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Starting from the formula r -murgamma3 show by

Starting from the formula r^.. = -μ(r/γ³) show by differentiation that the quantity h =|r^.|²/2- μ/γ is a constant. It is useful to recall that |r^.|²= r^..r^.. You will need to use your calculus skills to find an expression for the derivative of 1/r with respect to time t, after which the fact that γγ^.= r.r^. is likely to be useful.

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