Titan is the largest moon of Saturn, and the only moon in the solar system known to have a substantial atmosphere. Its radius is easily measured to be 2570km. Since it doesn't have a satellite itself it's not obvious to us how we could determine its mass. Suppose an astronaut of mass 60kg visits and finds her weight to be 81N. What is Titan's mass?

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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.