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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])
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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

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References

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