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Volume 15: Pages 133-137, 2002
Development of the Titius‐Bode Law and the Extensive Quantum Theory
Department of Physics, Yunnan University, Kunming 650091, People's Republic of China
The Titius‐Bode law, which describes the average distances r between the Sun and various planets, may be represented by a new formula, rn = an2. Here a is a constant and n is an integer. If we let a1 = 0.042, the values n = 3, 4, 5, 6 will refer to the terrestrial planets and n = 7, 8 to asteroids. For a2 = 1.2 and n = 2, 3, 4, 5, 6 this formula describes the Jovian planets. In this case Neptune, Pluto, and many satellites also agree with this formula. From this can be developed a similar theory to the Bohr atom model, and we obtain the quantum constant H = (aGM )1/2 of the solar system. As such many quantities of the solar system can be quantized. Then the astronomical Schrödinger equation is derived, and the distance rule is a statistical result of planet evolution. Further, an extensive quantum theory should exist that has different quantum constants but similar formulations.
Keywords: solar system, celestial evolution, symmetry, quantum constant, Schrödinger equation
Received: October 28, 1997; Published online: December 15, 2008