Milanovic,
Interesting and useful analysis.
Sometime what may appear to be a chaotic behaviour it is just part of an orderly longer term process, engineers often refer to it as a noise.
In the solar science circles, during the last two years, there is a raging debate about sunspot activity, and why NASA’s top people got it so wrong. Despite all the computing power and sophisticated theoretical models, they managed to get it wrong (it looks like ) by a factor of 3 (150+ instead of mere 50 or possibly less). This was not some long term prediction, but just 4-5 years ahead.
You mention 3 bodies gravity problem. In 2003, prompted by my daughters homework I wrote a simple equation, showing effect of 2 celestial bodies on the third (in this case Jupiter and Saturn on the Sun). Although it was denounced by the NASA’s top man Dr. David Hathaway (who is now unfortunately subject of a relentless mockery) it has proven surprisingly accurate. Graph compares the actual solar magnetic field daily measurements with a simple numerical calculation. It gives one of the highest correlation (R^2 = 0.9285) in the natural sciences for two (still considered unrelated) processes:
http://www.vukcevic.talktalk.net/LFC2.htm
It tells directly what the sun is doing and why, not based on gravity but on magnetism, another fundamental force, in certain respects very alike the gravity.
Why this could be of interest to the climate science?
Well, if there is a direct link between solar activity and the global climatic events, than next 10-20 years may take an unexpected turn.
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