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Math Help - Tilted ellipse in polar form

  1. #1
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    Tilted ellipse in polar form

    Hi!

    I need to find all the points for which the tilted ellipse

    0.4*x^2+y^2-x*y=10

    and the ellipse

    ((x-4)^2)/4^2+((y-2)^2)/6^2=1

    cross each other, and then plot them in matlab. I think I've found the points (with Newtons-Raphson), and managed to plot the second ellipse, but I don't know what to about the first one. A suggestion is to express the first one in polar form, but I don't know how. Any suggestions?
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  2. #2
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    Quote Originally Posted by Orient Blue View Post
    Hi!

    I need to find all the points for which the tilted ellipse

    0.4*x^2+y^2-x*y=10

    and the ellipse

    ((x-4)^2)/4^2+((y-2)^2)/6^2=1

    cross each other, and then plot them in matlab. I think I've found the points (with Newtons-Raphson), and managed to plot the second ellipse, but I don't know what to about the first one. A suggestion is to express the first one in polar form, but I don't know how. Any suggestions?
    Please see attached graph.
    Attached Thumbnails Attached Thumbnails Tilted ellipse in polar form-graph23.jpg  
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