OK, having followed the thread and looked at the graphs, there are a few things that come to mind:

1) there is no obvious direct connection between the Z-axis position of the SSB and sunspots, or with the differences taken to 3 levels (velocity, acceleration, and delta-acceleration).

2) we can rule out a direct link between SSB and sunspots.

3) the SSB cycles and sunspot cycle are similar timewise but have a phase shift.

4) we cannot at this stage rule out a less direct link if as Ray says the sunspots are internally driven by solar dynamic oscillations of unknown origin while torque impulses from the SSB only influence solar dynamics at times - and perhaps only when a threshold is exceeded - to rule this in or out would require a far more sophisticated analysis and perhaps hundreds of years more sunspot observations.

5) I have no idea how to implement Ray's 'displacement' in a spreadsheet or simple program - I have never studied calculus, but am quite capable of implementing quite sophisticated equations at a practical level if I understand the formulae and what they actually do, which can be learned quite easily from examining implementations of them and playing in a spreadsheet - perhaps some clues might help?

BTW, I am an old dog now, and have neither the time nor the inclination to take on any advanced maths or physics classes, and I am not likely to be writing any scientific papers in the near future - I will leave that to those with the necessary education and skills - but I will continue to potter around the edges poking at things and examining them to see what makes them tick

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Carl Smith
The land of Oz