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Underwater robotics addresses the problem of object detection apparatus.Offers a probabilistic formulation of the problem, which uses the reduction ofthe detection task to a classical task of Buffon. This formulation arisesnaturally in the formulation of the problem in the coordinate system associatedwith the apparatus. It is shown that the problem allows analysis in thepresence of an asymptotic parameter, determined by the ratio of the local scansize of the apparatus to the global size of the problem under consideration.

Probability of detection of an extraneous mobile object by autonomous unmanned underwater vehicles as a solution of the Buffon problem