Least-Squares Collocation as a Gravitational Inverse Problem.

Abstract

The report compares least-squares collocation methods for determining the earth's gravitational field with geophysical inversion techniques. Both are underdetermined problems with strong structural similarities. Collocation is also considered from the point of view of representing the external gravitational field by means of analytic functions. Finally, the conceptual basis of least-squares collocation is briefly discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA037008

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Covariance
  • Equations
  • Geodesics
  • Geodesy
  • Geophysics
  • Gravitational Fields
  • Gravity
  • Inverse Problems
  • Kernel Functions
  • Measurement
  • New York
  • Random Variables
  • Spherical Harmonics
  • Statistical Analysis
  • Stochastic Processes

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Space Exploration and Orbital Mechanics.