A formalism making explicit the law of planetary distances

Details A formalism making explicit the law of planetary distances A formalism making explicit the law of planetary distances

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981m%26p....25..389l&link_type=abstract

Moon and the Planets, vol. 25, Dec. 1981, p. 389-396. In French.

Physics

5

Distance, Formalism, Planetary Mass, Planetology, Protoplanets, Sun, Density Distribution, Poisson Equation, Wave Functions

Scientific paper

A mathematical formalism is sought which is capable of making explicit the Titius-Bode law of planetary distances from the sun as revised by Basano and Hughes (1979) in terms of a physical process leading to protoplanetary accretion. In a first approach to the problem, turbulence is taken as the principal action responsible for accretion within the planetary nebula, and a harmonic function describing planetary accretion is derived in terms of particle turbulences which accounts for the observed law. The second approach is based on fluctuations of the potential and density functions given by the Poisson equation, and a relation is obtained allowing the distribution to be explained by successive maxima in the potential. Finally, the accretion function is identified with a wave function in order to obtain the Basano-Hughes law, or the Titius-Bode law.

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