NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: two-body computed fix. was: assumed positions
From: Andr�s Ruiz
Date: 2009 Oct 1, 14:22 +0200
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@earthlink.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 --~--~---------~--~----~------------~-------~--~----~ NavList message boards: www.fer3.com/arc Or post by email to: NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---