Abstract
A simple formula is presented giving the value of γ−γr to better than 0.001 mgal associated with an arbitrary reference ellipsoid, where γ is the normal gravity and γr 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−γr 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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Blaha, G. Accurate formula expressing the difference between the normal gravity and its radial component. Bull. Geodesique 52, 19–23 (1978). https://doi.org/10.1007/BF02521789
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DOI: https://doi.org/10.1007/BF02521789