KAULA'S RULE - A CONSEQUENCE OF PROBABILITY LAWS BY A. N. KOLMOGOROV AND HIS SCHOOL
Abstract and keywords
Abstract (English):
The paper analyzes a possible cause for the universal behavior of the covariating fluctuations of planet gravity. The consideration based on the idea that the topography fluctuations are governed by a random Markov process leads to universal dependence k−2" role="presentation" style="position: relative;">k-2k-2k^{-2} with k" role="presentation" style="position: relative;">kkk being the amplitudes of the j" role="presentation" style="position: relative;">jjj-th spherical harmonic of the terrain profile. This law known as the Kaula's rule is then derived from the solution of the Fokker - Plank equation for the fluctuations of the terrain profile as the function of the horizontal coordinate. The respective diffusivities for Earth and Venus are retrieved from the existing data.

Keywords:
Kaula's rule, Thumb rule, planet gravity, Fokker-Planck equation
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