NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Robert Bernecky
Date: 2018 Jan 14, 17:38 -0800
I tested out the formulas, with the following data:
2017 August 20 Sunday 17h 04m 31s UT Aries 225d 21.0' LHA 255d 19.0'
Position N 29d 11.4' E 29º 58.0'
Body GHA LHA Dec Hc Zn
-1.8 Jupiter 26º 27.1' 56º 25.1' S 6º 46.7' 24º 57.5' 245.9º
-----------------------------------------------------------------------
Using a calculator, and storing the values in variables:
Hc 24º 57.5' = 24.9583333 in A
dec S 6º 46.7' = -6.7783333 in B
LHA 56º 25.1' = 56.4183333 in C
Now, compute G:
tan^-1( tan B / cos C) --> X (store in variable X)
X = -12.1276811
Next, compute coL + G:
sin^-1 ( sin A * sin X / sin d) --> Y (store in Y)
Y = 48.68471841
Y = coL + G so by algebra
coL = Y- G
where G's value is stored in variable X.
we do: Y - X -> D (store in D)
D = 60.81239952
D is the coL, and the Latitude is 90 - D = 29.18760049
or L = 29º 11.3'
which (almost) matches the position's latitude N 29º 11.4'