The planets travel in elliptical orbits with the sun as a focus, as shown in the figure.

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The planets travel in elliptical orbits with the sun as a focus, as shown in the figure.

(a) Show that the polar equation of the orbit is given by

(b) Show that the minimum distance (perihelion) from the sun to the planet is r = a(1 -e) and the maximum distance (aphelion) is r = a(1 + e).

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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