1. Tardigrade
  2. Question
  3. Physics
  4. A ''double star'' is a composite system of two stars rotating about their center of mass under their mutual gravitational attraction. Let us consider such a ''double star'' which has two stars of masses 'm' and '2m' at a separation '1'. If T is the time period of rotation about their enter of mass then.

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Q. A ''double star'' is a composite system of two stars rotating about their center of mass under their mutual gravitational attraction. Let us consider such a ''double star'' which has two stars of masses 'm' and '2m' at a separation '1'. If T is the time period of rotation about their enter of mass then.

Gravitation

Solution:

consider origin at pratical of mass 2m, we have centre of mass is 1/3 and 21/3 from m. $\frac{2l}{3} \, \omega^2 = \frac{Gm(2m)}{l^2}$ then find T