Hmm... OK you said in step 11.2 that I need to move my sub to a new position. But my sub won't go but 9 knots while submerged. How did you go faster than the target to overtake it even a little. And you calculated the target was moving 10 knots. Now what?
I think I'll stick with my approach.
Target detected at 0.00 (180 due south). Wait a couple of minutes and get bearing from sonar guy again. Notice it increased to 2. Turn sub to heading 270 speed set to full and wait 2 minutes. What is target bearing doing? I'm at 6 knots bearing holding steady at my 272. Steady as she goes for 5 minutes. New bearing, target at 270. Hold course and verify target is getting louder. If not, give up or run around it on surface. If it is getting closer, I'm already on intercept course (based on your example heading and speed). When target gets real close I use periscope to get set up for shot. If target was falling behind some then I slow and stop as bearing stops decreasing (I'm in front of it).
No fuss, no muss. And no lines and circles.
And, the main benefit. I don't have to race it. As I have put my sub in front of the target much earlier.
Granted, I won't be able to pull the trigger on the target WITHOUT using the scope. Your method might actually have a decent chance of finding bearing and speed and allow you to prepare a shot without ever seeing the target. Which I guess is needed in heavy rain and fog. But like I said, if I had to use your method in that example given, I'd never be able to overtake the target at step 11.2 to get set up for the shot.
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