NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Longhand Sight Reduction
From: Hanno Ix
Date: 2014 Nov 23, 14:09 -0800
From: Hanno Ix
Date: 2014 Nov 23, 14:09 -0800
Greg,
Sorry , I missed that.
You know, personally, I don't use the "contrary" and "same" convention.
Years of math by hand trained me to watch out for signs when
adding and subtracting - got bitten too many times. The advantage is,
of course, one doesn't have to remember special sign rules.
My choice of letters was simple:
N: negative as in L-D, P: positive as in L+D; Q: well, next after P :)
Boy, what a compression of formulation, though - I am so happy about that!
H
On Sun, Nov 23, 2014 at 1:06 PM, Greg Rudzinski <NoReply_Rudzinski@fer3.com> wrote:
Hanno,
The formula varient that you show is actually what I used to format the index card reduction. It works well to save space. For same name N=hav(L-D), P=hav(L+D). For contrary name N=hav (L+D), P=hav (L-D). For calculator reductions Hc= Arc Sin [1-2(x), x=N+(1-Q)*havLHA.
I prefer to us different letters where n=(L+/-d),m=(L+/-d), P=(1- (n+m))*havLHA, ZD=Arc hav(n+P). This way when Bowditch is consulted there is better agreement.
Greg Rudzinski
From: Hanno Ix
Date: 2014 Nov 23, 10:10 -0800Greg,there is a form of the hav-Doniol some people might prefer.Mathematically, there is no difference to the original formulation.Here it is:
define: N = hav( L - D );
define: P = hav( L +D );
define: Q = N + P;
hav(s2s) = N + ( 1 - Q )* hav(LHA);