Physics
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989geoji..99..561f&link_type=abstract
Geophysical Journal International (ISSN 0955-419X), vol. 99, Dec. 1989, p. 561-565.
Physics
Geodesy, Geoids, Oblate Spheroids, Planetary Evolution, Flattening, Hydrostatics, Mass Distribution, Mathematical Models
Scientific paper
A simple model of superficial hydrostatic equilibrium on a rotating isotropic self-gravitating sphere is employed to derive a planetary oblateness formula. The relation obtained describes oblateness on the basis of spin rate, polar radius and the mass of the planet only. An application to the oblate planets is made and the consistency with the most basic and known oblateness laws of geodesy is verified. By making the further hypothesis that the earth volume and mass has stayed constant, one derives that the size of the terrestrial oblateness adaptation which has taken place during the last half a billion years is a contraction of 2 km at the equator an uplift of 4.1 km at the pole. For the more remote history it appears very likely that the central condensation of the earth has decreased systematically over the past 3.5 billion years.
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