Distance between two stars of masses `3M_S` and `6M_S` is 9R.R is the mean distance between Earth and Sun and `M_S` is mass of Sun. Two stars orbit around their common center of mass in circular orbits with period nT. Value of n 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 :

If a planet of mass m is revolving around the sun in a circular orbit of radius r with time period, T then mass of the sun is

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.

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

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.

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 binary star has a time period 3 yeas (time period of earth is one year) while distance between the earth and the sun. Mass of one star is equal to mass of the sun and mass of other is 20n times mass of the sun then calculate n .

In a binary star system one of the stars has mass equal to mass of sun (M) . Separation between the stars is four times the average separation between earth and sun. Mass of the other star so that time period of revolution of the stars each other is equal to one earth year is