The Solar Geometries
The distances of each planet from the Sun can be described
by a unique geometric representation, or Solar Geometry, for each pair of planets, as
shown below.
Note: Öx indicates the square
root of x.
Click on any diagram below for a more detailed explanation.
Mercury
and its Aphelion / Perihelion 
Mercury = 1
Perihelion = 2 ½ (Ö2+1) =
0.792893
Aphelion = ½ (Ö2+1) = 1.207107
Start with a circle for Mercury's mean orbital distance, and then
construct a square with sides of the same length. The midpoint
between the radius of the circle and the diagonal of the square is
Mercury's aphelion (A), the outside point of its orbit. The same
distance towards the Sun is Mercury's perihelion (P), the inside point of its orbit.
Venus = Mercury * (½ ( Ö3 + 1 )) ^{²}
= 1.866025
Venus = 1.000000 *1.866025 = 1.866025
Start with a circle for Mercury's mean orbital distance, divide the
circle into six equal sections, draw a line to form the equilateral
triangle of one section and then draw a square using lines of the same
length to get the orbital distance of Venus.
Earth = Venus ^{¾}
* ½ ( Ö5 + 1 ) = 2.583306
Earth = 1.596571 * 1.618034 = 2.583306
Start with the ¾ power of the orbital distance of
Venus, and then construct the well known "golden section" or
"Divine Proportion" to get to the mean orbital distance of
Earth.
Mars = Earth ^{¾}
* ½ ( Ö6 + Ö2 ) = 3.936458
Mars = 2.037661 * 1.931852 = 3.936458
Note: ½ ( Ö6 +
Ö2 ) = 2
* Cosine 15º = 1.931852
Also: Ö (2 * Venus) = Ö
(Diameter of Venus) =1.931852
Start with a circle using the ¾ power
of the orbital distance of Earth as its radius, divide the circle
into twelve equal sections, draw a line to form the isosceles triangle of
the section and then draw another isosceles triangle on the other side
using lines of the same length, forming a diamond, to get the orbital
distance of Mars.
Jupiter = Mars * ( Ö2 + 2 ) =
13.439908
Jupiter = 3.936458 * 3.414214 = 13.439908
Start with the orbital distance of Mars, add a square made with the
orbital distance of Mars turned on a diagonal and then add the orbital
distance of Mars again to get the orbital distance of Jupiter.
The geometries that result are beautiful and elegant, yet
simple. Did these intriguing patterns happen by coincidence . . . or by
design? Before you decide, take a look at how Earth is related to the other planets.
Brace yourself like a man; I will question you,
and you shall answer me. "Where were you when I laid the
earth's foundation? Tell me, if you understand. Who marked off
its dimensions? Surely you know! Who stretched a measuring line
across it? On what were its footings set, or who laid its
cornerstonewhile the morning stars sang together and all the
angels shouted for joy? (Job 38:37) 
