Two satellites A and B of equal mass move in the equatorial plane of the earth, close to the earth’s surface. Satellite A moves in the same direction as that of the rotation of the earth while satellite B moves in the opposite direction. Calculate the ratio of the kinetic energy of B to that of A in the reference frame fixed to the earth. (g = 9.8 ms –2 and radius of the earth = 6.37 × 10 6 m)
Text Solution
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Sol. Let 
and 
be the absolute anglar speeds of A and B. Since they are in the same orbit,
their time periods must be the same i.e. 
. Considering the dynamics of circular motion in the cases.
Now 
(velocity of B relative to E )
Therefore 
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