Anpmaly Selection for Deflection Interpolation, Part 1. Theoretical Investigation

Abstract

This report presents the results of theoretical studies performed to determine the combined geodetic and geophysical significance of current gravity reduction techniques. Special emphasis was given to the problem of interpolation of deflections of the vertical by gravimetric means. An examination of the mathematical theory of physical geodesy revealed that the accuracy of the mathematical equations relating deflections of the vertical and gravity anomalies could not be improved by choice of gravity anomaly. The choice of a gravity anomaly for use in the deflection interpolation equations was found to depend upon the accuracy with which the anomaly could be interpolated between observation points and the relative amount of labor required to carry out numerical computations. The complete Bouguer anomaly with geologic corrections was found to be the best anomaly to use for interpolation of gravity with a reversion to the normal complete Bouguer anomaly without geologic corrections for use in the mathematical equations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0463072

Entities

People

  • G. P. Woolard
  • W. E. Strange

Organizations

  • University of HawaiĘ»i System

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Elevation
  • Geography
  • Geophysics
  • Gravitational Fields
  • Interpolation
  • Longitude
  • Mass Transfer
  • Observation
  • Potential Theory
  • Sea Level
  • Topography

Readers

  • Geodesy
  • Space Exploration and Orbital Mechanics.
  • Theoretical Analysis.