Number 1/98 as a 2^x-series à la Bode:

Neptune's distance could perhaps be traced out of the figure one hundred in Pluto's number 128 which is added to Uranus' number 64 when we read two-figure numbers.
100 x 0,3 = 30. Nept 30,1 AE.

- Cf. that Pluto's orbital partly or sometimes goes inside the orbit of Neptune and that Pluto according to one theory has been a moon to Neptune.
- Cf. too that Neptune and Uranus are a kind of pair planets. Uranus' number "64(+1) is the first with an underlying hundred figure.

Total sum of distances of the planets:
100 x 1/49 = 2,0408163265… → 10^2,040816... = 109,85
= 10² x 1/98 = 1,0204008163265… → 10^{1,02040816...}; → x² = 109,85…
Sum AE with the belt of asteroids given the middle distance 2,8. = 109,877

Bode's 2^x-series as 1/98 without the factor 0,3, as sums of number-pairs:

Why 1/98 ? No good answer here - but why 0,3 in the Bode formula?
According to some information, the sun has circa 2 % of the momentum of the solar system. The rest for the planets in that case is 98 %.

An addition about log-numbers:

2x² (x = 5-4-3-2-1-0):

Interval 8 --- 2 = 6, x lg 4 = 3,61: = Mars + Earth + Ven. + Merc., AE, -0,02)

Half numbers as "poles" in steps 3-2-1-0: : lg 4 x 16 - 9 - 4 - 1:

16 x lg 4      9 x lg 4      4 x lg 4      1 x lg 4
  9,63             5,42           2,41.       0,60.
≈ Sat+0,1.  Jup +0,2      Ast.-0,4     Earth -0,4

*

The chain 2x², here.