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    Re: Applications of Complex Analysis to Celestial Navigation
    From: Robin Stuart
    Date: 2009 Dec 8, 17:02 -0800

           1. Glad to see we have complete agreement.
           2. Thanks for doing me the honour of including the method in 
    CelestialFix.exe. I assume that you are using the code given in 
    http://www.fer3.com/arc/m2.aspx?i=110248&y=200910 and would comment that, if 
    you haven't done it already, you might want to include a test for the case 
    when the CoP's do not intersect. As noted in the paper there are no 
    intersections when the argument of the square-root in nu, eq.(3.2), is 
    negative. As you see the method works for both simultaneous sights and for 
    running fixes.
           3. The complete version of Merrifield, including page 241, is available 
    at google books http://books.google.com/books?id=3F1hEm8jlh0C and is 
    referenced in my paper. You are right about the formula that is used to 
    correct for the run. In the spirit of the methods in the paper, the exact 
    correction based on spherical rather than plane trigonometry can be obtained 
    using using eq.(5.1) (or eq.(A.4)). In eq.(5.1) and Fig.2, if the arc 0-z1 
    represents the uncorrected zenithal distance (ZD) and 0-z2 represents the 
    distance and direction run, then d is the corrected ZD.
    Robin Stuart
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