The Problem of Reducing the Formula Describing the Shape of the Earth to a Taylor Series (K Voprosu Privedeniya Formuly, Opredelyayushchei Figuru Zemli, k Ryadu Teilora)

Abstract

Molodenskiy has suggested a new method of solving his integral equation for the density of a simple layer and has obtained formulae for successive approximations of the disturbing potential on the physical surface of the earth. If the earth's physical surface on which the gravity anomalies are given is assumed to be a sphere, then the disturbing potential will be determined by Stokes' formula. This paper shows an attempt to obtain this result using the Molodenskiy method of successive approximations, and also the method of transformations by expanding the disturbing potential in a Taylor series.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1970
Accession Number
AD0723515

Entities

People

  • M. I. Marych

Organizations

  • Aeronautical Chart and Information Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Equations
  • Gravity
  • Gravity Anomalies
  • Integral Equations
  • Integrals
  • Security
  • Taylors Series
  • Translations
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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