The de Sitter theory of the hydrostatic flattening of the earth is reviewed and slightly modified, and the shape of rotating earth models in hydrostatic equilibrium is discussed. It is once more verified that the earth is not in hydrostatic equilibrium, and several interpretations of its departure from that equilibrium are given. The internal strength needed to maintain the global departures from hydrostatic equilibrium is discussed. The most probable value appears to be about 30 bars, or about the same as the stresses associated with regional anomalies of the earth's gravity field.
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Michèle Caputo (1965) studied this question.
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