The general Kepler orbit is given in polar coordinates by

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The general Kepler orbit is given in polar coordinates by

The general Kepler orbit is given in polar coordinates by r(phi) = c/[1 + epsilon*cos(phi)]. Rewrite this in Cartesian coordinates for the cases that epsilon = 1 and epsilon > 1 showing that if epsilon =1 you get a parabola and if epsilon>1 you get a hyperbola. For the hyperbola identify the constants alpha, beta and delta in terms of c and epsilon.

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