PROBABILITY OF LOCATING A SUBMARINE WITHIN A STATED DISTANCE by use of a range-BEARING SENSOR.
SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS
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The ocean surface is considered to be a geometrical plane, and locations under the surface are points of a three-dimensional rectangular coordinate system. The general problem is to estimate the surface position beneath which a submarine is located. Estimation is based on the observed submarine range, and its observed horizontal bearing, as furnished by a range-bearing sensor that is at a determined location in the ocean. This information, combined with an often reasonable assumption about the true vertical bearing, yields an approximate estimate. The specific problem is to evaluate the probability that the true surface location of the submarine is within a stated distance of the estimated location. An approximate expression is developed for the value of this probability, subject to some assumptions and simplifications. Author
- Submarine Engineering