NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: LOP's without DR Position
From: Lars Bergman
Date: 2015 Feb 26, 13:35 -0800
From: Lars Bergman
Date: 2015 Feb 26, 13:35 -0800
The use of cartesian coordinates, vector algebra and complex numbers are powerful tools to solve spherical trig problems. However, they are generally difficult to solve by hand.
I have derived a solution to the problem "find the intersections of two circles of position" by spherical trig formulas suitable for use with logarithms. As is shown in enclosed file the method is quite straightforward. A few logs are re-used which lessens the work somewhat. I have used the same example as in Robin Stuart's paper and the result is pretty near "the truth", with 5-figure logs.
Lars 59N 18E