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    Re: Why are NA sight reduction tables not popular?
    From: Alexandre Eremenko
    Date: 2012 Apr 8, 20:23 -0400

    Gary,
    
    > The N.A.  implementation of he law of cosines formula is:
    > S= sin Dec
    > C = cos Dec cos LHA
    > Hc = arc sin (S sin Lat + C cos Lat)
    > Hunh?
    > What's wrong with the way we all learned it:
    > sin Hc = (sin Lat sin Dec + cos Lat cos Dec cos LHA)
    
    If you look carefully, this is EXACTLY THE SAME.
    The reason they need S and C is that they are also used in their
    Asimuth formula, why to compute them twice?
    
    > cos A = (sin Dec cos Lat - cos Lat cos LHA)/cos Hc
    > instead the standard:
    > sin A = sec Hc cos Dec sin LHA
    
    sin A (and thus A)  can be nagative, and seamen hate negative numbers.
    They prefer cos A.
    Then A is always positive and you only need to know E or W.
    For this they have a rule.
    
    The formula for sin A also needs a special rule: you need to know
    whether A is N or S, and then it can be negative:-)
    
    Alex.
    
    
    

       
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