(a) Evaluate the integral in Eq. (7.29) to find t(r) for a particle moving in a central...
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(a) Evaluate the integral in Eq. (7.29) to find t(r) for a particle moving in a central gravitational field.
(b) From the results, derive the equation for the period \(T=(2 \pi / \sqrt{G M}) a^{3 / 2}\) in terms of the semi-major axis \(a\) for particles moving in elliptical orbits around a central mass.
Data from Eq. (7.29)
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