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Estimation Of Regional Trends In Gravity Using Gram Orthogonal Polynomials, Stanley Dean Thompson

Masters Theses

"A computer program is presented which estimates the trend in a rectangular array of gravity measurements. It is assumed that the regional trend of gravity may be estimated by a low-order polynomial. The method of least-squares is applied to solve for the low-order polynomial which best approximates this trend. Gram orthogonal polynomials are used in the solution of this least-squares surface fit. The program is tested on a known polynomial and on some hypothetical Bouguer gravity data and found to approximate the ʺregional trend of gravity in these cases. The importance of eliminating any significant noise in the observations before …