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    Re: Averaging lunars: was Lunars with SNO-T
    From: Herbert Prinz
    Date: 2004 Nov 2, 02:24 -0500

    Dear Alexandre,
    
    In a message from 2004-10-09 I had claimed that it is mathematically
    wrong to average the observed altitudes before feeding them into the
    sight reduction process, because the only rigorously correct method
    minimizes the sum of the squares of the altitude residuals (i.e.
    observed altitude minus computed altitude).
    
    You had asked for the references that I made to articles discussing
    relevant LSQ algorithms in
    
    "Navigation: Journal of The Institute of Navigation"
    
    C. DeWit, Optimal Estimation of a Multi-Star Fix, Vol. 21, No 4, 1974-76
    
    Robert W. Severance, Overdetermined Celestial Fix by Iteration, Vol. 36,
    No 4,  Winter 1989-90
    
    Thomas R. Metcalf, Frederic T. Metcalf, On the Overdetermined Celestial
    Fix, Vol. 38, No. 1, Spring 1991
    
    There are probably many more, but these are the references in have noted
    down.
    
    Regards
    
    Herbert Prinz
    
    
    

       
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