A satellite in an elliptical orbit has a speed of 9.00 km>s when it is at its closest approachto the Earth (perigee). The satellite is 7.00 * 106 m from the center of the Earth at thistime. When the satellite is at its greatest distance from the center of the Earth (apogee),its speed is 3.66 km>s. How far is the satellite from the center of the Earth at apogee?1RE = 6.37 * 106 m, ME = 5.97 * 1024 kg

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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.