Question

14.8. Kepler motion: In an appropriate coordinate system, the motion of a planet around the sun (considered as fixed) with the attractive force being propor tional to the inverse square of the distance z of the planet from the sun is given by the solution of the second-order conservative system with the potential function-İzl-1 for: * 0. Show that the orbits are closed curves if the total energy is negative. You can also show that they are ellipses by considering the second-order differential equation obtained by the change of variables u = Izr1.

Answer 1

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