Abstract
THE term average radial gravity ḡ(r) may be defined as the arithmetic mean of all the gravity values lying on the circumference of a circle of radius r. A similar definition holds good in the magnetic case also. This can be represented as a series expansion in terms of the even vertical derivatives at the centre as: 
where a2, a4, a6,… are closely connected with the even vertical derivatives at the centre by the relations: 
and a0 approximates the gravity value at the centre.
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RAO, B., RADHAKRISHNAMURTY, I. Convergence and Divergence in Gravity and Magnetic Interpretation. Nature 206, 179 (1965). https://doi.org/10.1038/206179a0
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DOI: https://doi.org/10.1038/206179a0
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