ACCURACY OF MEAN GRAVITY ANOMALIES OBTAINED FROM POINT AND PROFILE MEASUREMENTS,

Abstract

Mean gravity anomalies for a certain rectangular area (block) can be computed from observed point or profile gravity values using some interpolation method (e.g., representation or least squares interpolation). If the covariance function of the gravity anomalies is known and the interpolation method is specified, then the accuracy (standard error and error covariance) of the mean anomalies can be computed without any additional numerical data. The formulas for this purpose are evaluated numerically for different sizes of blocks and different interpolation methods using an estimate for the covariance function. The integrals involved are approximated by summations performed by a highspeed computer. The results show the accuracies obtainable with a given observational material, by different interpolation methods. They are useful for numerical studies on the error propagation in the computation of gravimetric quantities (e.g., geoid undulations). (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0436638

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Computers
  • Covariance
  • Errors
  • Gravity
  • Gravity Anomalies
  • Integrals
  • Interpolation
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Standards

Readers

  • Approximation Theory.
  • Geodesy