LINEAR SOLUTIONS OF THE GEODETIC BOUNDARY-VALUE PROBLEM

Abstract

The report is concerned with formulas for the determination of the earth's physical surface and external gravity field from free-air gravity anomalies to an approximation linear in the elevation and its derivatives. Part A considers integral equations and their linear solutions; Part B gives an elementary deduction of these solutions from the geometrically evident gradient solution; and the subject of Part C is an application to various gravity- dependent quantities and an evaluation of different solutions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0653193

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundary Value Problems
  • Coordinate Systems
  • Differential Equations
  • Differential Geometry
  • Elevation
  • Equations
  • Geometry
  • Gravity
  • Gravity Anomalies
  • Integral Equations
  • Integrals
  • Partial Differential Equations
  • Reference Ellipsoids
  • Sea Level
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

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