Verify that the circular orbit r(t) = (R cos wt, R sin wt)

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Verify that the circular orbit

satisfies the differential equation, Eq. (1), provided that w = kR3. Then deduce Kepler's Third Law = = (47)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 15, 2024 07:01 AM

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Verify that the circular orbit r(t) = (R cos wt, R sin wt)

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r(t) = (R cos wt, R sin wt)

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Note that r R and note that r Rw sin wt ...View the full answer

Calculus

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