MINIMIZING THE APPROACH TIME OF AN SSK TO ITS TARGET
Abstract
Killer submarine A detects an enemy submarine B moving with a uniform velocity, v knots. The submarine A wants to place himself at a position h miles directly ahead of B as quickly as possible, but is constrained not to exceed a speed f(r), where r is the range between A and B, so as to keep the probability of B's hearing A down to a fixed level. (The faster A moves, the noisier he is.) We suppose that A knows the required function f(r). Find the path that minimizes A's approach time. The differential equations that describe the path, are described and their computer solution is indicated. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 13, 1962
- Accession Number
- AD0284796
Entities
People
- Joseph Bram
Organizations
- Center for Naval Analyses