The masses of two stars are `m_(1)` and `m_(2)`, and their separation is l. Determine the period T of their revolution in circular orbits about a common centre.

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

A pair of stars rotates about a common centre of mass. One of the stars has a mass M and the other m . Their centres are a distance d apart, d being large compared to the size of either star. Derive an expression for the period of revolution of the stars about their common centre of mass. Compare their angular momenta and kinetic energies.

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 pair of stars rotates about their centre of mass One of the stars has a mass M and the other has mass m such that M =2m The distance between the centres of the stars is d (d being large compared to the size of either star) . The period of rotation of the stars about their common centre of mass (in time of d ,m ,G) is .

A pair of stars rotates about their centre of mass One of the stars has a mass M and the other has mass m such that M =2m The distance between the centres of the stars is d (d being large compared to the size of either star) . The ratio of the angular momentum of the two stars about their common centre of mass (L_(m)//L_(m)) is .

If a time period of revolution of a satellite around a planet in a circular orbit of radius r is T,then the period of revolution around planet in a circular orbit of radius 3r will be