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The Avoidance of Collisions for Newtonian Bodies with Hidden Variables

Published online by Cambridge University Press:  21 October 2009

B. D. Bramson
B. D. Bramson
Affiliation:
(Defence Research Agency RSRE Malvern)
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Abstract

The collision avoidance of a pair of uniformly moving bodies is considered in three dimensions. The relative motion of the bodies yields an expression relating the time to closest approach, the minimum range, the current range and its rate of change, other variables being unobservable. A Boolean relation is then proposed that is satisfied whenever the minimum range and time to closest approach simultaneously fall below given thresholds. The relation is further studied, in particular with regard to the issue of false and premature alarms. An airborne collision avoidance system is a possible application.

Keywords

1. Collision avoidance2. Air traffic control3. Aircraft operations
Type
Research Article
Information
The Journal of Navigation , Volume 45 , Issue 1 , January 1992 , pp. 52 - 59
Copyright
Copyright © The Royal Institute of Navigation 1992

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References

REFERENCES

1Ford, R. L. (1986). The protected volume of airspace generated by an airborne collision avoidance system. This Journal, 39, 139.Google Scholar
2Ford, R. L. & Powell, D. L. (1990). A new threat detection criterion for airborne collision avoidance systems. This Journal, 43, 391.Google Scholar