Mean gravity anomaly prediction from terrestrial gravity data and satellite altimetry data
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Date
1974-08
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Ohio State University. Division of Geodetic Science
Abstract
This report examines the prediction of mean gravity anomalies from terrestrial gravity material and/or simulated satellite altimeter data. The first part of the report deals with the prediction of 1° and 5° equal area anomalies using equations following from those of Moritz where the accuracy of the terrestrial data is considered. The prediction of 1° blocks from 1° anomaly data gave a standard error of prediction of approximately ±19 mgal while the prediction of 5° anomalies from 1° data led to prediction accuracies from ±1 to ±19 mgals. The correlation between adjacent predicted blocks when overlapping data sets were used was found to be low. The Least Error Integral prediction method of Moritz was derived in matrix form but was found to be no applicable to non-uniform real world data. Collocation prediction methods were used in the second part of the report to carry out 1° and 5° anomaly predictions from gravity anomaly and simulated altimetry data. Using only altimeter data a 1° anomaly could be predicted to an accuracy of about ±17 mgal for sparse data distributions and ±12 mgals for dense data distributions.