Appendix 2: Submarine ASW Interactions

Abstract

To model the first factor, Washburn’s barrier was used as a search model. According to this model, an asset at a barrier against an intruder travels at speed U and executes a path optimised to cover as much of its sector as possible in a single circuit, while minimising wasteful coverage outside the search area. This is an idealisation, and not entirely representative of reality. Assuming a target, such as a submarine, is moving towards the barrier at velocity V, the relative motion of the searcher and evader is given by