Question

In a double star, two stars one of mass m₁ and another of mass m₂ , with a separation d, rotate about their common centre of mass. Find :

(a) an expression for their time period of revolution,

(b) the ratio of their kinetic energies,

(c) the ratio of their angular momenta about the centre of mass , and 

(d) the total angular momentum of the system,

Answer 1

Solving these two equations we get,

The centripetal force is provided by gravitational force,

Solving these equations, we get