Mathematics
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992em%26p...56..233d&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 56, no. 3, March 1992, p. 233-242.
Mathematics
Celestial Mechanics, Harmonic Oscillation, Heuristic Methods, Resonance, Solar System, Mathematical Models, Natural Satellites, Solar Planetary Interactions, Wave Interaction
Scientific paper
A heuristic model is proposed of the mean distances between the solar-system planets, their satellites and the primaries. The model is based on: (1) the concept of the solar system structure wave nature; (2) the micro-mega analogy of the micro- and megasystem structures; and (3) the oscillator amplitude 'quantization' phenomenon, occurring under wave action, discovered on the basis of the classical oscillations theory. 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.
Damgov Vladimir N.
Duboshinski D. B.
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