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Volume 15: Pages 133-137, 2002
Development of the Titius‐Bode Law and the Extensive Quantum Theory
Yi‐Fang Chang
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
