Hydrostatic equilibrium and deceleration of the earth's rotation

Physics – Geophysics

Scientific paper

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Deceleration, Earth Rotation, Geophysics, Hydrostatics, Angular Momentum, Earth-Moon System, Flattening, Tides

Scientific paper

The discrepancies between the polar flattening (alpha) and deceleration of the earth predicted by hydrostatic theory (e.g., O'Keefe, 1966) and the measured alpha and deceleration are investigated analytically. It is pointed out that the alpha difference is of the order of alpha squared; i.e., of the accuracy of the hydrostatic model. It is found that the deceleration difference cannot be explained by the alpha discrepancy but could be accounted for by a small decrease of the maximum principal moment of inertia or by a decrease in alpha with time as d(alpha)/dt = -3.5 x 10 to the -9th/cy. The decrease in the absolute value of the second zonal Stokes constant observed in Lageos data by Yoder et al. (1983) is attributed to a tendency to renew (rather than deviate from) the previous hydrostatic equilibrium state.

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