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 an overview of the system. 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. Accuracies are given as percentages in brackets.
Group-one: Neptune and Uranus – period ~168 years
1 N orbit (98%)
1 U-N conjunction (98%)
2 U orbits (99.9%)
Dividing the group-1 period and solar distance by ~3 we get:
Group-two: Saturn and Jupiter – period ~59 years
2 S orbits (99.4%)
3 J-S conjunctions (99.4%)
5 J orbits (99.9%)
Dividing the group-1 period and solar distance by ~21 we get:
Group-three: Earth, Venus and Mercury – period ~8 years
5 E-V conjunctions (99.8%)
8 E orbits (100%)
13 V orbits (99.4%)
21 V-Me conjunctions (95.3%)
34 Me orbits (98%)
Speculative spin-orbit relations in the same 8 year period
12 V rotations (99.8%) (Due to Venus retrograde spin, it’s day length is in a 3:2 relationship with Mercury’s)
50 Me rotations (99.2%) (Mercury spins 3 times during 2 orbits making 1 Mercurial day)
89 solar polar rotations (99.5%)
233 semi-solar-equatorial rotations (99.7%)
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 between group-1/group-2, and group-1/group-3 are themselves near Fibonacci numbers 3 and 21.
The long term cycles
The three main planet pairs U-N, J-S and E-V have conjunctions cycles consisting of Fibonacci numbers and which precess over long periods that also relate in Fibonacci ratios.
~3600 year U-N cycle of 21 conjunctions
~2403 year J-S cycle of 40x3 conjunctions (every 60 years the 3rd conjunction is within 2.5 degrees of the previous)
~1199 year E-V cycle of 150x5 conjunctions (every 8 years the 5th conjunction is within 2.5 degrees of the previous)
The E-V conjunction cycle precession period is in a 2:1 ratio with that of J-S.
The J-S conjunction cycle precession period is in a 3:2 ratio with that of U-N
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:
34 Ma orbits = 8² E orbits (99.9%)
Big thanks to my co-researcher Stuart ‘Oldbrew’ for this neat Mars solution and the Pluto-Eris-Neptune orbital period ratios below.
Neptune:Pluto = 3:2 (99.7%)
Pluto:Eris = 3²:2² (9:4) (99.96%)
Neptune:Eris = 3³:2³ (27:8) (99.66%)
Eris, on average, completes 0.61 orbits in 2 times the Neptune-Uranus group-1 period. This puts it in a phi ratio with the start of the ‘mainline sequence’. Note also that the Pluto-Eris group is around 2 times the distance from the Sun as the Neptune-Uranus group, giving us a 1:2, 1:3 and 1:21 set of ratios for the quantisation node point to solar distances. These are inexact, but are ‘nearest whole number’ ratios. Pluto completes 1.5 orbits in the same period of ~336 years, hence it’s 2:3 orbital period ratio with Neptune. The perihelion distances ratio of Pluto and Eris is 1:root Phi (99.5%).
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?