ON A SOLUTION OF M.S. MOLODENSKIY'S INTEGRAL EQUATION FOR THE DETERMINATION OF THE FORM OF THE TOPOGRAPHICAL EARTH SURFACE (PRO ODIN ROZV'YAZOK INTEGRAL'NOGO RIVNYANNYA M.S. MOLODEN'SKOGO, SHCHO VIZNACHAE FORMU TOPOGRAFICHNOY POVERKHNI ZEMLI).

Abstract

In this paper the solution of M.S. Molodenskiy's equation is given by means of the method of successive approximations. In the first approximation the relief of the earth will not be taken into consideration. In the second approximation we take into account the normal elevation of the first order, and in the third the normal elevation of the first and second order and so forth. The derived formulae coincide with M.S. Molodenskiy's formulae, which were derived by him by means of an entirely different method. It has been proved that the formulae are reliable only for an angle of inclination of the topographical surface of the earth alpha less than 45 deg.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0809592

Entities

People

  • I. F. Monin

Organizations

  • Aeronautical Chart and Information Center

Tags

DTIC Thesaurus Topics

  • Elevation
  • Equations
  • Integral Equations
  • Integrals

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  • Calculus or Mathematical Analysis
  • Geodesy
  • Information Retrieval