Military Operations Research, 6(4), 2001, pp. 19-30.The Flaming Datum problem is one of relocating an enemy target that is fleeing after momentarily reveling its position. A diesel submarine faces this problem after attacking a ship, since the ship creates a visible marker of where the submarine must once have been. The tactical problem has been studied before under the assumption that the submarine's motion is constrained only by a top speed. Here we add the constraint that the battery's capacity is also finite. The problem is bounded rather than solved. Techniques used include two-person zero-sum game theory and optimal control theory
