A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital period of 155 minutes.  What is the maximum interval the satellite could maintain a communication link with a ground station?  Assume the satellite passes directly overhead the station, but must be at least 15° above the horizon to establish and maintain the communication link.  Report your answer in minutes using three significant digits (e.g. 123).  What is the maximum communication interval in minutes? (Answer: 30.1 Show steps)

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.