Calculating Orbital Speed and Period of a Weightless Satellite

[missnuss]

1. Homework Statement : An artificial satellite revolves about the Earth at height H above the surface. If the radius of the Earth is R, calculate the orbital speed and the orbital period such that a person in the satellite will be weightless.

Homework Equations

The Attempt at a Solution

Alright, I have I= $$\sum$$ H ri^2 = $$\sum$$ HR^2= ($$\sum$$)R^2 = MR^2

 

[ideasrule]

The problem doesn't make sense. A person in a satellite will always seem weightless, because his center of mass coincides almost exactly with the satellite's, so he'll experience almost exactly the same acceleration for all time. A person in a satellite will also never be weightless, since Earth's gravity extends to infinity.