Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-05-22
ChaosSolitonsFractals21:21-28,2004
Astronomy and Astrophysics
Astrophysics
6 pages. Version accepted for publication in Chaos, Solitons & Fractals
Scientific paper
10.1016/j.chaos.2003.09.046
In the present work we show that planetary mean distances can be calculated with the help of a Schrodinger-type diffusion equation. The obtained results are shown to agree with the observed orbits of all the planets and of the asteroid belt in the solar system, with only three empty states. Furthermore, the equation solutions predict a fundamental orbit at 0.05 AU from solar-type stars, a result confirmed by recent discoveries. In contrast to other similar approaches previously presented in the literature, we take into account the flatness of the solar system, by considering the flat solutions of the Schrodinger-type equation. The model has just one input parameter, given by the mean distance of Mercury.
Carneiro Saulo
Maia L. A.
Oliveira Neto M. de
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