Geodetic Gravimetry,

Abstract

The fundamental problems of geodetic gravimetry are presented beginning with a short historical sketch on the development of the earth-figure theory. Discussions include theory of the potential, Gauss's formulas, Green's transformations, the solution of the Direchlet problem for the sphere and Poisson's integral. Spherical functions and harmonics are taken into consideration. Stokes problem and the theory of the earth's physical surface are discussed. The solution of Molodenskiy's integral equation is given in two variations. General concepts on three possible constructions of the theory of the earth's physical surface are provided. The theoyr of orthometric, normal and dynamic heights is presented in detail. A detailed description is given of the computation process of astrogeodetic deflections of the vertical. The theory and practice of gravimetric determinations and their processing are explained. Land and sea gravimetric measurements are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1972
Accession Number
AD0748527

Entities

People

  • N. P. Makarov

Tags

DTIC Thesaurus Topics

  • Computations
  • Construction
  • Deflection
  • Equations
  • Gravimetry
  • Harmonics
  • Integral Equations
  • Integrals
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Geodesy