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

Verify that the circular orbit

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

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

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

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