This stuff is extensively studied in John Martineau’s Little Book of Coincidence.
The below tables provide an algebraic treatment of the more “interesting stuff”. The first table considers the Earth-Moon system; for clarity, “7!” is known as “seven factorial” and equals 7 times 6 times 5 times 4 times 3 times 2 times 1. F and f are the Golden Mean.
The Golden Mean can be determined via geometry by taking a square with all sides equal to 1, drawing an arc with the center of radius at the midpoint of one side and through the corner of an opposite side, and extending the original side to where it intersects the arc. The length of the extension will then exactly equal f [and the base’s total length being F.]
F = 1.61803 39887 49894 84820 45868 34365 63811 77203 09180...
f = 0.61803 39887 49894 84820 45868 34365 63811 77203 09180...
The Golden Mean is the only number in which, among other things, satisfies the mathematical relationships:
F = 1/F + 1 ; f = 1/f - 1
f can also be represented by the very strange equation:
f = 1 + 1/{1 + 1/[1 + 1/(1 + 1/{1 + 1/[1 + 1/(1 + ...)]})]}
1x2x3 61x2x3x4 24 Hours in an Earth Day
1x2x3x4x5 120 See Genesis 6:3*
3x120 or 720/2 360 Degrees in a circle
1x2x3x4x5x6 720
360+720 (or 3x360) 1080 Radius of Moon (miles)
3x720 2160 Diameter of Moon (miles)
2160 25,920/12 Number of years for revolution of the precession of the Earth’s axis is 12x Moon diameter
11x360 or 720+1080+2160 Radius of Earth (miles)
Radius/diameters of Earth and Moon have an exact 11/3 ratio
Radius/diameters of Earth and Mercury, as well as their orbits, have a 2.618/1 ratio, or Earth's radius = (1 + F) x Mercury's radius
1x2x3x4x5x6x7 5040 3960 + 1080
7x8x9x10 5040 Earth radius plus Moon radius (miles)
10! / 6! 5040
8x9x10x11 7920 Diameter of Earth (miles)
11! / 7! 7920
2160 + 7920 10,080 Earth plus Moon diameters (miles)
9x10x11x12 11,880 Earth radius + diameter (miles)
10,080 +1800 11,880
12! / 8! 11,880
10x11x12x13 17,160
17,160 - 11,880 5,280 Feet in a mile
11x12x13x14 24,024
10x11x12x13x14 240,240 Approximate Earth-Moon distance (varies 221,460 to 252,700)
12! 479,001,600 Approximate Sun-Jupiter distance (varies 459,800,000 to 506,800,000)
* Genesis 6:3 “My Spirit will not contend with man forever, for he is indeed mortal and their days of life will be 120 years."
The units employed in the above are based on the English system of measurements. This is noteworthy, in that the more mainstream tendency to use the metric system will result in many of the interesting features being missed!
The fact that 1/12th of 25,920 years equals 2160 years, while the Moon’s diameter is 2160 miles, is nothing short of, well... amazing! Furthermore, the idea that the size of the Moon is related to the Earth’s precession of the axes is simply not obvious from any so-called “laws” of mainstream physics.
Planet Years (with Earth’s as 1)
Mercury Venus Earth Mars Error
0.2409 years + 0.6152 years + 1.0000 years = 1.8561 years @ 1.8808 years 1.31%
Earth Mars Jupiter Saturn
2 x [ 1.0000 year + 1.8808 year + 11.862 year ] = 29.4856 year @ 29.457 year 0.10%
Mercury Venus Earth Mars Saturn Chiron Uranus
0.2409 + 0.6152 + 1.0000 + 1.8808 + 29.457 + 50.682 = 83.8759 @ 84.014 years 0.16%
Ceres Saturn Chiron Uranus
4.6000 + 29.457 years + 50.682 years = 84.7390 years @ 84.014 years 0.86%
Saturn Chiron Uranus Neptune
29.457 years + 50.682 years + 84.014 years = 164.153 years @ 164.79 years 0.39%
Uranus Neptune Pluto
84.014 years + 164.79 years = 248.804 years @ 248.2498 years 0.22%
Ceres Athena Juno Vesta Jupiter Saturn
4.60 y + 4.61 y + 4.36 y+ 3.63 y + 11.86 y = 29.062 y @ 29.457 year 1.34%
Saturn takes the same number of years to go around the Sun as there are days between full (Earth) Moons (to 99.8% accuracy). Saturn’s mean orbital distance and physical size are both approximately 4F +3 times that of Earth. The radius of Saturn’s orbit equals the circumference of Mars’ orbit, while the diameter of Neptune’s orbit equals the circumference of Saturn’s orbit.
Orbital Radii
Venus times Uranus = 1.204 Mercury times Neptune
Mercury times Neptune = 1.208 Earth times Saturn
Earth times Saturn = 1.206 Mars times Jupiter
Venus times Mars - 2.872 Mercury times Earth
Saturn times Neptune = 2.976 Jupiter times Uranus
Venus x Mars x Jupiter x Uranus = Mercury x Earth x Saturn x Neptune
It becomes clear that all of these geometries are connected in some manner, many through pi or the Golden Mean. The book goes into far more details including creating geometric shapes from the orbital patterns!
7thdirection
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