

FIZIKA B 7 (1998) 1, 114 THE QUANTIZATION OF THE SOLARLIKE GRAVITATIONAL SYSTEMSANTUN RUBČIĆ and JASNA RUBČIĆ email: rubcic@phy.hr Received 24 January 1998; Accepted 1 June 1998Mean orbital distances r_{n} of planets from the Sun and of major satellites from the parent planets Jupiter, Saturn and Uranus are described by the square law r_{n} = r_{1}n^{2}, where the values of n are consecutive integers, and r_{1} 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 solarlike 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 r_{1}, i.e. to the scale of orbits, accounts for the detailed structure of planar gravitational systems. Consequently, it is also found that orbital velocity v_{n} multiplied by n is equal to the multiple of a fundamental velocity v_{0} » 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

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