The Influence of Distant Zones on Stokes' Equation Considering the Removal of Lower-Degree Harmonics from S(Psi) or Delta.

Abstract

The expected error in the computation of geoid undulations using Stokes' equation due to neglected distant zones is analyzed considering the removal of lower-degree harmonics from limited gravity anomaly data and from Stokes' kernel. Evaluation of the derived error equations assuming Kaula's rule for anomaly degree variances indicates that if the lower-degree components of geoid undulation are assumed known, removal of an equivalent number of such harmonics from the anomaly data alone produces the least-expected error for cap radii of less than 60 deg.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA066588

Entities

People

  • Patrick J. Fell

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Civil Engineering
  • Coefficients
  • Computations
  • Data Sets
  • Equations
  • Geodetic Surveys
  • Gravitational Fields
  • Gravity
  • Gravity Anomalies
  • Harmonics
  • Integrals
  • Kernel Functions
  • New Brunswick
  • Numbers
  • Square Roots
  • Undulation

Readers

  • Space Exploration and Orbital Mechanics.