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Computing the motion of spinning finned projectiles

Published online by Cambridge University Press:  04 July 2016

P. G. Thomasson*
Affiliation:
College of Aeronautics, Cranfield University, Bedford, UK

Abstract

The inertia characteristics of symmetrically finned projectiles are shown to be invariant of roll angle. This special property is used to derive ‘despun’ equations of motion so avoiding the rapid rates of change associated with the use of body fixed axes. By exploiting the special inertia and aerodynamic characteristics of symmetrically finned spinning projectiles it is possible to reduce the computer solution time required for long down range calculations. By combining the system with the use of quaternions for attitude determination, firings at high elevation can also be accommodated. A speed up by an order of magnitude is observed for the example of a 40mm shell.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2000 

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References

1. Dillon, R.E. Flight dynamics of fin stabilised projectiles, AIAA paper 96-0458, January 1996.Google Scholar
2. Charters, A.C. The linearized equations of motion underlying the dynamic stability of aircraft, spinning projectiles and symmetrical missiles, NACA TN 3350, 1954.Google Scholar
3. Stevens, B.L. and Lewis, F.L. Aircraft Control and Simulation, John Wiley, New York, 1992.Google Scholar
4. Maple, C.G. and Synge, J.L. Aerodynamic symmetry of projectiles, Q Applied Math, January 1949, 6, (4).Google Scholar