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    Re: two-body computed fix. was: assumed positions
    From: Andr�s Ruiz
    Date: 2009 Oct 1, 14:22 +0200

    Robin, glad to see more papers about celestial navigation in these days.
    
    Traditional approach to navigation calculations are based in spherical 
    trigonometry. I prefer to use vectors for clarity, and power, avoiding  
    trigonometry ambiguity. You use complex analysis.
    Interesting.
    
    In my paper: "Vector equation of the circle of equal altitude" some 
    navigational problems are solved using vector calculus.
    
    https://sites.google.com/site/navigationalalgorithms/papersnavigation/vectorialEquationCOP.pdf?attredirects=0
    - Altitude and azimuth from assumed position and geographic position
    - Lunar distance
    - Star - Star distance
    - Great Circle Sailing
    
    Indeed, vector calculus and quaternions are a particularization of Tensor calculus.
    
    Thanks for give us in advance your paper.
    Regards,
    
    Andr�s Ruiz
    Navigational Algorithms
    http://sites.google.com/site/navigationalalgorithms/
    
    
    
    -----Mensaje original-----
    De: navlist@fer3.com [mailto:navlist@fer3.com] En nombre de robinstuart---.net
    Enviado el: jueves, 01 de octubre de 2009 13:01
    Para: NavList@fer3.com
    Asunto: [NavList 10015] Re: two-body computed fix. was: assumed positions
    
    A different method for the reduction of the 2-body fix, as well as other 
    classic problems in celestial navigation, appears in the attached paper that 
    is due to be published in Navigation (Journal of the Institute of 
    Navigation). By mapping points on the sphere to complex numbers by 
    stereographic projection, spherical trigonometry is reduced to plane 
    trigonometry and simple arithmetic operations on complex numbers,
    
    Robin Stuart
    
    
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