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>or=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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    Title :

    Closed-form solution of pure proportional navigation


    Contributors:
    Becker, K. (author)


    Publication date :

    1990-05-01


    Size :

    530205 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    The closed-form solution of generalized proportional navigation

    YANG, CIANN-DONG / YEH, FANG-BO / CHEN, JEN-HENG | AIAA | 1987