## A Demonstration of the Titius–Bode Law and the Number of Saturn’s Rings by Newtonian Methods Using the Kerr-Newman Solution of the General Relativity Theory

**Authors:** Fumitaka Inuyama

The beautiful Titius–Bode law (ξ=0.4+0.3×2^n ) discovered 250 years ago, is considered to be a mathematical coincidence rather than an "exact" law, because it has not yet been proved physically. However, considering the disturbance reparation and stability of the asteroid belt orbit, there must be some underlying logical necessity.
Planetary orbits are often computed by Newtonian mechanics calculating the kinetic energy and the universal gravitation energy. But applying the principle of energy-minimum to the Newtonian mechanics leads that the stable orbital radius is only one value, and this result disagrees perfectly with actual phenomena. The cause of this difference must be an extraction shortage of elements which rule over the planetary orbits. Other elements are the electric charge energy and the rotation energy which are guided by the Kerr-Newman solution discovered in 1965 of the general relativity theory. That is, I applied the principle of energy-minimum and Newtonian methods to the complicated energy equation which adopts mass, electric charge and rotation elements of the central core star as the Sun. Herewith, the Titius–Bode law is demonstrated mathematically and the number of Saturn’s rings, maximum 31 is calculated.

**Comments:** 10 Pages.

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### Submission history

[v1] 2019-02-18 23:40:05

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