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In: Physics

4. Show that the geodesics of a spherical surface are great circles, i.e., circles whose centers...

4. Show that the geodesics of a spherical surface are great circles, i.e., circles whose centers lie at the center of the sphere.

For context, this a problem from Goldstein, Poole and Safko Classical Mechanics 3rd edition from a chapter about variational principles.

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