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Formulas and tables for the deflection of the vertical

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Bulletin géodésique

An Erratum to this article was published on 01 October 1939

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References

  1. The Figure of the Earth and Isostasy from Measurements in the United States. Washington, Government Printing Office, 1909.

  2. Although Hayford in his publications on the Figure of the Earth designated these divisions of the earth’s surface as « rings », it has seemed preferable in this article to follow the more generally accepted procedure of calling them « zones ». Helmert, in fact, in the publication referred to a little later in this article, uses the two terms with distinct meanings. By a « ring » he means a division at a definite radial distance from the station with the radii of the bounding arcs differing by an infinitesimal; he uses the word « zone » in the ordinary sense of an area of finite width bounded by two concentric circles. In his later published work on the isostatic reduction of gravity, Hayford, followed by Bowie and subsequent investigators, uses the word « zone » in the same sense.

References

  1. This applies to the inner zones. For the outer zones some slight modification of the radii is needed. 2. A. R. Clarkk.Geodesy. Oxford, 1880, p. 294-299.

  2. Hayford.Supplementary Investigation in 1909 of the Figure of the Earth and Isostasy. Washington, Government Printing Office. 1910.

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  3. A table of these factors is given on p. 70 of Hayford’s earlier publication,The Figure of the Earth and Isoslasy, etc.

  4. Die isostatische Reduktion der Lotabweichungen. Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 1914. p. 440.

Reference

  1. The Figure of the Earth and Isostasy from Measurements in the United States, U. S. Coast and Geodetic Survey, 1909.

References

  1. F. A. Vening Meinesz.Proceedings Koninklijke Akademie van Wetenschapen te Amsterdam. Vol. 40, No. 8, Sept. 1987, p. 650.

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  2. B. C. Browne.M. N. R. A. S. Geophysical Supplement. Vol. 4, No. 3, Sept. 1937, p. 271.

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Reference

  1. G. Cassinis, P. Dore and S. Ballarin.Tavole fondamentale per la riduzione dei valori osservati della gravità. Pub. R. Commissione geodetica italiana, nuova série, n° 13, 1937.

Reference

  • W. D. Lambert and F. W. Darling.Tables for Determining the Form of the Geoid and its Indirect Effect on Gravity. U. S. Coast and Geodetic Survey, Special Publication No. 199, 1936.

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Authors
  1. Walter D. Lambert
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  2. Frederic W. Darling
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Additional information

1. Most of the rather laborious computations were checked by Mr. G. F. Winslow. Mr. J. A. Duerksen and Mr. G. A. Whitten made a final verification of the integrations, checked some of the computations and helped to read the proof. The authors thank them for their valuable assistance.

An erratum to this article is available at http://dx.doi.org/10.1007/BF03031743.

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Lambert, W.D., Darling, F.W. Formulas and tables for the deflection of the vertical. Bull. Géodésique 57, 29–71 (1938). https://doi.org/10.1007/BF03029856

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