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Originally Posted by tusenfem
"I M / D2" as acceleration has a unit of "radians kg / m2" strange unit for an acceleration which usually is "m / s2
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Radians do not come into acceleration. The angle is only relevant to getting the component of the acceleration in the N-S direction. Strictly it is sin(I) which has no units. However for simplicity I used "I" as the angles are small. Sorry if that created confusion.
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I think it is time you show some real equations, not some handwaving arguments and made up stuff I M / D2 naturally has something to do with a gravitational force G M m / r2 but how and what about the inclination remains a mystery. If the rotation around the sun averages out, then why does the N-S motion not average out, because the motion of the planet can be split up into an ellips in the equatorial plane and an ellips in the perpendicular plane.
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To understand why the components average out to a polar direction over a full rotation I show the following diagram.
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There are several papers discussing the effects on the sun of the planets and the motion around the barycenter or COM, just take a look at de Jager and Versteegh and at Shirley.
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I am aware of Shirley. However what I am suggesting is different. It is an actual quantifiable mechanism, and it differs in effect due to the sin(I) component which does not occur in the COM case. This difference can be tested. My method can produce an r = 0.66 correlation with the observed sunpot number over many centuries. Can they achieve that?