Accession Number:

ADA056837

Title:

Fourier Physical Geodesy.

Descriptive Note:

Scientific rept. no. 1, 1 May 77-1 Mar 78,

Corporate Author:

ANALYTIC SCIENCES CORP READING MASS

Personal Author(s):

• Jordan,Stanley K.

Report Date:

1978-03-01

Pagination or Media Count:

56.0

Abstract:

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

Descriptors:

• *FOURIER TRANSFORMATION
• *GEODESY
• MATHEMATICAL MODELS
• ACCURACY
• POISSON EQUATION
• ASYMPTOTIC NORMALITY
• LAPLACE TRANSFORMATION
• GRAVITY ANOMALIES

Subject Categories:

• Geodesy
• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE