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    Re: Still on LOP's
    From: Rodney Myrvaagnes
    Date: 2002 Apr 20, 02:34 -0500

    On Sat, 20 Apr 2002 11:18:30 +0100, George Huxtable wrote:
    >Williams says-
    >"Fig 14.6 is the cocked hat formed by three position lines. If no
    >information is available on the distribution of error the probability of
    >being in each of the seven zones defined by the cocked hat is as shown in
    >the figure. The proof is so simple that an outline of it is given in note
    If a mariner takes a series of LOPs, and they come somewhere near to
    defining a position, he has a lot of information about the error
    distributions. The assumption of no information at all implies equal
    probability anywhere in the world. Under that assumption (only) the
    division into left and right at 0.5 each for a LOP makes sense. That
    means each bearing could as easily have been 90 degrees away from where
    it just happened to fall. Come on guys.
    Maybe someone would like to compute the probability of a tight cocked
    hat occuring in the first place from such useless data.
    Disclaimer: I have made navigation errors, two resulting in insurance
    clames. I am 66 years old and still alive.
    Rodney Myrvaagnes                                                        J36 Gjo/a
    "Nuke the gay whales for Jesus" -- anon T-shirt

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