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    Re: Applications of Complex Analysis to Celestial Navigation
    From: Andrés Ruiz
    Date: 2009 Oct 26, 08:12 +0100

    Dear John,
    In [NavList 10015] Robin Stuart kindly gives us in advance his paper (see attached pdf file).
    Also in the references of the before mentioned article:
     [3] Stuart, R. G., Applications of Complex Analysis to Spherical Coordinate   
     Geometry, Quarterly Journal of the Royal Astronomical Society 25, 1984, 
    pp.126-136; http://articles.adsabs.harvard.edu/full/1984QJRAS..25..126S
    I have downloaded it and attached it in this e-mail.
    Andrés Ruiz
    Navigational Algorithms
    -----Mensaje original-----
    De: navlist@fer3.com [mailto:navlist@fer3.com] En nombre de John Karl
    Enviado el: lunes, 26 de octubre de 2009 2:31
    Para: NavList
    Asunto: [NavList 10278] Re: Applications of Complex Analysis to Celestial Navigation
    I've never seen regular 3-D spherical geometry handled with complex
    (i.e., analytic) functions.  And I'm not familiar with the C++
    language.  Can you just give me some simple example of this, say a
    representation of the Sin(H) altitude equation in terms of analytic
    functions??  It seems if I just substitute complex Sines and Cosines
    in the altitude equation, I wouldn't achieve any simplification.
    And by the way, the quaternions that I know of are extensions of the 2-
    D complex plane to 4-D, with one real dimension and thee square roots
    of minus one, i, j, k, such that ij = -ji, jk = -kj, etc.  I don't see
    these quarterions as a subset of tensors that I know about, such as
    those in Riemannian geometry and general relativity.  Am I missing
    something here too??
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