From: Francis Upchurch
Date: 2016 Oct 3, 22:27 -0700
Are you or any other Navllist expert, able to help me out with my ealier question regarding the derivation of your version of the Thompson clearing method?
I have been experimenting with the Thompson lunar clearance method as described by you:
P1 = HP · sin(Hm) / tan(LD)
P2 = HP · sin(Hs) / sin(LD)
P = P1 - P2.
This is the effect of the Moon's parallax
along the lunar arc.
This I have found works perfectly to within a few arc seconds of the full methods, by either calculator or my Fuller 3 slide rule. This is definitely the easiest method for slide rules.(thanks for bringing me to this)
However, I have looked at both Bowditch 1864 and original Thompson and cannot quite see how you got your formula from them? (see attached).
Are you able to explain how you got from that to your formula? ( as usual, apologies if my limited maths make this a simpleton question!).