11-01-12, 01:32 AM
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#3
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Silent Hunter 
Join Date: Sep 2010
Posts: 3,975
Downloads: 153
Uploads: 11
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Well, after the internet ate my post, I took another look at this problem. Perhaps it is just as well. On closer examination, I diagramed two cases.
In the first case, I have a moving sub and the plot has two sub positions and two target positions. So, you have a trapezoid in which range errors change 3 sides, but the sub travel is unchanged. Here the calculated target speed will change, but will not necessarily double. Thus, the range errors will break the solution. This is not a surprise; otherwise there would be no need to fuss about estimating range and speed like we do.
In the second case, I diagramed a plot with the sub being stationary. Here you have a triangle with all sides doubled. Your theory seems to work here. At least I can't find any flaws in it, at the moment. It does seem odd to me, though.
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