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3. Consider a circular orbit in the Schwarzschild spacetime. We take the orbit to lie on the plane 0/2. From the radial geodesic equation, find an expression for (do/dt)2, and verify that it reproduces Kepler's third law of planetary motion.

3. Consider a circular orbit in the Schwarzschild spacetime. We take the orbit to lie on the plane 0/2. From the radial geodesic equation, find an expression for (do/dt)2, and verify that it reproduces Kepler's third law of planetary motion.

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3. Consider a circular orbit in the Schwarzschild spacetime. We take the orbit to lie on the plane 0/2. From the radial geodesic equation, find an expression for (do/dt)2, and verify that it reproduces Kepler's third law of planetary motion.
Transcribed Image Text:3. Consider a circular orbit in the Schwarzschild spacetime. We take the orbit to lie on the plane 0/2. From the radial geodesic equation, find an expression for (do/dt)2, and verify that it reproduces Kepler's third law of planetary motion.
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