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APPLICATIONS OF DYNAMIC PROGRAMMING TO SPACE GUIDANCE, SATELLITES, AND TRAJECTORIES. (2005)

Abstract
The feasibility of space travel and man-made satellites has triggered a rash of interest in the determination of optimal trajectories and generally in guidance and control processes. These problems, for so long of purely mathematical and astronomical concern, have now become part of the engineering domain. The result is that there is a great demand for feasible numerical solutions of the associated analytic problems. Many of these are classically of great difficulty. As a result of the intensive study of these questions, it is now well appreciated that the classical techniques of the calculus of variations are inoperative unless the problem is rather carefully selected. The applicability is shown of a new mathematical technique, based on the theory of dynamic programming, to the computational solution of trajectory problems. Many problems, seemingly inaccessible to the conventional methods of the calculus of variations, have already been resolved. (Author). Revision of manuscript submitted 26 Feb 60. Available copy will not permit fully legible reproduction. Reproduction will be made if requested by users of DDC. Copy is available for public sale.

Publication details
Contributors RAND CORP SANTA MONICA CALIF
Repository Defense Technical Information Center OAI-PMH Repository (United States)
Keywords *OPTIMIZATION, *DYNAMIC PROGRAMMING, SPACECRAFT, ORBITS, SPACE FLIGHT, GUIDANCE, ARTIFICIAL SATELLITES, TRAJECTORIES, CALCULUS OF VARIATIONS.
Language eng