It gives me pleasure to turn the Titius Bode Rule into a science physics law of Nature. It gives me pleasure because it is basically the Solid Body Rotation of the Sun's gravity-cell.
Maybe I should find a better name for gravity-cell for its importance is to nullify the 220km/sec of the Sun's linear speed in space while Earth has only 29km/sec. So is there a term in the Maxwell Equations for a rotation that compensates for electricity current versus magnetism? Is it a displacement current in the Ampere/Maxwell law? So that a gravity-cell is actually just the displacement current in Ampere/Maxwell law or is it the magnetic current density in the Faraday law when magnetic monopoles are included? At the moment, I do not know. But let me start talking about the Titius Bode Rule and why it exists because gravity is EM-gravity out of the Maxwell Equations.
--- quoting Wikipedia on the Titius-Bode Rule --- Here are the distances of planets in the Solar System, calculated from the rule and compared with the real ones:
Graphical plot using data from table to the left Planet k T-B rule distance (AU) Real distance (AU) % error (using real distance as the accepted value) Mercury 0 0.4 0.39 2.56% Venus 1 0.7 0.72 2.78% Earth 2 1.0 1.00 0.00% Mars 4 1.6 1.52 5.26% Ceres1 8 2.8 2.77 1.08% Jupiter 16 5.2 5.20 0.00% Saturn 32 10.0 9.54 4.82% Uranus 64 19.6 19.2 2.08% Neptune 128 38.8 30.06 29.08% Pluto1 256 77.22 39.44 95.75% 1 Ceres was considered a planet from 1801 until the 1860s. Pluto was considered a planet from 1930 to 2006. Both are now classified as dwarf planets. 2 While the difference between the T-B rule distance and real distance seems very large here, if Neptune is 'skipped,' the T-B rule's distance of 38.8 is quite close to Pluto's real distance with an error of only 1.62%.  Theoretical explanations There is no solid theoretical explanation of the Titius?Bode law, but if there is one it is possibly a combination of orbital resonance and shortage of degrees of freedom: any stable planetary system has a high probability of satisfying a Titius?Bode-type relationship.
--- end quoting Wikipedia on Titius-Bode Rule ---
Now basically the Titius-Bode Rule is a doubling.
Now look at these speeds of planets in which I included Ceres and Pluto:
Sun ?____ Speed in Space 220 km/sec ?Equatorial Rotation velocity 7,000 km/hour
So how is the Titius-Bode Rule become a law of physics? Well, when gravity is EM-gravity, then the Space gravity around the Sun is a extended sphere out to the Oort Cloud and this sphere rotates slowly around that axis. The rotation of that axis nullifies the huge speed of the Sun of its 220km/sec and allows for small speeds like the Earth at 29km/sec or Jupiter at 13km/sec allows them to remain bounded- bonded into the Solar System. If not for the gravity cell rotating in solid body rotation, then in 10 years time the planets of the Sun would migrate out to the Kuiper belt and the Solar System would disintegrate day by day.
Now the reason there is a tiny mismatch for Neptune and Pluto in the Titius Bode Rule is because in the rule we have to compensate for the gravity cell set up by Jupiter and Saturn which has a influence on the uniformity of the Sun's gravity cell and we see this in the fact of Uranus having a 97degree axial tilt and that the asteroid belt is rubble instead of a solid planet due to the Jupiter-Saturn nexus.
The Solar System, our Solar System is completely governed by electricity and magnetism and gravity is a EM-gravity.
Google seems to have stopped doing author-archives as of 2012. Only Drexel's Math Forum has done a excellent, simple and fair author- archiving of AP posts to sci.math for the past several years as seen here: