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On the 95 per cent Probability Circle of a Vessel's Position

Published online by Cambridge University Press:  18 January 2010

T. Hiraiwa
Affiliation:
(Hokkaido University)

Extract

If the position of a vessel be determined from two or more position lines of known accuracy, it is possible to construct an error zone about the plotted fix, such that there is some given probability (for example 95 per cent) that the true position lies inside this zone. It is convenient for many purposes, such as ease of plotting, and preparation of accuracy diagrams, that this zone should be a circle, since in this case the figure of merit attaching to a fix is defined uniquely in terms of just one parameter, the radius of the circle. The object of this paper is the theoretical study, followed by practical example, of the circular zone round a vessel's plotted position inside which it may be asserted, with 95 per cent confidence, that the true position really lies.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 1967

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References

1Jessell, A. H. and Trow, G. H. (1948). The presentation of the fixing accuracy of navigation systems. This Journal, 1, 313.Google Scholar
2Sameshima, N. (1954). Accuracy contour maps of ship's positions. This Journal, 7 , 392.Google Scholar
3Hiraiwa, T. (1916). On the error boundaries of ship's position. Jap. J. Naut., 15.Google Scholar
4Hiraiwa, T. (1958). Practical solution of error boundaries of ship's positions fixed by three position lines. Jap. J. Naut., 19.Google Scholar

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