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Simplified Dead Reckoning on a Tortuous Path

Published online by Cambridge University Press:  28 May 2010

David Robertson*
Affiliation:
(The University of Auckland, New Zealand, Department of Physics)
*

Abstract

An approximation procedure is described, which greatly simplifies dead reckoning on a tortuous path. The journey is divided into N segments of equal length, L. The overall direction is approximately the average direction of the segments. The net distance is approximately NL[1-var(α)/2], where var(α) is the variance (in radians squared) of bearings, αi, corresponding to the segments, and must be less than 0·7. Propagation of random errors is discussed. In a case study in sub-tropical rainforest the technique gives an estimated position whose associated circle of 68% confidence has a radius of about 10% of the net distance.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2010

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References

REFERENCES

Fisher, R. A. (1953) Dispersion on a sphere. Proceedings of the Royal Society, London. Vol. A-217, pp 295305.CrossRefGoogle Scholar
Land Information New Zealand. (2006) 1:50 000 Topographical Map 260-S12, MARAMARUA. Published by Land Information New Zealand.Google Scholar
Martin, B. R. (1971) Statistics for Physicists, London: Academic Press.Google Scholar