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    Re: Calculate new coordinates given bearing and distance?
    From: Geoffrey Kolbe
    Date: 2015 Nov 26, 16:00 +0000



    Hello Sam

    Here are some direct formulae for you.

    Lat1 and Long1 are your start latitude and longitude. 
    Lat2 and Long2 are the new coordinates at the given bearing and distance
    Diff will be the difference between Long1 and Long2
    Dist will be the distance in nautical miles. A nautical mile is equivalent to one minute of arc on a Great Circle, so this is converted to degrees in the formulae by dividing by 60

    Sin(Lat2) = Cos(Dist/60) Sin(Lat1) + Sin(Dist/60) Cos(Lat1) Cos(Bearing)

    Sin(Diff) = Sin(Bearing) Sin(Dist/60) / Cos(Lat2)

    Long2 = Long1 + Diff

    Caveat

    I do not have my scientific calculator with me, so I cannot test these formulae. As General Norman Schwarzkopf once wisely remarked, "If it has not been tested, it does not work."

    Geoff
    ​r​
    ey Kolbe

    ​I have now tested these formulae with one known example and they seem to work.

    Geoffrey Kolbe​

     
       
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