Tuesday, November 9, 2010

Motion of the centre of mass of earth-moon system

The moon moves around the sun in circular orbit and the earth moves around the sun in an elliptical orbit. Comparing of mass of earth is far greater than the mass of the moon such that the gravitational force between the earth and the moon treated as internal forces for the earth-moon system. But earth-sun system, it is quite opposite and the gravitational force between the sun and the earth-moon system is treated as external force such that the motion of the centre of mass of the earth-moon system is in elliptical path around the sun. Suppose a stationary body explodes in different fragments with velocities v1 and v2 in different directions, then
(v1/v2)=(m2/m1)

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