A binary star system consists of two stars A and B which have time period `T_A and T_B, radius R_Ba` and mass `M_a and M_B.` Then

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

An isolated triple star systerm consists of two identical stars, each of mass m and f fixed star of mass M . They revolve around the central star in the same circular orbit to radius r . The orbiting stars are always at opposite ends of a diameter of the orbit. The time period of revolution of each star around the fixed is equal to:

An isolated triple star systerm consists of two identical stars, each of mass m and f fixed star of mass M . They revolve around the central star in the same circular orbit to radius r . The orbiting stars are always at opposite ends of a diameter of the orbit. The time period of revolution of each star around the fixed is equal to:

Consider a binary star system consisting of two stars of masses M_(1) and M_(2) separated by a distance of 30AU with a period of revolution equal to 30 years. If one of the two stars is 5 times farther from the centre of mass than the other, show that the masses of the two stars are 5 and 25 times that of the sun.

A certain triple-star system consists of two stars, each of mass m, revolving about a central star, mass M, in the same circular orbit. The two stars stay at opposite ends of a diameter of the circular orbit, see figure. Derive an expression for the period of revolution of the stars, the radius of the orbit is r.