The figure shows the
mathematics compared to the real orbits raised to the appropriate exponents.
The y and x axes values can be converted to orbital period (in Years) by raising to
(2p/3) or p, respectively.
Use of Period in place of distance would not change the graphs or the results.
The calculated deviations are very small. They are all less than the thickness of the dotted lines on the
screen, with the exception of Saturn.
The deviation on Saturn is
well within the planet's orbital eccentricity, and is shown in red.
This is a real drawing of the real Solar System, it is not
make-believe. The Solar System really is in very close accord with the
mathematical equations detailed in the main text. (The calculated percent deviations are listed below.)