Let T be the period of a planet around the sun, that is, T is the time required for the planet to complete one revolution around the sun, through its elliptical orbit. Assume that the lengths of the major and minor axes of the ellipse are 2a and 2b. 7. Show that T = 2rab/h. 8. Show that = ed = . %3D GM 9. Show that T2 = a", which proves Kepler's Third Law

Let T be the period of a planet around the sun, that is, T is the time required for the planet to complete one revolution around the sun, through its elliptical orbit. Assume that the lengths of the major and minor axes of the ellipse are 2a and 2b. 7. Show that T = 2rab/h. 8. Show that = ed = . %3D GM 9. Show that T2 = a", which proves Kepler's Third Law