The distance between two stars of masses 3M S and 6M S is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and M s is the mass of the Sun. The two stars orbit around their common centre of mass in circular orbits with period nT, where T is the period of Earth's revolution around the Sun. The value of n is______.
Text Solution
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(9)
Both will revolve about common center of mass
…(i)
…(ii)
Solving equation (i) and (ii) we get
…(iii)
For the motion of earth around Sun
...(iv)
From (iii) and (iv)
T' 2 =81T 2 T' = 9T
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