Geodesy and Geophysics in Their Interaction with Mathematics and Physics, and Some Open Problems in Geodesy

  1. George D. Garland and
  2. John R. Apel
  1. Helmut Moritz

Published Online: 21 MAR 2013

DOI: 10.1029/GM060p0001

Quo Vadimus: Geophysics for the Next Generation

Quo Vadimus: Geophysics for the Next Generation

How to Cite

Moritz, H. (1990) Geodesy and Geophysics in Their Interaction with Mathematics and Physics, and Some Open Problems in Geodesy, in Quo Vadimus: Geophysics for the Next Generation (eds G. D. Garland and J. R. Apel), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM060p0001

Author Information

  1. Institute of Theoretical Geodesy, Technical University, Graz, Austria

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1990

ISBN Information

Print ISBN: 9780875904559

Online ISBN: 9781118666586

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Keywords:

  • Geophysics;
  • Geodesy

Summary

The two questions, How can geodesy and geophysics benefit from mathematics and physics?, and conversely, How can mathematics and physics benefit from geodesy and geophysics? are posed and illustrated by some examples, reaching from Gauss' surface theory to the testing of gravitational theories. Then some concrete open problems in geodesy are formulated. Finally the question is raised whether the usual assumptions of smoothness or differentiability, e.g. concerning the earth's surface, are essential in view of the fact that features of the earth's surface have furnished some of the best illustrations of fractal theory.