Fourier Physical Geodesy.
Scientific rept. no. 1, 1 May 77-1 Mar 78,
ANALYTIC SCIENCES CORP READING MASS
Pagination or Media Count:
Fourier transforms are efficient and convenient for analyzing local gravity data, but the accuracy of Fourier methods is restricted by the flat-earth approximation. In this paper, the theory of matched asymptotic inner and outer expansions is used to develop improved flat-earth approximations, determine regions of convergence, and match global round-earth and local flat-earth gravity models. Accurate solutions in the terms of Fourier transforms are given for the integrals of Poisson, Stokes, and Vening Meinesz. The new theory provides an error analysis of flat-earth algorithms and a systematic procedure for improving their accuracy. Author
- Numerical Mathematics