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![]() Join Date: Aug 2012
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I have been thinking leatly about the problems with the optics and the information of reference heights on targets and as i was thinkin on the equations of motion and the trigonometry of collisions it ocurred to me that it is very posibble that there is no need to be very precise as long as the measuremets are gauge incorrectly by the same amount. I have not done yet the mathematical calcullations to confirm that the equiations of motion are correct, maybe i will give it a go if a have time.
The idea on the subject is that no matter how wrong the gauge is in the measurements, as long as you take them with the same device they will still give you the correct course of the travelling target if it is going on a strait line. The differences that one will get when the gauge is incoorect will be in range and speed of the target. But, since these two measurements are correlated to priovide the firing solution, it is very possible that the torpedo solution is correct despite the wrong measuremets. To illustrate this, lets think of a target that is travelling acros the bow of the submarine at a certain speed which we do not know yet. We estimate the identification of the target, lock and take a range measure. Input in to the TDC will send both range and bearing. Lets assume that we misestimated as bad as measuring twice the real range to the target, so if the real value is for example 1000 yards, we measure 2000 yards. After a certain amount of time, depending on the situation circumstances we make a second measurement of the target and send it to the TDC, which will send again range and bearing. Now the TDC has two points of information and can draw the line that crosses them both, thus the course. Since it keeps track of the time passed in beteen measrues, it is straigh forward to calculate the speed. Now we have the range, the course and the speed. The course of the target is correct since the two measuremts are incoorect by the same gauga, thus given as a solution that is parallel to the real course, which in terms if of course the course. The data input that is wrong to the TDC are the range which in this case would be double of the real range, and the speed which also will be double of the true speed of the target. The reason for that is that the two triagnles made of points A (submarine), B (measure 1), and C (measure 2) will be equivalent, one the real one and the other one the one we have measured, and thus all the sides being in the same relation, so if one side of the triangle is double, then all the others are so. In this case the distance travelled by he target as measured will be double and thus double the speed. Now we have a solution that is wrong in range and speed of the target, but here is where the theory cames into place. That the course of the torpedo in order to intercept the measured target, will also intercept the real target, only at a different time and bearing. Now, I have not made the mathematical calculations in order to cornfirm the theory (which takes time and effort, or a good mathematician) but it seems to me that it is very possible that is coorect because of the key correlation between the speed and the range in the measurements. |
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