NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Direct methods
From: Michael Dorl
Date: 2007 Nov 05, 05:58 -0600
From: Michael Dorl
Date: 2007 Nov 05, 05:58 -0600
At 03:43 PM 11/4/2007, you wrote: >Michael Dorl wrote- > >| Back in 1999, I sat down and worked out the spherical trig for this >| problem. It may be found at >| >| http://ns.doit.wisc.edu/~mdorl/Sight%20Reduction%20write%20up.doc >| >| I am pretty sure it handles all the quadrant problems I did not consider >| problems at angles when the trig functions misbehave. > >==================== > >That's interesting, and timely. Except in detail, it's on exactly the same >lines as the procedure quoted in John Karl's book. Understand one , and you >will understand the other. > >However, one of those details is a silly error in Michael Dorl's program, in >which his final equation for Cos(T), on the last page, should not be- > >cos(T) = [Sin(AltJ)-Cos(DeclJ)Sin(Lat)] / Cos(DeclJ)Cos(Lat) >but instead- >cos(T) = [Sin(AltJ)-Sin(DeclJ)Sin(Lat)] / Cos(DeclJ)Cos(Lat) > >Mike will kick himself when he sees it! Making that change, and allowing for >different notation, his equations for Sin(Lat) and for Cos(T) then >correspond EXACTLY with John Karl's 7.5d and 7.5e. Well shucks :-( I did have it right in the c++ program so I must have made the error when I wrote up the description. Many thanks for pointing it out, I will fix it. Mike --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to NavList@fer3.com To , send email to NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---