The relative variation of the vertical gravity gradient on the level ellipsoid.

Details The relative variation of the vertical gravity gradient on the level ellipsoid. The relative variation of the vertical gravity gradient on the level ellipsoid.

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995geoji.121..576b&link_type=abstract

Geophysical Journal International, Vol. 121, No. 2, p. 576 - 578

Physics

Potential Theory: Gravitation Theory, Geopotential

Scientific paper

The relative variation of the vertical gravity gradient on an equipotential ellipsoid is given as a function of the geometrical flattening f of the ellipsoid and of the rotational parameter m up to the second order in the quantities f and m. General formulae are also obtained for the relative variation of vertical derivatives of the geopotential with differentiation order higher than two; it is seen that particularly simple first-order formulae are obtained. A possible application of the concept of "flattening" of the vertical derivatives of the geopotential is also suggested.

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