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Originally Posted by sublynx
Thanks again for vigilance and effort LemonA and Pisces. However you got me confused now - is the method really workable at all or is it all wrong?
If you have the time it would be great if you posted a step by step on the method to make it clear how this should be done 
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The steps you did right. Just the plot of the target from you started you on the wrong path.
1: Know relative bearing given in game/periscope.
2: Add own course to it.
3: If the sum is higher than 360, then subtract 360. Use the result to plot the direction of target range on the drawing.
4: Plot the position of the target, along that true bearing line, with a scale of 1cm/inch for every 1 km. (in game 1km to 1km) Draw this with a color only for distances.
5: Draw a circle for the safe distance, 1cm/inch for every km aswel. Distance color aswel.
6: Draw a line (intended relative motion) from own position tangent (touching) to the safety circle. It's only a direction, so color whatever.
7: Draw the target speed and course (doesn't even have to be from the actual position, anywhere will do) Scale 1 cm/inch for every knot. Best is doing it in a different color only for speeds.
8: Draw own max speed circle on the beginning of target speed and course vector/line. Give it the speed color.
9: Copy direction of tangent line, onto the end of the target speed and course vector. Extend it's length to outside of own max speed. Draw it with the speed color.
10: Draw/measure direction from circle centers to intersection of own max speed with copied extended tangent line. You can color it as a speed also. It's going to be your speed and course.
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And guntherprien if the convoy zigs one needs to follow the convoy for some time to make an estimation on what the real direction is. If the enemy does not have radar it might be easier to just stalk the convoy in a way that the closest ships are just visible.
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Correct, new target course and/or speed means re-doing the drawing. And convoy course changes are a chaotic event, with ships going all over the place. So you best be on your toes when it happens. The whole convoy is going to rotate it's positions to suit the new course. So be aware of the corner positions.