APPLICATION OF FIRST APPROXIMATION FORMULAE FOR THE COMPUTATION OF CHARACTERISTICS OF THE EARTH'S GRAVATIONAL FIELD,

Abstract

The methods for numerical calculation of the earth's gravitational field characteristics are considered according to Molodensky's first approximation formulas. In the cases where the mean values of gravity anomalies and G sub 1 corrections obtained for some areas can be used, it is recommended to determine the mean values of G sub 1 omitting the determination of their point values. When the radius of the averaging area is larger than 20km it is practical to use, instead of G sub 1 much smaller and more stable G' corrections (see formula 10). When free air anomalies are used, then the mean values of these corrections are close to the mean values of terrain reduction. The method is considered for the combined calculation of the mean values of delta g and G' from the data of the correlation analysis of the gravity anomalies and the heights of the earth's physical surface. It is recommended to eliminate the constant part from the anomalies when the effect of the nearest areas on the quasigeoidal heights and plumb-line is calculated. A rough evaluation of the mean values of the G sub 2 and G sub 3 corrections is made for large areas. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0634930

Entities

People

  • L. P. Pellinen

Organizations

  • Aeronautical Chart and Information Center

Tags

DTIC Thesaurus Topics

  • Computations
  • Correlation Analysis
  • Data Science
  • Gravitational Fields
  • Gravity
  • Gravity Anomalies
  • Information Science
  • Mathematical Analysis
  • Test And Evaluation

Fields of Study

  • Physics

Readers

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