Gravity formulas utilizing correlation with elevation

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Abstract
Solutions for the first two terms of the standard gravity formula γ6(1 + β sin2 Φ) were made, all based on the assumption that the gravity anomalies in areas without observations will average the same as observed values of the same elevation. The solution by the method considered theoretically best yields equation image and equation image The coefficients of the fourth and sixth degree zonal harmonics were also computed and used to estimate how much a flattening found from satellite motion would differ. For example, it is estimated that an orbit approximating that of 1958β would give f = 1/298.00.

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