Topological Foundations of the Marussi-Hotline Approach to Geodesy

Abstract

The usual formulation of the Hotline-Marussi approach to geodesy is essentially formal in character and makes no attempt to make precise the conditions under which the calculations are valid or address questions of existence and uniqueness. In the present paper we attempt to remedy this by translating various mathematical and physical requirements into topological assumptions. Topological methods are employed to study the family of equipotential surfaces (SIGMA) of the Earth's external gravity field. Keywords: Marussi-Hotline approach; Differential geodesy; Topological foundations; Equipotential surfaces; Geodesy; Earth sciences.

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Document Details

Document Type
Technical Report
Publication Date
Oct 03, 1989
Accession Number
ADA218852

Entities

People

  • J. D. Zund

Organizations

  • New Mexico State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Cartesian Coordinates
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Earth Sciences
  • Equations
  • Geodesy
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Numbers
  • Personality
  • Three Dimensional
  • Topology

Readers

  • Calculus or Mathematical Analysis
  • Geodesy
  • Organizational Process Management (OPM).