Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-21T16:25:11.803Z Has data issue: false hasContentIssue false

Characterizing Cross-track Error Distributions for Continental Jet Routes

Published online by Cambridge University Press:  23 November 2009

Neil W. Polhemus
Affiliation:
(Princeton University)
Dale Livingston
Affiliation:
(US Federal Aviation Administration)

Extract

The establishment of standards for lateral separation between adjacent jet routes depends in large part on an adequate description of aircraft path-keeping ability. While it has been accepted for many years that deviations from route centreline follow a distribution which is more peaked in the core and longer tailed than the gaussian distribution which was initially assumed, the selection of an alternative distribution is still moot. Early studies of oceanic data suggested that a double exponential distribution gave a much better description of the core data. However, this distribution still appeared to underestimate the frequency of occurrence of very large errors, so that a double-double exponential distribution was proposed and is currently used for establishment of MNPS (Minimum Navigational Performance Specification) criteria for the North Atlantic organized track system. A physical rationale for the occurrence of the double-double exponential distribution has recently been derived, with suggestions for consideration of alternative formulations.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 1981

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

1Anderson, E. W. and Ellis, D. M. (1971). Error distributions in navigation. This Journal, 24, 429.Google Scholar
2International Civil Aviation Organization (1976). Proceedings, Limited North Atlantic Regional Air Navigation Meeting, Montreal (working paper no. 10).Google Scholar
3Hsu, D. A. (1979). An analysis of error distributions in navigation. This Journal, 32, 426.Google Scholar
4Reich, P. G. (1966). Analysis of long-range air traffic systems: separation standards. This Journal, 19, 88, 169, 331.Google Scholar
5U.S. Federal Aviation Administration (1970). U.S. National Aviation Standard for the VORTAC System. Department of Transportation Selection Order 1010.55, Washington, D.C.Google Scholar
6Hsu, D. A. (1979). Long-tailed distributions for position errors in navigation. Journal of the Royal Statistical Society, Series C (Applied Statistics).Google Scholar
7Box, G. E. P. and Tiao, G. C. (1973). Bayesian Inference in Statistical Analysis. Addision- Wesley, Reading, Mass.Google Scholar
8Rider, P. R. (1957). Generalized Cauchy distribution. Annals of the Institute of Statistical Mathematics Tokyo, 9, 215.Google Scholar