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Damage to a Circular Target by a Gaussian Distributed Warhead with Uniformly Distributed Bomblets

Author

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  • M. P. Jarnagin

    (U. S. Naval Weapons Laboratory, Dahlgren, Virginia)

  • A. R. DiDonato

    (U. S. Naval Weapons Laboratory, Dahlgren, Virginia)

Abstract

A derivation is given for an analytic expression representing the expected damage to a circular target of uniform value by a cluster of N bomblets. These bomblets are scattered by the detonation of a larger bomb. Each is considered to have a circular lethal area of specified radius, the same radius for all bomblets. The impact point of the large bomb is governed by a circular normal distribution with its mean at the target center. The bomblets are assumed to be independently dispersed under a uniform distribution over a prespecified circular area, known as the warhead-effects field, having its center at the impact point of the large bomb. Typical graphical results are included.

Suggested Citation

  • M. P. Jarnagin & A. R. DiDonato, 1966. "Damage to a Circular Target by a Gaussian Distributed Warhead with Uniformly Distributed Bomblets," Operations Research, INFORMS, vol. 14(6), pages 1014-1023, December.
    • Handle: RePEc:inm:oropre:v:14:y:1966:i:6:p:1014-1023
    DOI: 10.1287/opre.14.6.1014
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