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-> X^2+y^2=1/(3+x^2/r^2)
-> X^2+y^2=1/(3+x^2/x^2+y^2)
-> X^2+y^2=1/3x^2+3y^2+x^2/x^2+y^2
-> X^2+y^2=(1/4x^2+3y^2/x^2+y^2)
-> (X^2+y^2)(3+x^2/x^2+y^2)=1
-> 3(x^2+y^2)+x^2-1=0
-> 3x^2+3y^2+x^2-1=0
-> 4x^2+3y^2-1=0