Development of the global geoid model based on the algorithm of one-dimensional spherical Fourier transform

Abstract

An algorithm for constructing a model of the global geoid with zero-order approximation accuracy is considered. The algorithm is based on the one-dimensional spherical fast Fourier transform (FFT). It is 2.5 orders faster than those using the conventional discrete transform, and four orders, as compared with those using the numerical integration method. The algorithm was tested on the new Earth gravitational model EGM2008 published by the U.S. National Geospatial-Intelligence Agency (NGA).