The Titius-Bode law and the wave formalism

Details The Titius-Bode law and the wave formalism The Titius-Bode law and the wave formalism

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982m%26p....26..389l&link_type=abstract

Moon and the Planets, vol. 26, June 1982, p. 389-398. In French.

Astronomy and Astrophysics

Astronomy

3

Astronomical Models, Celestial Mechanics, Solar System, Wave Equations, Analogies, Bohr Theory, Density Wave Model, Poisson Equation

Scientific paper

The possibility of an unknown wave process in the solar system, suggested by a formal similarity between the Titius-Bode law and the Bohr law in early quantum theory, is investigated. A steady wave encountered in a special membrane is studied, showing node rings similar to the Prentice's rings which obey the T-B law. An attempt is made to apply the Lindblad-Lin density wave theory of spiral galaxies to the solar nebula case. The similarity between the steady wave equation within the special membrane and a new expression of Poisson's equation suggests that both the structure of spiral galaxies and that of Prentice's rings system result from the investigated wave process. The wavelength of the assumed wave is found by using a procedure similar to de Broglie's (1923). The velocity of the wave process is discussed for two cases, both leading to a similar Planck's relation.

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