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Closed-form solution of pure proportional navigation

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1 Author(s)
Becker, K. ; Forschungsinst. fuer Funk & Math., Wachtberg-Werthhoven, West Germany

The closed-form solution of the equations of motion of an ideal missile pursuing a nonmaneuvering target according to the pure proportional navigation law is obtained as a function of the polar coordinates for all real navigation constants N⩾2. The solution is given in the form of a uniformly convergent infinite product which reduces to a product of a finite number of factors if the navigation constant is a rational number. The solution is discussed, and necessary and sufficient conditions are stated for vanishing, bounded, and unbounded missile acceleration in the final phase of pursuit

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:26 ,  Issue: 3 )