REMARKS CONCERNING I. F. MONIN'S SHORT COMMUNICATION ON CALCULATING DEFLECTIONS OF THE VERTICAL.

Abstract

It is demonstrated that the method proposed by I. F. Monin (Astronomicheskiy zhurnal (Astronomical Journal). 1963, XL, No. 1, pp. 179-183) is not applicable to practical use. It is further shown that the first and the second methods of Molodensky (Trudy TsNIIGAiK (Transactions of the Central Scientific-Research Institute of Geodesy, Aerial Surveying, and Cartography), 1949, issue 68, 5-11, and 1960, issue 131) of numerical solution of his integral equation for density of a single layer substituted for the attraction of anomalous masses in the interior of the Earth promptly lead to a higher accuracy than that of the Stokes' theory applied to the real Earth. The results of calculations carried out (Trudy TsNIIGAiK, 1950, issue 75, 11-77, and 1954, issue 103, 65-117) by Yeremeyev and Yurkina in accordance with the first of these methods are also much more accurate as compared with the Stokes' approximation, and are in fact near the correct values. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0637537

Entities

People

  • M. I. Yurkina
  • V. F. Eremeev

Organizations

  • Aeronautical Chart and Information Center

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Cartography
  • Deflection
  • Equations
  • Integral Equations
  • Integrals
  • Scientific Research

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Political Science/ International Relations/ European Studies