An Investigation of Two Models for the Degree Variances of Global Covariance Functions.

Abstract

Degree variances of the covariance function for gravity anomalies are represented according to the two-component model suggested by Moritz in an attempt to arrive at a low horizontal gradient variance (200 E squared). The parameters of the model are determined through a least squares adjustment to data consisting of GEM 9 anomaly degree variances, as well as empirical point and mean anomaly variances. Results show that this model can accommodate the given point and mean anomaly variances and degree variances, while also yielding the desired low gradient variance. A comparison of this and a similar one-component model investigated by Tscherning and Rapp indicates that the latter cannot produce a low gradient variance together with a satisfactory fit to the data. Also, it does not adapt as well to the observed (GEM 9) attenuation of the anomaly degree variances. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA063196

Entities

People

  • Christopher Jekeli

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Artificial Satellites
  • Coordinate Systems
  • Covariance
  • Data Science
  • Data Sets
  • Department Of Veterans Affairs
  • Equations
  • Geodesy
  • Gravity
  • Gravity Anomalies
  • Grids
  • Random Variables
  • Stationary Processes
  • Statistical Analysis
  • Stochastic Processes
  • Two Dimensional

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Space Exploration and Orbital Mechanics.