Evidence for Self—Similarities in the Harmonic Development of Earth Tides

  • Hans-J. Kümpel

Abstract

Recent models of the earth’s tidal potential include more than 103 individual harmonic constituents (Tamura 1987, Xi Qinwen 1987, 1989), enough to screen these data for the existence of self—similarities. It is found that the number of constituents surpassing a certain amplitude level shows a fractal distribution over at least four orders of magnitude. Its fractal dimension is close to 0.5. Accordingly, a refined tidal model which is complete should include about 10 times as much harmonic constituents as a coarser model, when the smallest amplitude of the refined model is 100 times smaller than that of the coarse one. Whether this feature masks an inherent structure in the spatial distribution or in the dynamics of celestial bodies governing the tidal forces is yet unknown.

Keywords

Dust Geophysics 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Hans-J. Kümpel
    • 1
  1. 1.Geologisches InstitutRheinische Friedrich-Wilhelms-Universität BonnBonnGermany

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