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Optimal flight paths for winged, supersonicflight vehicles — extension to the case where thrust can be vectored

Published online by Cambridge University Press:  04 July 2016

Extract

The theory of optimal flight paths goes back to 1951, when Tsien and Evans found the optimal thrust program for a vertically ascending sounding rocket. Hibbs, in 1952, solved the problem of the optimal burning program for horizontal flight of a winged, rocket propelled vehicle. Miele has carried out much work in this field, mostly using*the assumption of constant thrust, and working without the aid of a digital computer, (which is necessary to achieve results). Reference 3 gives a summary of early work in this field.

Recently, the problem of optimal climb paths of a ballistic rocket, away from the vertical, has been shown in Ref. 4 to have a simple analytic solution. The problem of a winged supersonic rocket missile, assuming the thrust acts along flight path, has been solved in Ref. 5.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1981 

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References

1. Tsien, H. S. and Evans, R. C. Optimum Thrust Programming for a Sounding Rocket, ARS Journal 21, No 5,1951.Google Scholar
2. Hibbs, Albert R. Optimum Burning Program for Horizontal Flight, ARS Journal 22, No 4,1952.Google Scholar
3. Leitman, G. (Ed). Optimisation Techniques — with Application to Aerospace Systems, Academic Press, 1962.Google Scholar
4. Large, E. Optimal Climb Paths for a Ballistic Rocket within the Atmosphere, AIAA Journal of Spacecraft and Rockets, Volume 16. No 4, July-August 1979.Google Scholar
5. Large, E. Optimal Flight Paths for a Winged, Supersonic Rocket Vehicle, Aeronautical Journal of the Royal Aeronautical Society, December 1978.Google Scholar