Evaluation of 14th-Order Harmonics in the Geopotential.

Abstract

The Earth's gravitational potential is now usually expressed in terms of a double series of tesseral harmonics with several hundred terms, up to order and degree at least 20. The harmonics of order 14 can be evaluated by analysing changes in satellite orbits which experience 14th-order resonance, when the track over the Earth repeats after 14 revolutions. This report describes the first evaluation of individual 14th-order coefficients in the geopotential from analysis of the variations in inclination and eccentricity of satellite orbits passing through 14th-order resonance under the action of air drag. Results from eleven satellites show values for eighteen normalized coefficients of harmonics of order 14 and degree 14, 15 ....22. These values provide a test of the accuracy of the 14th-order coefficients in comprehensive geoid models. Detailed comparisons with three recent models are made, showing good agreement on some coefficients and discrepances on others.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1978
Accession Number
ADA058810

Entities

People

  • Desmond King-Hele
  • Doreen Walker
  • Robert H. Gooding

Organizations

  • Royal Aircraft Establishment

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Agreements
  • Artificial Satellites
  • Celestial Mechanics
  • Coefficients
  • Computer Programs
  • Databases
  • Drag
  • Earth Models
  • Earth Sciences
  • Geodesy
  • Geoids
  • Models
  • Orbital Inclination
  • Orbits
  • Satellite Orbits
  • Space Flight

Fields of Study

  • Physics

Readers

  • Business Analytics
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris