Accurate formula expressing the difference between the normal gravity and its radial component

Computer Science

Scientific paper

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Scientific paper

A simple formula is presented giving the value of γ-γ r to better than 0.001 mgal associated with an arbitrary reference ellipsoid, where γ is the normal gravity and γ r is its radial component. Further simplifications of this formula are possible, depending on the desired accuracy. Since in the actual field g-gr equals γ-γ r to a good approximation, this formula makes it possible to work in terms of gr rather than in terms of the measured quantity g. Such a choice is attractive mainly because the spherical harmonic expansion of gr is very simple.

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