NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Peter Hakel
Date: 2020 May 12, 17:19 -0700
Hi Geoffrey (Kolbe),
I only joined NavList in 2009; nevertheless, I ended up using the same two equations in my one_body_fix.xls spreadsheet (the denominator of my latitude formula uses a different form, but it is equivalent to yours). A screenshot of the solution for your example is attached.
This is not quite the end, though. Antoine’s concerns about the choice of LHA (MA) are valid, because there indeed are cases when the “other” solution is the correct one; he also provided an example of that.
BTW, NavList’s search function allowed me to locate these old posts on the subject:
https://NavList.net/m2.aspx/Onebody-fix-PeterHakel-apr-2009-g8065
https://NavList.net/m2.aspx/Onebody-fix-clarification-PeterHakel-apr-2009-g8066
https://NavList.net/m2.aspx/Onebody-fix-PeterHakel-apr-2009-g8087
Peter Hakel