February 15, 2020 02:28PM
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Registered: 14 years ago
Posts: 1,243
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There are at least three sources or error which might explain the differences.
Firstly modern survey error. Smyth, Petrie and Cole were little different from each, but there are so few pyramids where we can rely on the data as qualified by other surveyors. So much effort was put into surveys of the Great Pyramid.
(Its not easy to survey ruins. Petrie thought it would be very difficult to survey the Red Pyramid, and his preliminary work was mostly a waste of time because a delay in getting a permit left to little time, as just read today.)
Secondly ancient observation error. My suggestion of 5 arc minutes is what I thought my be possible (having read that somewhere). Half the sun on the horizon is 16 arc minutes, so perhaps the pillar slit method might give observations accurate to 2 arc minutes.
Thirdly ancient build error. The east and west sides are off quite different from parallel by several arc minutes even by the same surveyor.
We should expect some compensation of errors although errors are potentially cumulative each star and pyramid correlation.
The series you propose means we don't need such a precise fit because ancient errors might have been much larger, so I think within 15 arc minutes is reasonable because you are applying corrections from potentially quite large differences. Perhaps a greater difference would be reasonable for the other stars /pyramids highlighted.
The selection of different stars so that different stars fit different lines isn't a problem as there isn't a scatter between the lines.
I have taken your graphs at face value without checking to a star program. Everything looks a little too perfect as if made up, but if you know its not made up then 10 arc minutes for one star / pyramid is of little concern.
I have read that the sun is really below the horizon when it appears to be above the horizon due to the diffraction of light. I suppose diffraction has little effect on the apparent positions of stars with respect to the polar pointing of the axis of Earth at 30 degrees above the horizon for maximum elongation east or west, but I don't know.
Mark
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