NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Antoine Couëtte
Date: 2024 Jan 30, 18:33 -0800
Dear Bill,
Congratulations on your 'Richie A & B' methods for solving Culmination to Meridian passage.
It is extremely clever and - in a mathematical sense - it offers the fully exact Observer's Position at Culmination in all cases.
It then supersedes the so-called "Wilson 2" [approximation] which - for any future reference - I understand to be:
(3.1) - (UT Meridian Passage - UT Culmination) s = (15/μT)² * 48/π * (tgφ - tgD) (μφ - μD) ’/h . And :
(4) - (h₀ Meridian Passage - h₀ Culmination) ’ = - 1/2 * |(kΔUTmp-c) h * (μφ-μD) ’/h|
Happy for you that you could solve it in such a clever way.
Enjoy beautiful NZ at this time of the year.
Best Friendly Navigation and Culmination Regards
Kermit
PS: Yes, I would go for the term "Lower Culmination" . I can see no other better one.