Formula Question

From: Jonathan T Wojack (tlj18@juno.com)
Date: Wed Nov 28 2001 - 16:16:20 EST

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    Hello,
    
    Someone from Erie, PA recently asked how far above the ascending space
    shuttle would pass above their horizon.  I tried using a formula that I
    had stored on my calculator, but it gave very ridiculous results.  I'm
    probably missing a couple of parentheses or something like that.  I have
    the formula as I have it below; perhaps someone can tell me the correct
    formula?
    
    DIST = R*(cos^-1 (cos (a)*R/(R+Height))/57.29578)-a*R/57.29578
    
    where R is the radius of the earth (~ 6371 km), Height is the altitude of
    the satelllite in km, a is the height of the observer's artificial
    horizon in degrees, and DIST is the farthest distance and observer can be
    from the satellite's ground track and still have the satellite be at
    least a degrees in altitude.
    
    ------------------------------
    Jonathan T. Wojack                 tlj18@juno.com
    39.706d N   75.683d W           
    http://www.angelfire.com/stars2/projectorion
    5 hours behind UT (-5)
    
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