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A mechanical model that exhibits a gravitational critical radius
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A mechanical model that exhibits a gravitational critical radius
classification
physics.class-ph
keywords
criticalmechanicalmodelorbitsparticleradiussurfaceaxis
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Circular orbits of a particle sliding on a frictionless surface of revolution about a vertical axis are unstable below a critical radius if the curvature of the surface satisfies a specified condition. This behavior can be realized in a mechanical model, which give a glimpse of the greater complexity of particle orbits in curved rather than flat spacetime.
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