Bulletin Géodésique (1946-1975)

, Volume 93, Issue 1, pp 307–319 | Cite as

Applications of Hotine’s “Mathematical Geodesy”

To the memory of Martin Hotine (June 17, 1898–November 12, 1968)
  • B. H. Chovitz
Article

Abstract

A complete recasting of the principles of geodesy on a rigorous and unified foundation has been set forth by Hotine in his forthcoming book “Mathematical Geodesy”. The basic idea is that all geodetic measurements and concepts can be most conveniently expressed in suitable three-dimensional coordinate systems. Examples of the generality and simplicity of the method are presented.

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References

  1. [1]
    M. HOTINE: “Mathematical Geodesy” U.S. Government Printing Office (to be published September, 1969).Google Scholar
  2. [2]
    M. HOTINE: “The Adjustment of Triangulation in Space” (unpublished).Google Scholar
  3. [3]
    M. HOTINE: “Metrical Properties of the Earth’s Gravitational Field” presented to XIth I.U.G.G. Assembly, 1957.Google Scholar
  4. [4]
    M. HOTINE: “Geodetic Coordinate Systems”, presented to XIth I.U.G.G. Assembly, 1957.Google Scholar
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    M. HOTINE: “A Primer of Non-Classical Geodesy”, presented to1st Symposium on Three-Dimensional Geodesy, 1959.Google Scholar
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    M. HOTINE: “Geodetic Applications of Conformal Transformations in Three Dimensions”, Bulletin Geodesique, No. 80, 1966.Google Scholar
  7. [7]
    M. HOTINE: “Triply Orthogonal Coordinate Systems”, Bulletin Geodesique, No. 81, 1966.Google Scholar
  8. [8]
    L. EISENHART: “An Introduction to Differential Geometry”, Princeton, 1947.Google Scholar
  9. [9]
    A. McCONNELL: “Applications of Tensor Analysis”, reprinted by Dover, 1957.Google Scholar
  10. [10]
    B. CHOVITZ: “Classification of Map Projections in Terms of the Metric Tensor to the Second Order”, Bollettino di Geodesia, XI, 4, 1952.Google Scholar
  11. [11]
    T. LEVI-CIVITA: “The Absolute Differential Calculus”, Blackie, 1926.Google Scholar

Copyright information

© Bureau Central de L’Association Internationale de Géodésie 1969

Authors and Affiliations

  • B. H. Chovitz
    • 1
  1. 1.U.S. Coast and Geodetic SurveyEnvironmental Science Services AdministrationRockville

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