NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: 2-Body Fix -- take three
From: George Huxtable
Date: 2009 Nov 10, 08:37 -0000
From: George Huxtable
Date: 2009 Nov 10, 08:37 -0000
Andres Ruiz asked- I don't have John Karl�s book, and I am wondering if the method is the one by Gauss: http://www.fer3.com/arc/m2.aspx?i=030718&y=200606 ================= from George- Yes, that's exactly the method (which I didn't know, until now, was due to Gauss). His name crops up everywhere, doesn't it? In the notation of the equations quoted by Andres, B1 and B2 are the two ambiguous solutions for latitude, and only the navigator can decide which is the one where he is. To go with B1, there are two mathematical solutions for longitude, L11 and L12, only one of which is compatible with the two observed altitudes, and no judgment of the navigator is needed to decide which. Similarly, to go with B2, there are two longitudes L21 and L22, and a computer can choose between them. George. contact George Huxtable, at george@hux.me.uk or at +44 1865 820222 (from UK, 01865 820222) or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK. --~--~---------~--~----~------------~-------~--~----~ NavList message boards: www.fer3.com/arc Or post by email to: NavList@fer3.com To , email NavList+@fer3.com -~----------~----~----~----~------~----~------~--~---