Binary stars rotate under mutual gravitational force at separation `2(G/(omega^(2)))^(1/3)`, where `omega` is the angular velocity of each of the star about centre of mass of the system. If difference between the mass of stars is `6` units. Find the ratio of mass of bigger star to smaller star.

Binary stars of comparable masses rotates under the influence of each other's gravity at a distance [(2G)/(omega^(2))]^(1//3) where omega is the angular velocity of each of the system. If difference between the masses of two stars is 6 units. Find the ratio of the masses of smaller to bigger star.

The small dense stars rotate about their common centre of mass as a binary system, each with a period of 1 year. One star has mass double than that of the other, while mass of the lighter star is one-third the mass of the Sun. The distance between the two stars is r and the distance of the earth from the Sun is R , find the relation between r and R .

The small dense stars rotate about their common centre of mass as a binary system, each with a period of 1 year. One star has mass double than that of the other, while mass of the lighter star is one-third the mass of the Sun. The distance between the two stars is r and the distance of the earth from the Sun is R , find the relation between r and R .

The small dense stars rotate about their common centre of mass as a binary system, each with a period of 1 year. One star has mass double than that of the other, while mass of the lighter star is one-third the mass of the Sun. The distance between the two stars is r and the distance of the earth from the Sun is R , find the relation between r and R .

The two components of Procyon have a separation of 4.55'' and period o 40.6 uears. If the distance of the binary is 11.3 light years, calculate the sum of the masses of the two stars in solar units. If the ratio of their masses is 3:1 , find the mass of each star.

In a binary star system one star has thrice the mass of other. The stars rotate about their common centre of mass then :