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Abstract:
A new way to estimate a composite earth gravity model,
representing 5i 5" equal area gravity anomalies, by
harmonic coefficients of the earth's gravity potential is
demonstrated. This earth gravity model represents a pure
terrestrial gravitational potential, developed by conventional
mathematical f,,'mulas. The observational data used
in the development wa, restricted to mean gravity anomalies
derived from surface gravity measurements. The mean gravity
anomalies representing the unsurveyed sectors adjacent to
surveyed sectors are allowed to take on values which are
determined from a previously derived potential function that
was developed from all previously established anomaly values
and from zero anomaly values for all unestablished sectors.
As each new potential function is developed fron the already
established sector means, that function is used to compute
and fix the mean anomaly values for the next step of unsurveyed
adjacent sectors. Thus, by successively fixing the
means of the adjacent sectors and by always holding to the
originally observed sector values, a full set of fixed means
and a final potential function can be developed.