ON THE NUMERICAL SOLUTION OF THE GRAVIMETRICAL INTEGRAL EQUATION OF BJERHAMMAR.

Abstract

In this report an analysis is made of the different mathematical problems arising in practical applications of the new gravity reduction theory of Bjerhammar. The body of the report is to a great extent concentrated upon the solution of the basic integral equation of the theory. Different methods of solutions developed by A. Bjerhammar and W. Foerstner are discussed. An improvement of the methods are suggested, which makes it possible to introduce a great number of unknown coefficients in the linearized equations without being forced to increase the order of the approximating polynomials. The transformation of the integral equation from the sphere to the plane is analyzed in detail. Finally, new formulas are derived, making it possible to integrate the so-called x- and y-parameters for an arbitrary location of the actual point of computation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0820743

Entities

People

  • B. G. Reit

Organizations

  • Royal Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Computations
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.