Discretization on the cosmic scale inspired from the Old Quantum Mechanics

Details Discretization on the cosmic scale inspired from the Old Quantum Mechanics Discretization on the cosmic scale inspired from the Old Quantum Mechanics

1998-07-17

arxiv.org/abs/astro-ph/9807186v1

Hadronic J. 21 (1998) 237-253

Astronomy and Astrophysics

Astrophysics

17 pages, LaTex, 2 Postscript figures

Scientific paper

The Old Quantum Mechanics actions discretization rules for periodic motions on the atomic scale (Bohr-Sommerfeld) have been suitably modified in order to account the gravitational field instead of the electrostatic one. The new rules are used to calculate a few mechanical quantities pertinent to the periodic motions of celestial bodies. Several values have been obtained which result in reasonable agreement with the corresponding experimental data. A gravitational dimensionless structure constant has been determined, using the data relative to the solar sistem, which allows to quantitatively account for phenomena on a much wider scale. In particular, some information is acquired about the recently discovered extrasolar planetary systems and about the general empirical law which connects the spin of a celestial body with the square of its mass.

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