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Math Help - Great Circles

  1. #1
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    Exclamation Great Circles

    Great Circles!

    Use the points:

    C
    ( 40 N , 70 W )
    D ( 40 N , 150 W )E( 70 N , 150 W ) F ( 70 N , 70 W )

    to find the distance from C to E along a great circle.

    ( Hint: You will need to find the lengths of the Trapezium CDEF)

    Any Contribution and Help will be Appreciated.

    Thanks!!!


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  2. #2
    Eater of Worlds
    galactus's Avatar
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    Chaneysville, PA
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    Are you familiar with the Haversine formula?.

    Let lat1=u, long1=v, lat2=x, long2=y

    cos^{-1}\left(cos(u)cos(v)cos(x)cos(y)+cos(u)sin(y)cos(x  )sin(y)+sin(u)sin(x)\right)

    Multiply this by the radius of the Earth and it should get you close.
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