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AP Physics C: Mechanics
6.6 Motion of Orbiting Satellites
IntermediateMCQMathematicalProportional Analysis17k
A top-down schematic view of two concentric circular orbits centered on a solid shaded circle representing a planet of mass \(M\). The outer orbit is drawn as a thin dashed circle of radius \(R_0\), indicated by a straight radial line from the center of the planet to the outer orbit labeled \(R_0\). A small solid black dot representing the satellite is located on the outer dashed circle. An inner orbit is drawn as a smaller concentric thin dashed circle of radius \(\dfrac{1}{4}R_0\), indicated by a radial arrow pointing from the center of the planet to the inner orbit labeled \(\dfrac{1}{4}R_0\). No other labels, lines, text, or axes appear.
Concentric circular orbits of a satellite around a planet.
A satellite of mass \(m\) travels in a circular orbit of radius \(R_0\) around a planet of mass \(M\). The satellite is transferred to a new stable circular orbit of radius \(\dfrac{1}{4}R_0\). What is the ratio of the satellite's new orbital frequency to its initial orbital frequency, \(\dfrac{f_{\text{new}}}{f_0}\)?

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