Comparison of upward continued anomalies computed by the Poisson Integral and by collocation
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Date
1975-06
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Ohio State University. Division of Geodetic Science
Abstract
The computation of gravity anomalies at four altitudes, 6.09km, 7.010 km, 9.144 km and 10.670 km, was carried out through the use of the standard Poisson integral, and through the use of the method of least squares collocation as implemented through a Fortran computer program written by Tscherning. In the comparison of the results we found (approximately) mean differences on the order of 0.5 mgal, root mean square differences on the order of 0.7 mgals, and percentage differences on the order of 10 percent. Specific values depend on how the collocation procedure was implemented and the heights involved. The computer time needed for the collocation procedure was greater than that needed for the Poisson Integral. In cases when an integral formula can be obtained for a desired quantity, the collocation process would take longer computationally. However there are many types of computations that can only be done using least squares collocation.