FIZIKA A 8 (1999) 2 , 45-50

LETTER TO THE EDITOR

SQUARE LAW FOR ORBITS IN EXTRA-SOLAR PLANETARY SYSTEMS

ANTUN RUBČIĆ and JASNA RUBČIĆ

Department of Physics, University of Zagreb, Bijenička 32,
10000 Zagreb, Croatia
E-mail: rubcic@sirius.phy.hr

Received 27 April 1999; Accepted 1 September 1999

The square law r_n = r₁n² for orbital sizes r_n (r₁ is a constant dependent on the particular system, and n are consecutive integer numbers) is applied to the recently discovered planets of u Andromedae and to pulsars PSR B1257+12 and PSR 1828-11. A comparison with the solar planetary system is made. The product nv_n of the orbital velocity v_n with the corresponding orbital number n for planets of u Andromedae is in good agreement with those for terrestrial planets, demonstrating the generality of the square law in dynamics of diverse planetary systems. "Quantized velocity" of nv_n is very close to 24 kms^-1, i.e. to the step found in the quantized redshifts of galaxies. A definite conclusion for planetary systems of pulsars requires additional observations.

PACS numbers: 95.10.Ce, 95.10.Fh, 95.30.-t
UDC 523.2, 531.35

Keywords: planets of u Andromedae and of pulsars PSR B1257+12 and PSR 1828-11, square law for orbital sizes, "quantized velocity" nv_n

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