. Gough
Blue lines with conjunctions my addition