A system consists of two stars of equal masses that revolve in a circular orbit about their centre of mass . Orbital speed of each star is v and period is T . Find the mass M of each star . (G is gravitational constant )

Two stars of masses m_(1) and m_(2) distance r apart, revolve about their centre of mass. The period of revolution is :

Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free space. The period of revolution is :

A binary star system consists of two stars of masses M_(1) and M_(2) revolving in circular orbits of radii R_(1) and R_(2) respectively. If their respective time periods are T_(1) and T_(2) , then

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The mass m of the outer stars is:

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The orbital velocity of each star is

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The total machanical energy of the system is

A double star is a system of two stars of masses m and 2m , rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to