PARAMETRIC FORMULAS FOR GEODESIC CURVES AND DISTANCES ON A SLIGHTLY OBLATE EARTH

Abstract

Approximate expressions for geodesic curves and the geodesic arc-lengths are obtained by straight forward methods which permit upper bounds of error to be established analytically. The errors are typically less than 1.4 parts per million, and even higher accuracy is possible with additional corrections. Selected numerical examples are given, and calculated arc-lengths are compared with values obtained with Andoyer's approximate formula.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0412501

Entities

People

  • E. A. Lewis

Organizations

  • Air Force Cambridge Research Laboratories

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Calculus Of Variations
  • Cartesian Coordinates
  • Computers
  • Differential Equations
  • Equations
  • Errors
  • Government Procurement
  • Governments
  • Grids
  • Integrals
  • Latitude
  • Longitude
  • Rational Numbers
  • Southern Hemisphere
  • United States

Readers

  • Approximation Theory.
  • Fluid Dynamics.