Fourier Physical Geodesy.

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)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1978
Accession Number
ADA056837

Entities

People

  • Stanley K. Jordan

Organizations

  • TASC, Inc

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Altitude
  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Computational Science
  • Coordinate Systems
  • Data Processing
  • Discrete Fourier Transforms
  • Fluid Mechanics
  • Gravity Anomalies
  • Grids
  • High Altitude
  • Integrals
  • Low Altitude
  • Short Wavelengths

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Wave Propagation and Nonlinear Chaotic Dynamics.