The wave nature and dynamical quantization of the solar system

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 .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.

“Discrete” Oscillations and multiple attractors in kick‐excited systems

“…E-mail: vdamgov@bas.bg. 100 V. DAMGOV AND I. POPOV is nonlinear as regards the coordinates of the excited systems (Vaynshtein and Vakman, 1983;Damgov et al, 1986;Landa and Douboshinsky, 1989;Damgov and Grinberg, 1991;Damgov and Douboshinsky, 1992). References as LF and HF are used only on a relative basis.…”

“…in periodically kicked hard oscillators, ice-structure interaction models, kicked rotators, driven impact oscillators, cyclotron accelerators of charged particles or phenomena of grouping and phase selection of particles, some processes of interaction between electromagnetic waves and particle ensembles in the ionosphere and magnetosphere of the earth, phenomena of generating powerful LF waves in the near space given a cosmic electromagnetic background, "mega-quantum" resonance structure of the solar system, etc. (Isomfiki et al, 1985;Isomfiki, 1990;Tung, 1992;Soliman and Thompson, 1992;Troesch et al, 1992;Damgov and Douboshinsky, 1992;Cecchi et al, 1993). This paper deals with the common features in the behavior of pendulum with invariable parameters in new conditions, namely, the pendulum is affected by continuous periodical external constrained force which is inhomogeneous with respect to the coordinates of motion.…”