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Gearing the secondary ellipse

The interactive drawing shows the result of gearing the secondary ellipse to half the rotation frequency of the principal ellipse. You can see that the major axis of the principal ellipse (the equator line) is fluctuating at twice the frequency of that of the secondary ellipse and that the rotation of the secondary ellipse is restricted to positive angles.

If you zoom in on the gallery area where the key is being projected onto the gallery benches you can see the problem with the projection has been resolved and that it is now only plotting between the Aphelion and Perihelion points that fall in line with the gallery's measuring holes.

The geometric system has been resolved, but there is one last problem to overcome which is related to the astronomy.

Acceleration of the Earth

When the Earth is approaching the closest point in its orbit around the Sun, Perihelion, its velocity relative to the Sun and its acceleration are at their maximum value, and when the Earth is at its furthest point from the Sun in its orbit, Aphelion, these values are at their minimum. Therefore, for the dynamic geometry in the pyramid to be correct the projection point needs to be moving at its quickest on the right side of the plot and at its slowest on the left side of the plot, and you can see that the opposite is the case on the screen at present.

In order to resolve this problem the geometric system that has just been determined needs to be reversed.

To do that, the calibration from the previous section needs to be applied to the system, the correction to the surveying of the internal architecture needs to be displayed again on the revised CAD drawing, and one further adjustment to the overall geometry system needs to be identified.

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Last edited: 16th July 2019