Two spherically symmetric planets with no atmosphere have the same average density, but planet B has twice the radius of planet A. A small satellite of mass mA has period TA when it orbits planet A in a circular orbit that is just above the surface of the planet. A small satellite of mass mB has period TB when it orbits planet B in a circular orbit that is just above the surface of the planet. How does TB compare to TA?

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Two spherically symmetric planets with no atmosphere have
the same average density, but planet B has twice the radius of planet A.
A small satellite of mass mA has period TA when it orbits planet A in a
circular orbit that is just above the surface of the planet. A small satellite
of mass mB has period TB when it orbits planet B in a circular orbit that
is just above the surface of the planet. How does TB compare to TA?

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