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    Re: Poor St. Hilaire
    From: John Karl
    Date: 2007 Oct 16, 09:40 -0700

    John Karl wrote:
    > If we use a $12 calculator
    > we get 10-digit accuracy.
    Peter Fog wrote:
    > No, we get 10-digit precision.  Accuracy depends on other factors, external
    > to the calculator.
    Actually, I do mean accuracy.  Here I'm talking about the accuracy of
    calculators compared to inspection tables.  HO 229 states that its max
    error in computed altitude is 0.3', and for altitudes below 86
    degrees, a max error of 0.3' in computed azimuth.
    I've always assumed that my 10-digit TI-30 has 10-digit accuracy,
    which checks out where I can check it easily, such as in
    Log[sqr(2PI)].  I assume the same for trig functions.  Now the
    equations for altitude and azimuth use so few arithmetic operations
    that not more than one, or two, places could be lost.  So I'm
    reasoning that the calculator altitudes and azimuths are accurate to
    eight or nine places.  In any case, it's sufficiently more accurate
    than the claimed accuracy of inspection tables that the calculator
    results can be considered exact.
    > To all criminals against GPS,
    > Why criminals?
    Because those who only use GPS think it's a crime that we CN people
    don't -- something like crimes against humanity; or at least they
    think we're silly, maybe even stupid.
    John Karl
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