A description of extra-solar planetary orbits through a schrödinger - type diffusion equation.

The planetary orbits in our solar system have been successfully described by an approach similar to the Bohr atomic model [1-3]. A Schrödinger-type diffusion equation has shown that quantum states associated to the asteroid belt are in very good agreement with the observed mean radii of the asteroids which perform the internal and external orbits in the belt. According to these results, a model of quantum states condensation was proposed in order to infer the orbits of the planets in our solar system [4]. In this paper, the use of the Schrödinger-type diffusion equation reproduces the observed mean distances for the 101 extra-solar planets discovered up to now. A considerable number of these planets were found at the planetary mean distance of 0.05 AU from their stars, which is the fundamental radius obtained by this approach. Planets with mean distances of 2.0 AU were also predicted by the model.
Pages: 113-121