Optimal Estimation of a High Degree Gravity Field from a Global Set of 1 deg x 1 deg Anomalies to Degree and Order 250.
OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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An algorithm developed by Colombo 1981 for the optimal estimation of potential coefficients has been implemented with global 1 deg X 1 deg gravity anomalies. The reformulation of the algorithm, and the modifications, have been described. The effect of changes in anomaly error estimates, and change in the anomaly data, on the optimally estimated potential coefficients has been examined. Potential coefficients were estimated complete to degree and order 250 with present realistic anomaly error estimates, and also with idealized anomaly error estimates. A comparison wtih the current set of potential coefficients Rapp, 1981 complete to degree and order 180 shows a realistic coefficient percentage improvement of about 8 at degree 60, increasing to about 33 at degree 180. The cumulative undulation and anomaly difference to degree 180 is 1.51 meters and 2.7 mgals respectively. The present coefficient error estimates are better by a factor of about two when compared to the current coefficient error estimates. Keywords include Earths Gravity Field Spherical Harmonics Degree and Order 250 Optimal Estimation.