NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Applications of Complex Analysis to Celestial Navigation
From: John Karl
Date: 2009 Oct 25, 18:30 -0700
From: John Karl
Date: 2009 Oct 25, 18:30 -0700
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.fer3.com/arc Or post by email to: NavList@fer3.com To , email NavList+@fer3.com -~----------~----~----~----~------~----~------~--~---
