Decreasing the Influence of Distant Zones with Modifications to the Stokes and Vening Meinesz Kernels,

Abstract

The expected influence of distant zones on the computations of geoid undulation and vertical deflection is dramatically reduced with the application of a minimization procedure proposed by Molodenskii. Assuming that the lower degree harmonics of the gravity anomaly field are known, results are obtained for the Stokes and Vening Meinesz integrals. The results indicate that the expected truncation error based on these optimized kernel functions is negligible for typical applications when relatively few harmonics are known. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA096356

Entities

People

  • Maksiminas Karaska
  • Patrick Fell

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • C4I
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Civil Engineering
  • Classification
  • Coefficients
  • Computations
  • Deflection
  • Differential Equations
  • Equations
  • Geographic Regions
  • Gravity
  • Gravity Anomalies
  • Harmonics
  • Integrals
  • Kernel Functions
  • Legendre Functions
  • Security
  • Square Roots
  • Truncation

Readers

  • Graph Algorithms and Convex Optimization.
  • Regression Analysis.
  • Space Exploration and Orbital Mechanics.