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Simple! If $\epsilon < 1$ then it is a circle or a ellipse. In this case, happened no scattering. On the contrary, the particle were absorbed. If $\epsilon = 1$ it is a parabola. There's only one value of energy (for a given angular momentum) for the orbit to be a parabola. Therefore, mathematically, the probability of the orbit is a parabola it is 0%. ...

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