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    Re: Classification of the methods for clearing the Lunar Distances
    From: Herbert Prinz
    Date: 2003 Apr 11, 04:36 +0000

    Fred Hebard wrote:
    
    > I believe the "short" vs "rigorous" solutions to which Jan refers are
    > based on whether the relevant equations are solved explicitly rather
    > than by some approximation to the solution, such as substitution of the
    > first term of a Taylor series for a sine function.  In this sense,
    > couldn't St. Hilaire's method be either short or rigorous depending on
    > how one determines Hc?
    
    The modern intercept method cannot be classified as a rigorous solution to
    the combined altitude problem, because the true position (the intersection
    of the two circles of equal altitude) is approximated by the intersection
    of two tangents to these circles. The error depends on how close the
    assumed position is to the true position.
    
    As for the original Marcq St Hilaire method, the inventor called it
    "methode du point rapproche", which says it all.
    
    Best regards
    
    Herbert Prinz
    
    
    

       
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