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    Re: Accuracies in LD's
    From: George Huxtable
    Date: 2008 Jun 9, 21:41 +0100

    In my posting earlier today, I was somewhat dismissive about many of the 
    sources of error in lunar distance, that were suggested by Kent Nordstrom in 
    navilst 5380.
    
    But I wish, now, to retract what I said about errors in interpolation at 
    times between the lunar distance predictions. These predictions were 
    provided in the almanac at three-hourly intervals through the day (and still 
    are, in Steven Wepster's lunar website). As you might expect, the biggest 
    errors can occur at times half-way between the predictions, for example 
    around 1:30 am. Under some circumstances, the rate of change of lunar 
    distance is altering quite rapidly, and that curvature in its graph needs to 
    be allowed for, and the necessary adjustment can be substantial. This 
    happens, particulaly, when the body is getting close to the Moon (less than 
    30�, say) and happens to be some way off the line of the Moon's path through 
    the stars.
    
    A table is provided (in my 1864 Nautical Almanac, it's on page 496) to make 
    that correction, and presumably, having made the correction, little or no 
    error remans from that cause. But the correction can be important, up to 42 
    seconds in the deduced time of GMT, so up to 10.5' in the resulting 
    longitude, and becomes well worth making, unless one is being very selective 
    in choosing which body to "shoot". I was wrong, then, to suggest that it was 
    an insubstantial matter.
    
    Although it's an easy businessto make the correction (or at least it was 
    then, because it could be deduced from the "proportional log", which was 
    printed with each lunar distance), it highlights an advantage of using 
    modern technology, and predicting lunar distance for the moment that it's 
    needed, not just at 3-hour intervals.
    
    George.
    
    contact George Huxtable at george@huxtable.u-net.com
    or at +44 1865 820222 (from UK, 01865 820222)
    or at 1 Sandy Lane, Southmoor, Abingdon, Oxon OX13 5HX, UK. 
    
    
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