KINEMATICAL GEODESY

Abstract

With the use of moving instruments, such as airborne gravimeters, which are often related to precise inertial stabilization systems, the essentially statical character of geodesy begins to be enlarged by kinematical features. The potential of gravity, combining gravitational attraction and centrifugal force, is no longer adequate for kinematics, but other inertial forces of Coriolis type must also be considered. The main purpose of the present paper is an investigation of the geodetic aspects of the interrelation of gravitational and inertial forces and their separation by means of structural differences in their respective fields. For a deeper insight, the general theory of relativity is indispensable; it also furnishes convenient mathematical techniques. The extraction of purely gravitational effects is possible with second and third derivatives of the potential; therefore geodetic applications of these quantities are discussed, integral formulas similar to Stokes' integral being given for this purpose.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0666052

Entities

People

  • Helmut Moritz

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Artificial Satellites
  • Cartesian Coordinates
  • Centrifugal Force
  • Coordinate Systems
  • Differential Equations
  • General Relativity
  • Gravitational Fields
  • Gravity
  • Inertial Navigation
  • Inertial Navigation Systems
  • Measuring Instruments
  • Molecular Mechanics Methods
  • Physics
  • Relativity Theory
  • Special Relativity

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Theoretical Analysis.