Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-28T04:31:48.598Z Has data issue: false hasContentIssue false

A Study of a Species of Short-Method Table

Published online by Cambridge University Press:  18 January 2010

Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper discusses navigation tables based on the decomposition of the astronomical triangle into two right-angled spherical triangles by a great circle arc extending from the zenith to the meridian of an observed celestial body. In a recent fairly comprehensive study of some thirty short-method tables in which the division of the PZX-triangle forms the principle of construction, nineteen are of the species to be discussed.

Following the introduction in 1871 of the first short-method table by Thomson, some twenty years were to pass before any real advance was made in this field. Thomson's table was in fact re-issued by Kortazzi in 1880 and by Collet in 1891, in modified forms, but it was Professor F. Souillagouët of France who is to be credited for introducing something novel and decidedly better than Thomson's table. Unlike the earlier ones it was designed specifically for the Marcq Saint Hilaire method of sight reduction and, in contrast to Thomson's table which was based on the division of the PZX-triangle by a perpendicular from X, Souillagouët's was based on division by a perpendicular from Z.

Type
Forum
Copyright
Copyright © The Royal Institute of Navigation 1974

References

REFERENCES

1Souillagouët, F. (1891). Tables du Point Auxiliaire pour trouver rapidement la Hauteur et l'Azimut Estimés. Toulouse (Second Edition, 1900).Google Scholar
2Delafon, R. (1893). Méthode Rapide pour Déterminer Les Droites & Les Courbes de Hauteur et faire le Point. Paris.Google Scholar
3Bertin, C. (1919). Tablette de Point Spherique, sans Logarithmcs. Paris (Second edition, 1929).Google Scholar
4Ogura, S. (1920). Sin Kô;do Hôi Kaku Hyô (New Altitude and Azimuth Tables). Tokyo.Google Scholar
5Ogura, S. (1924). New Alt-Azimuth Tables between 65° N and 65° S. For the Determination of the Position-line at Sea. Tokyo.Google Scholar
6Goodwin, H. B. (1921). A New ‘Wrinkle‘ in Navigation from Japan. The Nautical Magazine. 106. Glasgow.Google Scholar
7Norie, J. W. (1924). A Complete Set of Nautical Tables… re-arranged by a Committee of Experts. London.Google Scholar
8Arimitsi, T. I. (1921). ‘Neo-Neo’ Altitude and Azimuth Tables. Tokyo.Google Scholar
9Smart, W. M., and Shearme, F. N. (1922). Position Line Tables (Sine Method). London.Google Scholar
10Newton, I. A., and Pinto, J. C. (1924). Navegaçāo Modcrna. Lisbon.Google Scholar
11Weems, P. V. H. (1927). Line of Position Book. A Short and Accurate Method using Ogura's Tables and Rust's Modified Azimuth Diagram. Annapolis.Google Scholar
12Dreisonstok, J. Y. (1928). Navigation Tables for Mariners and Aviators. Washington.Google Scholar
13Gingrich, J. E. (1931). Aerial and Marine Navigation Tables. New York and London.Google Scholar
14Pinto, J. C. (1933). ‘Simplex’ Taboas de Navegaçāo e Aviaçāo. Faial, Azores.Google Scholar
15Anon, . (1937). F-Tafel: Tafel zur vereinfacten Berechnung von Höhenstandlinien. Hamburg.Google Scholar
16Comrie, L. J. (1938). Hughes' Tables for Sea and Air Navigation. London.Google Scholar
17Myerscough, W. M. and Hamilton, W. (1939). Rapid Navigation Tables. London.Google Scholar
18Radler De., Aquino F. (1943). ‘Universal’ Nautical and Aeronautical Tables. Rio de Janeiro.Google Scholar
19Cotter, C. H. (1973). Aquino's Short-method Tables. This Journal, 26, 152.Google Scholar
20Benest, E. E., and Timberlake, E. M. (1945). Navigation Tables for the Common Tangent Method. Cambridge.Google Scholar
21Lieuwen, J. C. (1949). Kortbestek Tafel. Den Haag.Google Scholar
22Lieuwen, J. C. (1953). Record Tables. Rotterdam.Google Scholar
23Cotter, C. H. (1972). Sir William Thomson and the Intercept Method. This Journal, 25, 91.Google Scholar