As Pluto is getting some media attention due to the impending ‘fly-by’ of a NASA space probe, let’s take a look at its orbital relationship with its neighbours.
So-called dwarf planet Eris is rarely mentioned in the media but is about the same size as Pluto. At its furthest point from the Sun (aphelion) it’s over three times as far away as Neptune in a highly elliptical orbit.
In the diagram each ‘triangle’ of figures is self-consistent e.g. 149-99 = 50.
The conjunction ratios of 50:55:105 reduce to 10:11:21, close to 1:1:2. (2,5,21 and 55 are Fibonacci numbers).
The well-known 3:2 Neptune-Pluto orbital ratio is closely reflected by the 149:99 figures (150:100 = 3:2).
Note also the Pluto:Eris orbital ratio of 44:99 = 4:9 = 2²:3²
JPL orbital data:
44 Eris = 24553.76y
99 Pluto = 24544.144y
149 Neptune = 24553.906y
Model accuracy: greater than 99.95%.
Pluto orbit graphics: http://en.wikipedia.org/wiki/Pluto#Orbit_and_rotation