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    Re: One-body fix
    From: John Karl
    Date: 2009 Apr 27, 14:59 -0700

    
    > I hereby display the solutions to this "one-body fix" problem, if only as a 
    curiosity. �I expect that these have been worked out before but I haven't 
    found them anywhere so far (references would be much appreciated). �The known 
    quantities are the GP (Dec, GHA), observed altitude (Ho), and azimuth to GP 
    (Zn). �From the navigation triangle we can calculate the LHA and then the 
    Latitude:
    >
    > sin LHA = sin Zn * cos Ho / cos Dec
    >
    > sin Latitude = ( sin Ho * sin Dec �- �cos Ho * cos Dec * cos LHA * cos Zn ) 
    �/ �( 1 �- �cos Ho * cos Dec * sin LHA * sin Zn )
    >
    > Peter Hakel
    
    
    I don't know of a reference for Peter's second equation above.  But, I
    easily calculated a different one from the standard altitude and
    azimuth equations:
    
    Sin L = (cosA cosH sinH - sind cosd cosLHA)/(sind cosA cosH - cosd
    sinH cosLHA).
    
    Since both this and Peter's check out for the special case at LAN,
    they're probably both OK.
    --JK
    
    
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