FIZIKA B 7 (1998) 1, 1-14

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THE QUANTIZATION OF THE SOLAR-LIKE GRAVITATIONAL SYSTEMS

ANTUN RUBČIĆ and JASNA RUBČIĆ

Department of Physics, Faculty of Science, University of Zagreb, Bijenička cesta 32, HR-10001 Zagreb, Croatia;
e-mail: rubcic@phy.hr
Received 24 January 1998; Accepted 1 June 1998

Mean orbital distances rn of planets from the Sun and of major satellites from the parent planets Jupiter, Saturn and Uranus are described by the square law rn = r1n2, where the values of n are consecutive integers, and r1 is the mean orbital distance expected at n = 1 for a particular system. Terrestrial planets and Jovian planets are analysed as separate systems. Thus, five independent solar-like systems are considered. The basic assumption is that specific orbital angular momentum is "quantized". Consequently, all orbital parameters are also discrete. The number n relates to the law of orbital spacing. An additional discretization, related to r1, i.e. to the scale of orbits, accounts for the detailed structure of planar gravitational systems. Consequently, it is also found that orbital velocity vn multiplied by n is equal to the multiple of a fundamental velocity v0 » 24 km s-1 , valid for all subsystems in the Solar System. This velocity is equal to one of the "velocity" increments of quantized redshifts of galaxies.

PACS numbers: 95.10.Ce, 95.10.Fh, 96.30.-t
UDC 523.2, 531.35

 

 

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