A double star is a system of two stars rotating about their centre of mass only under their mutual gravitational attraction. Let the stars have masses m and 2 m and let their separation be 1 . Their t

Question

A double star is a system of two stars rotating about their centre of mass only under their mutual gravitational attraction. Let the stars have masses m and 2 m and let their separation be 1 . Their time period of rotation about their centre of mass will be proportional to

TestHub · Accepted Answer

l 2 Gh ( 2 m ) ​ =  n ( 3 2 l ​ ) ω 2 l 2 m ​ ∝ ω 2 ∝ ( Timeperiod ) 2 1 ​ T ∝ 1 3/2 T ∝ 1/ m ​

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