Some Simple Methods for the Unique Assignment of a Density Distribution to a Harmonic Function,

Abstract

One to one relationships are established between functions harmonic outside a sphere and density functions (1) with support equal to the sphere and (2) having the property that the density functions rho, multiplied by a positive function of the distance from the center of the sphere, are harmonic. The derived relations may be used to assign a density distribution to the harmonic part of the potential of the Earth, and a covariance function of a density anomaly distribution to the covariance function of the anomalous potential of the Earth.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
ADA006026

Entities

People

  • C. C. Tscherning

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Space Exploration and Orbital Mechanics.
  • Statistical inference.