Comparison of Upward Continued Anomalies Computed by the Poisson Integral and by Collocation.

Abstract

The computation of gravity anomalies at four altitudes, 6.096km, 7.010km, 9.144km and 10.670km, was carried out through the use of the standard Poisson integral, and through the use of the method of least squares collocation as implemented through a Fortran computer program written by Tscherning. In the comparison of the results the authors found (approximately) mean differences on the order of 0.5mgal, root mean square differences on the order of 10 percent. Specific values depended on how the collocation procedure was implemented and the heights involved. The computer time needed for the collocation procedure was greater than that needed for the Poisson Integral. In cases when an integral formula can be obtained for a desired quantity, the collocation process would take longer computationally. However there are many types of computations that can only be done using least squares collocation.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA016526

Entities

People

  • Richard H. Rapp
  • Sammy I. Agajelu

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Altitude
  • Computations
  • Computer Programs
  • Computers
  • Gravity
  • Gravity Anomalies
  • Integrals
  • Standards

Readers

  • Mathematics or Statistics
  • Space Exploration and Orbital Mechanics.
  • Statistical inference.