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    Re: Exercise #18 Daylight 3-body fix.
    From: Michael Dorl
    Date: 2009 Feb 28, 13:32 -0600
    Anabasis wrote:
    A ship is sailing in the East China Sea on 6 January 2009.  The course
    is 195 degrees True and
    is steaming at 10.5 knots.  The 1530L fix is Lat 34 deg 21.5N';
    longitude
    128 deg 55.4'E.  IE is 0.8' on the arc, height of eye is 107 feet,
    standard temp
    and pressure.
    
    Around 1545L (0645 UTC) a 3-body fix is taken.  Determine Latitude and
    Longitude
    at 1545L.
    
    At 15h 43m Venus is observed at meridian transit with an Hs of 44 deg
    25.8'
    
    At 15h 43m 46s the upper limb of the moon is observed with an Hs of
    35d 57.0'
    
    At 15h 44m 52s the lower limb of the sun is observed with an Hs of 16d
    46.5'
    
      
    I don't know anything about the classical methods but wonder how close I came by direct calculation.  I did not allow for the movement of the ship between the sights or refraction.

    Aires = 100.7797  Time offset =      0
    Star               Decl     SHA     GHA     Alt   T_Day  D  M Year   T_Year   C_GHA      Aires
    venus           -11.458  24.675 231.409  44.258   6.717  6  1 2009  126.717 231.409   206.734
    moon             18.982 324.715 171.641  35.644   6.729  6  1 2009  126.729 171.641 206.926
    sun             -22.473  72.556 279.758  16.739   6.748  6  1 2009  126.748 279.758    207.202
     
    Star1           Star2              Lat1    Lng1    Lat2    Lng2
    venus           moon             34.281 230.888 -33.262 187.352
    venus           sun              34.282 230.996 -42.148 192.394
    moon            sun              34.188 230.888 -29.647 196.834
    Average location                 34.2501 230.9240

    And on the map



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