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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.

Regards,

Andrés Ruiz
Navigational Algorithms
http://sites.google.com/site/navigationalalgorithms/



-----Mensaje original-----
De: navlist@navlist.net [mailto:navlist@navlist.net] 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


Andres,

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??

John

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