Topological Foundations of the Marussi-Hotline Approach to Geodesy
SCIENTIFIC rept. 1
NEW MEXICO STATE UNIV LAS CRUCES DEPT OF MATHEMATICAL SCIENCES
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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 Earths external gravity field. Keywords Marussi-Hotline approach Differential geodesy Topological foundations Equipotential surfaces Geodesy Earth sciences.