Conformal Geometry, Hotine's Conjecture, and Differential Geodesy.

Abstract

This report, is based on the Ph.D. dissertation of Wayne Moore, together with a supplement describing details of our recent resolution of Hotine's Conjecture, is a more comprehensive version of a paper of ours which will appear in Bulletion Geodesique. It includes a detailed development of conformal geometry which is more complete than that given in Chapter 10 of Martin Hotine's Mathematical Geodesy (1969), and numerous technical aspects of Hotine's work on his conjecture. It is hoped that this report will be helpful to mathematical geodesists who wish to further explore the contributions of Hotine and Marussi to differential geodesy. Keywords: Tensor analysis, Conformal mapping.

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Document Details

Document Type
Technical Report
Publication Date
Jul 27, 1987
Accession Number
ADA189265

Entities

People

  • Joseph D. Zund
  • Wayne A. Moore

Organizations

  • New Mexico State University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Complex Variables
  • Conformal Mapping
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Earth Sciences
  • Equations
  • Geometric Forms
  • Geometry
  • Geophysics
  • Lines (Geometry)
  • Materials
  • Tensor Analysis
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computer Engineering
  • Geodesy