Why Phi? Simplified: A brief Fibonacci tour of the Solar System

A couple of years ago I made my original discovery that all the planets of the solar system are connected by golden section or phi relationships between their orbits, spin rates, conjunction periods and conjunction cycle precession periods and expressed in the Fibonacci series. I’ve been searching for a way to present the findings in a simple, clear way that anyone can easily understand. Last week, during a sleepless night of back pain, I hit on a nice solution.

All the commensurabilities in the following layout are pretty accurate for a first cut overview of the system except one. Mercury’s spin rate of 55 in eight years is really nearer 52, but considering there’s a tidal locking with the Sun and Venus involved, it’s remarkable that it fits into the ‘mainline sequence’ at all. Mars is a special case, being a small body getting shoved around between gas giant Jupiter and Earth. It has power series numerics relating it to a near neighbour reminiscent of the dwarf planets Pluto and Eris, which are beyond the main system, and further from the Sun’s gravitational pull. They relate more to Neptune’s orbital period.

The Fibonacci series can be generated from a quantising fractal starting with a golden rectangle split into two triangles. The series runs 1,1,2,3,5,8,13,21,34,55,89,… and is also generated by simply adding the two latest numbers to obtain the next number. 1+1=2, 2+1=3, 3+2=5 and so on. The ratios formed by adjacent numbers converge on the golden section or phi as the numbers get larger.

Enough preamble, here are the numbers.

Mainline sequence
Group one: Neptune and Uranus – period ~170 years
1 N orbit
1 U-N conjunction
2 U orbits

Dividing Period and solar distance by ~3 we get:

Group two: Saturn and Jupiter – period ~60 years
2 S orbits
3 J-S conjunctions
5 J orbits

Dividing Period and solar distance by ~8 we get:

Group three: Earth, Venus, Mercury and the Sun – period ~8 years
5 E-V conjunctions
8 E orbits
13 V orbits
21 V-Me conjunctions
34 Me orbits
55 Me rotations
89 Solar polar rotations (of ~33 days)

An interesting aspect of the solution is the link between the solar radial distance differences and the timescale differences of each of the planet groupings. This hints at quantised structure in the lognormal arrangement of the solar system. Note that the quantisation node difference multipliers are themselves Fibonacci numbers 3 and 8.

Mars and the dwarf planets Pluto and Eris

Mars is pretty small at around 1/10 of Earth’s mass, and is squeezed between bigger neighbours Earth/Venus and gas giant Jupiter. It doesn’t have the punch to force its own place in the mainline series. But it does still relate to it with powers and Fibonacci numbers.

Taking the square of our group three 8 year period we get:

Big thanks to my co-researcher Stuart ‘Oldbrew’ for this neat Mars solution and the Pluto-Eris-Neptune orbital period relations below.

Neptune:Pluto = 3:2
Pluto:Eris = 3²:2² (9:4)
Neptune:Eris = 3³:2³ (27:8)

So there you have it, order in the chaos. Take all mainstreamer stories of planets being where they are due to ‘collisions’ and throw them in the bin. Such lazy-brained thinking has no place in science. There’s a reason why Earth’s moon is the same apparent size as the Sun at full eclipse and Earth is the same apparent size as the Moon at lunar eclipse. It just hasn’t been fully worked out yet. Miles Mathis thinks it involves charge as well as gravity. I think it also involves lognormal distribution. We’ll keep working on the problem as we aim to discover: Why Phi?