Imagine that a space colony living in a large vessel is in a circular orbit at a distance of 55 km from the centre of a neutron star. The neutron star has a radius of 10.0 km and a mass of 4.4 X 1030 kg. (a) Find the velocity of the vessel in its orbit. (b) Find the period of the orbit.

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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.