Table on middle distances from the Sun in AE and masses in Earth units with abbreviations. (Data from two different sources)

A short introduction

The hunting for more of a given order in our planet system may seem rather crazy in the views of modern astronomers. It is presumably contrary to modern opinions about the birth of the solar system out of masses of dust through rotating magnetic fields and other dynamic processes and "random" collisions and, above all, variability over time.
   The research not only becomes curiously Earth-Sun-centered but also Now-centered.
   (And there is not much knowledge yet of other planet systems to compare with.)

That there is some order at least is evident from Kepler's laws for the relation between orbital time of the planets and the orbital radii:

A³/T² = c x (Msun + Mplanet)      A = distance to the sun
..................................................T = orbital time
..................................................c = a constant
..................................................M = mass

And then we have the suggested formula of Bode for the distances of planets from the sun (in Earth units = AE): 0, 4 + 0, 3 x 2^x (x = 0,1,2,3,4,5,6, 7)

0,4 = ca. distance for Mercury (0,387).
x = 0 gives 0,7 = ca. distance for Venus etc.

The formula agrees rather well for all planets but Neptune. Since this planet was found, the astronomers have thought that the formula perhaps was a chance.

To Planet system in AE - Exponent 3/2