Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-16T13:21:51.100Z Has data issue: false hasContentIssue false
  • English
  • Français

Simplified Dead Reckoning on a Tortuous Path

Published online by Cambridge University Press:  28 May 2010

David Robertson
David Robertson*
Affiliation:
(The University of Auckland, New Zealand, Department of Physics)
*
(Email: [email protected])
Get access Rights & Permissions [Opens in a new window]

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.

Keywords

Dead ReckoningApproximationError analysisLoss-of-lock
Type
Research Article
Information
The Journal of Navigation , Volume 63 , Issue 3 , July 2010 , pp. 379 - 394
Copyright
Copyright © The Royal Institute of Navigation 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Fisher, R. A. (1953) Dispersion on a sphere. Proceedings of the Royal Society, London. Vol. A-217, pp 295–305.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