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    Re: Applications of Complex Analysis to Celestial Navigation
    From: Robin Stuart
    Date: 2009 Nov 28, 13:51 -0800

    I have put together an Excel spreadsheet that demonstrates the use of complex 
    numbers in calculations performed in celestial navigation. The examples are 
    taken from the paper Applications of Complex Analysis to Celestial 
    Navigation, available at http://www.fer3.com/arc/img/110015.articlec.pdf.
    
    Each sheet consists of three sections; Inputs, Calculations, Results. The 
    values of the Inputs are initially set to those that appear in the paper, 
    above, and confirm the results that appearing therein. The inputs may be 
    changed to perform the same calculations for other sets of observations.
    
    The spreadsheet uses the Excel Engineering functions IMSUM(), IMPRODUCT() etc. 
    to the perform the complex number calculations. To ensure that these are 
    available to the system, on the Excel toolbar select Tools>Addins and check 
    "Analysis ToolPak".
    
    The Excel implementation using functions IMSUM(), IMPRODUCT() etc. to perform 
    arithmetic operations on complex numbers means that formulas that appear here 
    are less compact and transparent than they are in computer languages, such as 
    FORTRAN, C++, PERL, in which complex numbers are a built in native data type.
    
    Robin Stuart
    
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    File: 110839.complexcelnavdemo.xls
       
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