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    Re: Fw: Re: Still on LOP's
    From: Peter Fogg
    Date: 2002 Apr 28, 12:44 +1000

    Brian Whatcott wrote:
    Measure the length of the longest side of the cocked hat.
    Use that as radius from the MPP in the cocked hat's interior  to draw a circle
    for a circular estimate of position.
    I suggest that has a reasonable chance of  in fact covering the
    actual position. I think it puts the actual position in the circle, more often
    than not.
    An even simpler strategy might be to extend the LOPs out - as in away from their
    intersections with other LOPs, by the same amount, and parallel to the original
    LOP. As to the Maths involved I'm just guessing, but if they were each extended 10
    miles or more outwards, would the likelihood of the Actual Position (AP) being
    within this greatly larger cocked hat be something like 80% or 90%?
    The really interesting thing, if this is correct, is that the fix position in the
    centre (centre in the sense of least squares) is exactly the same as from the
    smaller hat which has the same proportions. The only difference seems to be in the
    likelihood of the hat containing the AP: from 25%, according to the theory being
    examined, to 80% or 90%.
    I think this is another version of my earlier 'smudged lines'.

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