DEFLECTIONS OF THE VERTICAL CAUSED BY TOPOGRAPHIC MASSES IN THE NEAREST NEIGHBORHOOD OF THE POINT.

Abstract

As known, the deflections of the vertical can be computed by the formulas of Vening Meinesz. Although one has to know the gravity over the whole earth, the influence of the nearest neighborhood of the computation point is the greatest. So, it is very important that a dense gravity survey be carried out around the point. However, this is not always possible, especially in mountainous areas. In that case, it is best to compute the influence of the nearest neighborhood from the topography. In this paper is investigated the order of magnitude of the influence of nearby topography on the deflections of the vertical. The influence is computed for several points for an area with a radius of about 5 km around the point. This shows that the influence of the nearest neighborhood can reach considerable amounts and may never be neglected in mountainous areas. Further formulas are derived for the influence of the central zone on the deflections, assuming that the point lies on a slope. In the last chapter some models are studied in order to get a more general insight about the deflections caused by topography. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0600670

Entities

People

  • G. L. Strang Van Hees

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Computations
  • Deflection
  • Lepidoptera
  • Topography

Readers

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