The ecliptic

To construct the final part of the Sun architecture, the analysis of the gallery needs to be looked at for the final time. If you zoom in to the gallery area the overlaid drawing shows the two calculations that were made using the gallery's mathematics, shown in white text. The first was to place the ascending passage angle into the groove and calculate down to the floor, and the second was to start with the floor angle at the north end of the gallery and calculate up to the checking roof angle.

When you consider this system there is obviously one more calculation that can also be performed, and that is to calculate from the groove angle up to the roof and which is shown on the drawing in yellow text. This is the final part of the gallery calculations and gives the constructed angle of the gallery roof.

With this final calculation it is possible to go back to the Sun construction system and, instead of using the roof checking angle to construct the upper Sun line, the actual angle of the gallery roof can be used. This construction can be seen by zooming out to show the lower area of the building.

The Sun line is highlighted in green as is the roof line of the gallery and to understand what you are looking at click here to overlay an explanatory drawing.

The original ascending passage line is placed in the groove, which is shown as a grey line, and this is a construction line that places a nominal Sun 200 cubits down the gallery. The line coming from this nominal Sun that is constructed at a 1 radian angle to the vertical is the Sun's equator, and the gallery groove adjusted roof line is the Ecliptic. The angle between the Ecliptic and the Sun's equator is 7.060543° as you can see by comparing the angles of the two highlighted lines which are shown in the object information panel.

Dating the pyramid

What is fascinating about this construction is that the angle of the Ecliptic to the Sun's equator of 7.060543° is astronomically correct, and because the Ecliptic's angle to the Sun's equator varies over time, it is possible to date the astronomy that is being displayed in the Great Pyramid's architecture. To do so, the varying value of the angle of the Ecliptic needs to be taken from the best source possible, and that is the NASA DE431 ephemeris computer system which documents state of the art calculations for the dynamic properties of the solar system going back in time as far as 4000 BCE.

If you display a graph of the angle of the Ecliptic in relation to the Sun's equator taken from the data of the NASA system you can see how the angle varies over time. The value of 7.060543° is marked off on this graph and the date which corresponds to this angle is 2600 BCE which is within a 11 years of the dates that historians have estimated the building's Pharaoh "Khufu" to have reigned in Egypt, 2589 - 2566 BCE.