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Was there something to do the same in US boats other than the methods we have currently?
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Yes and no. Basically, US method to get the target data involved:
1.- Plotting
2.- Use of the position keeper in the TDC (Comparing against target bearings, etc)
3.- Constant bearing
4.- Estimating
German methods to get target data involved:
1.- Plotting
2.- Specific tools (AOB finder like this example, and fixed wire speed measuring)
3.- Constant bearing
4.- Estimating
So they had many similarities except in nš 2
There was however a slide rule used aboard US ships to allow measuring angle on the bow if target data were well known. The principle is the same as the german circular slide ruler shown in this thread.
I think it would be very easy to implement this in the game, because all that is needed is to add the fixed scales in the periscope background and then add a draggable image with the moveable ones