Scale relativity and quantization of planet obliquities.

Details Scale relativity and quantization of planet obliquities. Scale relativity and quantization of planet obliquities.

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998csf.....9.1035n&link_type=abstract

Chaos Solitons Fractals, Vol. 9, No. 7, p. 1035 - 1041

Mathematics

Probability

5

Planetary System: General Relativity, Planetary System: Quantum Effects, Planets: Obliquity

Scientific paper

The author applies the theory of scale relativity to the equations of rotational motion of solid bodies. He predicts in the new framework that the obliquities and inclinations of planets and satellites in the solar system must be quantized. Namely, one expects their distribution to be no longer uniform between 0 and π, but instead to display well-defined peaks of probability density at angles θk = kπ/n. The author shows in the present paper that the observational data agree very well with the prediction for n = 7, including the retrograde bodies and those which are heeled over the ecliptic plane. In particular, the value 23°27' of the obliquity of the Earth, which partly determines its climate, is not a random one, but lies in one of the main probability peaks at θ = π/7.

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