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    Re: Average altitude of a celestial sight
    From: David Fleming
    Date: 2020 Aug 17, 19:06 -0700

    An annular ring at altitude x -> x+dx  has an area 2*Pi*Rsquared*cos x * dx so the area weighted

    average altitude ~ Integral( x cos x dx ) 0 -> Pi/2

                                ~  [ cos x +x sinx] evaluated at Pi/2 - evaluated at 0

                                ~ ( Pi/2 - 1)  = .57 in radians    or .57 * 57.3  = 32.6 degrees

       
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