Abstract
A heuristic model is proposed of the mean distances between the solar-system planets, their satellites and the primaries. The model is based on: (i) the concept of the solar system structure wave nature; (ii) the micro-mega analogy (MM analogy) of the micro- and megasystem structures, and (iii) the oscillator amplitude “quantization” phenomenon, occuring under wave action, discovered on the basis of the classical oscillations theory (Damgov et al., 1990, 1991).
From the equation, describing the charge rotation under the action of an electromagnetic wave, an expression is obtained for the discrete set of probable stationary motion amplitudes. The discrete amplitude values — the “quantization” phenomenon — are defined by the argument values at the extreme points of the N-order Bessel functions. Using this expression, the mean related distances are computed from the solar system planets and the Saturn, Uranian and Jovian satellites to the primaries.
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Damgov, V.N., Douboshinsky, D.B. The wave nature and dynamical quantization of the solar system. Earth Moon Planet 56, 233–242 (1992). https://doi.org/10.1007/BF00116289
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DOI: https://doi.org/10.1007/BF00116289