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- W1589023714 abstract "An important goal of geodesy is to determine the anomalous potential and its derivatives outside of the earth. Representing the surface anomalies by a series of spherical harmonics is useful since it is then possible to do a term by term solution of Laplace's equation and upward continuation. The problem of finding such a spherical harmonic series for anomaly values given on an equiangular surface grid is addressed. (This is a first step toward the more complicated problem of finding a function such that locally averaged values fit a grid of mean anomalies.) Three approaches to this fitting problem are discussed and compared: the discrete Fourier technique, the discrete integral technique, and a new approach. The peculiar nature of the equiangular grid, with its increasing density of (noisy) data toward the poles, causes each method to exhibit a different type of difficulty. The new method is shown to be practical as well as precise since the numerical conditioning problems which appear can be successfully handled by such well-known techniques as a (simple) Kalman filter." @default.
- W1589023714 created "2016-06-24" @default.
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- W1589023714 date "1989-06-01" @default.
- W1589023714 modified "2023-09-26" @default.
- W1589023714 title "Precise solution for a finite set of spherical coefficients from equiangular gridded data" @default.
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- W1589023714 hasPublicationYear "1989" @default.
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