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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. 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 --~--~---------~--~----~------------~-------~--~----~ NavList message boards: www.navlist.net Or post by email to: NavList@navlist.net To , email NavList+@navlist.net -~----------~----~----~----~------~----~------~--~---

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