AP Physics C: Mechanics
6.6 Motion of Orbiting Satellites
A satellite of mass \(m\) travels in a stable circular orbit of radius \(R\) with period \(T\) about a planet. The gravitational interaction is modeled by an attractive central force of magnitude \(F(r) = \dfrac{C}{r^n}\), where \(C\) is a positive constant and \(n\) is a real constant satisfying \(1 < n < 3\). The gravitational potential energy of the satellite-planet system is defined such that \(U(r) \to 0\) as \(r \to \infty\). Which of the following expressions represents the total mechanical energy \(E\) of the satellite-planet system?
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