Analysis of Deflection-of-the-Vertical Inner-Zone Methods.

Abstract

In the Vening Meinesz method of computing deflection of the vertical, the effect of the region surrounding the computation point (termed the inner zone) is usually determined by some special algorithm. A new method based on the representation of gravity anomalies by a sequence of discrete bicubic surfaces and the integration of these surfaces by the flat-earth approximation is given and compared with three existing inner-zone techniques. These techniques, designed for mean-anomaly cells in the shape of trapezoids are (1) two applications of Fischer's method termed Fischer IZN1 for an inner zone with area of about 4 sq nm, and Fischer IZN2 for an inner-zone with area of about 16 sq nm (2) the standard method, in which the inner-zone cells are treated by the Vening Meinesz formula and (3) the rim method in which the deflection effect of the cells surrounding the inner zone is multiplied by a constant. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1974
Accession Number
AD0776225

Entities

People

  • Angelo L. Kontis
  • Rudolph R. Michlik
  • Thomas M. Davis

Organizations

  • Naval Oceanographic Office

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computations
  • Deflection
  • Gravity
  • Gravity Anomalies
  • Mathematical Analysis
  • Mathematics
  • Sequences

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Solar Physics