Quote:
Originally Posted by TorpX
I consider this the beauty of my solution. I've used vector addition to subtract the target ships' speed. (This sort of thing was done with a 'maneuvering board' for various problems.) Working the problem this way, the ships in diagram 2 (if there are any) do not move. We need not make any assumptions of how many, or where the ships are located. All that need to be done is compare the respective areas cut out, of the moving sub and the stationary one.
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Yes, except I see big flaw in the reasoning here. Suppose we are patrolling roughly E-W in a hypothetical N-S shipping lane. We add a northward cant to our patrol as in your examples. This absolutely does decrease the speed vector of any ship moving north, thus giving better odds of detection. Shipping lanes go both ways though and it also has an inverse effect on any ship heading south, decreasing odds of detection. Supposing that you're trying to find a target you have some prior knowledge of (a radio reported convoy for instance), reducing the speed vector would surely help to actually locate them. Otherwise, I suspect that it doesn't actually help due to the inverse nature this has on finding targets going the other way. Though it might due to reasons I can't quite fully articulate at the moment.
Oh, been meaning to tell you that your link to table.txt above is broken.
Quote:
Originally Posted by TorpX
Not sure what you mean here. None of the math I've used requires quantum mechanics, string theory, or black magic.
I wouldn't even say that I've come up with a new method. It's more along the lines of a guideline as to what one can expect from roaming, so one can decide if it is worthwhile. In any case, O'Kane did do stationary patrolling on at least one war patrol, so it is not a gamey-hindsight deal.
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Gotta agree here. The actual math on this sort of thing was probably worked out a *long* time ago due to how pertinent this thinking is to every navy on the planet. The thing is that I have no idea where to find the information. I can most likely find the answer for myself more easily than I can research it.