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    Re: longitude around noon (a twist)
    From: Greg R_
    Date: 2008 Jun 3, 08:53 -0700

    --- frankreed@HistoricalAtlas.net wrote:
    
    > That's a good point about sights very close to the zenith. I had
    > mentioned previously on the list that there may be a special case
    > when the Sun is close to the zenith. I still haven't thought through
    > whether it really screws up the graphical technique or merely
    > requires more stringent rules for its application.
    
    Something sticks in my mind from way back when I was first learning
    celnav that for objects near the observer's zenith (i.e. Hc ~89 degrees
    or greater) the resulting LOP should be plotted as a circle of position
    (do we call that a COP?) around the object's GP vs. a straight line as
    we normally do. But I don't have any personal experience doing that, so
    I can't vouch for the technique or its accuracy.
    
    --
    GregR
    
    
    
    
    > I made one last try at convincing George Kaplan (a name some of you
    > know) to
    > join us in Mystic this week, but alas, it's not in the cards.
    >
    > While I was at it, I chatted in my email a bit about longitude around
    > noon
    > and asked him this:
    >  "Which leads to a question: is there an established name in the
    > literature,
    > or even in your own jargon, for a fix resulting from a series of ten
    > or
    > twelve sights taken over a relatively short period of time? I've been
    >
    > calling it a "rapid-fire fix". Do you know another name?"
    >
    > His reply:
    >  "I don't know of a special name.  You're correct, of course, if you
    > can get
    > a bunch of sights on either side of noon, you can get good enough
    > geometry
    > to get a 2-D position.  It works with the LOPs, too, in that they
    > provide a
    > good spread of azimuth around then.  There is a slight catch,
    > however, and
    > that is, the higher the Sun is in the sky (and therefore the more
    > rapid the
    > altitude and azimuth change near noon) the more you have to worry
    > about the
    > curvature of the LOPs.  In some near-degenerate cases (sun within
    > several
    > degrees of the zenith), the usual straight-line plotting -- or math
    > that
    > assumes straight-line LOPs -- may not provide the right fix."
    >
    > That's a good point about sights very close to the zenith. I had
    > mentioned
    > previously on the list that there may be a special case when the Sun
    > is
    > close to the zenith. I still haven't thought through whether it
    > really
    > screws up the graphical technique or merely requires more stringent
    > rules
    > for its application.
    >
    >  -FER
    >
    >
    >
    > >
    >
    
    
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