Bode and the Trans-Uranian planets

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An earlier webpage concerning
The discovery of the asteroid belt
showed The Bode-Titius Law for objects inside Neptune
Here is the list expanded to include Trans-Neptunian objects,

  • Take the simple mathematical series 0, 3, 6, 12, 24, 48,
    96, 192 384,768. Notice that each number (apart from the 0 and 3) is double the previous one.

  • Now, add 4 to each number so that you get the series 4, 7, 10, 16, 28, 52, 100, 196, 388, 772.

  • Now divide each of those numbers by 10 to get the series 0.4, 0.7, 1.0, 1.6, 2.8, 5.2, 10.0, 19.6.

The table below shows how accurate this number series is for each of the planets and dwarf planets with the distance from the Sun being shown in Astronomical Units

ObjectCalculated Distance Actual distance
Mercury0.40.39
Venus0.70.72
Earth1.01.00
Mars1.61.52
Ceres2.82.77
Jupiter5.25.20
Saturn10.09.54
Uranus19.619.19
Neptune---30.07
Pluto38.829.5 to 48
Quaoar---42.0
Eris ---37.78 to 97.56
Sedna77.276 to 990

'There is geometry in the humming of a string; There is music in the spacing of the spheres'-

.............Pythagoris

It is curious to note that neither Neptune nor Quaoar fit into this scheme. I further suspect that at some time eons ago, Pluto and Eris were one and something caused them to go their seperate ways.

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