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The Construction of Hyperbolic Lattices

Published online by Cambridge University Press:  18 January 2010

D. H. Sadler
D. H. Sadler
Affiliation:
(H.M. Nautical Almanac Office)
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Extract

A common feature of all systems of hyperbolic navigation (such as Gee, Loran and Decca) is the necessity of interpreting the instrumental readings of lattice coordinates and of transforming them into position—either directly into latitude and longitude or relative to neighbouring geographical features. Several methods are in use: elaborate tables giving latitude and longitude in terms of the lattice coordinates are published for use with Loran; chartlets, on a special projection, are available for certain routes on the Decca system; but the most generally useful form of interpretation, combining both presentations, is the latticed chart. This paper is concerned solely with the construction of such charts. Although formulae and examples are given, details of the computing techniques are deliberately omitted; it is hoped to issue a fuller account with the tables that have been prepared for the use of this method.

Type
Research Article
Information
The Journal of Navigation , Volume 4 , Issue 3 , July 1951 , pp. 237 - 247
Copyright
Copyright © The Royal Institute of Navigation 1951

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References

REFERENCES

1 Loran tables published by the U.S. Hydrographic Office.Google Scholar
2 See Fennessy, E.Hyperbolic projections, this Journal, Vol. 2, No. 3, p. 227, July 1949.Google Scholar
3 For accurate formulae see Rainsford, H. F. (1949). Long lines on the Earth: various formulae, Empire Surrey Review, Vol. X, No. 71, p. 18, 1949.Google Scholar
4International Hydrographic Review, Vol. XXVI, No. 1, p. 41, 1949.Google Scholar
5 See for instance International Hydrographic Review, Vol. XXVI, No. 2, p. 42, 1949.Google Scholar
6Hugon, P. (1950). Note sur une représentation rectiligne des hyperboles sphériques, Publications Scientifiques et Techniques du Ministère de l'Air, No. 38.Google Scholar
7 Ordnance Survey. Constants, Formulae and Methods used in the Transverse Mercator Projection, H.M. Stationery Office, 1950.Google Scholar
8 See for instance this Journal, Vol. 3, Collins, O. C., No. 2, p. 107, April 1950 and May, W. E., No. 4, p. 416, October 1950.Google Scholar