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Dynamic Problems of Interplanetary Flight

Published online by Cambridge University Press:  07 June 2016

Derek F. Lawden*
Affiliation:
College of Technology, Birmingham
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Summary

The solution to the general problem of transferring a rocket between two terminals in space with minimum fuel expenditure is explained and the results obtained when application is made to a number of particular problems of space navigation are described. The mathematical techniques which may usefully be employed in the calculation of optimum rocket trajectories are exemplified by a method of solving the problem of obtaining maximum range from a rocket missile over the Earth's surface.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1955

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References

1. Lawden, D. F. Minimal Rocket Trajectories. Journal of the American Rocket Society, Vol. 23, No. 6, p. 360, November-December 1953.Google Scholar
2. Lawden, D. F. Stationary Rocket Trajectories. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 7, No. 4, p. 488, December 1954.Google Scholar
3. Hohmann, W. Die Erreichbarkeit der Himmelskörper, Munich, Oldenbourg, 1925.Google Scholar
4. Lawden, D. F. Inter-Orbital Transfer of a Rocket. Annual Report of the British Inter planetary Society, 1951-2, p. 321, November 1952.Google Scholar
5. Lawden, D. F. Fundamentals of Space Navigation. Journal of the British Interplanetary Society, Vol. 13, No. 2, p. 87, March 1954.Google Scholar
6. Lawden, D. F. Optimal Transfer between Circular Orbits about Two Planets. Astronautica Acta (to be published).Google Scholar
7. Oberth, H. Wege zur Raumschiffahrt, Part II, Chapter 12, Munich, Oldenbourg, 1929.Google Scholar
8. Lawden, D. F. Escape to Infinity from Circular Orbits. Journal of the British Inter planetary Society, Vol. 12, No. 2, p. 68, March 1953.Google Scholar
9. Lawden, D. F. Entry into Circular Orbits—2. Journal of the British Interplanetary Society, Vol. 13, No. 1, p. 27, January 1954.Google Scholar
10. Lawden, D. F. Optimal Programming of Rocket Thrust Direction. Astronautica Acta, Vol. 1, No. 1, p. 41, January 1954.Google Scholar
11. Lawden, D. F. Perturbation Manoeuvres. Journal of the British Interplanetary Society, Vol. 13, No. 6, p. 329, November 1954.Google Scholar
12. Tsien, H. S. and Evans, R. C. Optimum Thrust Programming for a Sounding Rocket. Journal of the American Rocket Society, Vol. 21, No. 5, p. 99, September 1951.Google Scholar
13. Lawden, D. F. Optimum Launching of a Rocket into an Orbit about the Earth. (To be published.)Google Scholar
14. Poole, E. G. C. Linear Differential Equations, Chapter I, p. 8, Oxford, 1936.Google Scholar
15. Lawden, D. F. Initial Arc of the Trajectory of Departure. Journal of the British Inter planetary Society, Vol. 7, No. 3, p. 119, May 1948.Google Scholar
16. Kooy, J. M. J. and Uytenbogaart, J. W. H. Ballistics of the Future, Chapter II, p. 384. Haarlem, Technical Publishing Co., 1946.Google Scholar