The Kepler 3/4 Connection

The ¾ power is founded in the laws of planetary motion

At first glance, the 3/4 power used in relating Venus to Earth and Earth to Mars may seem odd or even contrived, but it becomes clear once you understand Kepler’s 3rd Law of planetary motion, which states:

The square of a planet’s orbital period is proportional to the cube of its average distance from the Sun.

So we have:

Distance ³ = Period ²

And, if we take the one-quarter power of this we get:

Distance ¾ = Period 2/4 = Period ½ = √Period

The orbits of Venus, Earth and Mars are clearly related

So what this is really telling us is that the relationship of Venus to the Earth and the Earth to Mars is really based on the orbital period, or rather the square root of the orbital period. In other words, these three planets relate to each other like the second, minute and hour gears of a precisely calibrated clock:

So, in Solar Geometry, where the orbital distance and period of Mercury are both equal to one, we get these relationships:

Distance of the Earth = √ Period
of Venus * Phi

2.583306 = 1.596571 * 1.618034

and

Distance of Mars = √ Period
of Earth * √ Diameter of Venus

3.936458 = 2.037661 * 1.931852

The small degree of variance leaves little doubt