The Operational Approach to Physical Geodesy.

Abstract

The operational approach to physical geodesy starts from the measurements and asks how they can be used in the best way to determine the earth's figure and gravitational field. All measurements can be represented as nonlinear functionals of the potential and of systematic parameters such as station coordinates. After linearization we obtain an improperly posed problem, to which three standard methods of solving such problems are applied: a change in the solution space, a variational principle according to Tichonov, and a statistical approach. All three approaches seem to converge on collocation with kernel functions and least-squares collocation. Some alternatives are also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA063887

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Artificial Satellites
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Functional Analysis
  • Geodesy
  • Gravitational Fields
  • Hilbert Space
  • Kernel Functions
  • Probability
  • Real Numbers
  • Stochastic Processes
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Geodesy

Technology Areas

  • Space