Quantum formalism in gravitation quantitative application to the Titius-Bode law

Physics

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Energy Transfer, Gravitation Theory, Many Body Problem, Natural Satellites, Planetary Evolution, Quantum Chromodynamics, Newton Second Law, Planetary Gravitation, Solar System

Scientific paper

Although the fact that planetary as well as satellite systems obey the Titius-Bode law presenting almost the same geometric progression suggests that they have a common origin, it is noted that the law must be independent of initial conditions in the formation of planets or satellites. Quantum formalism leads to the Titius-Bode law for all systems, independently of initial conditions. A study of the case of two isolated point-masses shows that, for an N-body system, deviation from a pure geometric progression may occur. This may account for the Blagg (1913) and Richardson (1945) deviation function.

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