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There is heavy star treated to be at rest and a small planet orbiting around it....

There is heavy star treated to be at rest and a small planet orbiting around it. Only force between the star and a planet is central force of form F(r) = -ar", where r is a distance between star and a planet, a ER+, and n E R. Since the problem is spherically symmetric, total angular momentum is conserved, so orbit is embedded in some plane. What is a greatest lower bound of n for this planet to have a stable orbit?

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