Planetary Motion The planets travel in elliptical orbits withthe sun as a focus, as

Chapter 9, Problem 56

(choose chapter or problem)

Planetary Motion The planets travel in elliptical orbits withthe sun as a focus, as shown in the figure.(a) Show that the polar equation of the orbit is given by ^ (1 - e-)a I - e coswhere e is the eccentricity.(b) Show that the minimum distance [pcrilielion distance) from the sun to the planet is r =a(\ - e) and the maximum distance lapliclion distance) is / = a{] + e).

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