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5. The general Kepler orbit is given in polar coordinates by eqn 8.49. Rewrite this in Cartesian
coordinates for the cases that ɛ = 1 and ɛ > 1. Show that if ɛ = 1, you get the parabola 8.60, and if ɛ >1
the hyperbola 8.61.For the latter, identify the constants a, Bß, and & in terms of c and ɛ.

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I don't understand why B would be the correct answer? Shouldn't the potential energy be decreasing as Mars gets farther, since the gravitational force decreases? And why is angular momentum the same?
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