Keplers Third Law. Figure 10 shows an elliptical orbit with polar equation r = P 1 +

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Kepler’s Third Law. Figure 10 shows an elliptical orbit with polar equation

r = P 1 + e cos 0

where p = J/k. The origin of the polar coordinates occurs at F. Let a and b be the semimajor and semiminor

This exercise shows that b = pa. (a) Show that CF = ae. Hint: r per a(1 e) by Exercise 13. = P (b) Show that

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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