The two stars in a certain binary star system move in circular orbits The first star `alpha` moves in an orbit of radius `1.00 xx 10^(9)km` The other star `beta` moves in an orbit of radius `5.00 xx 10^(8)km` What is the ratio of masses of star `beta` to the star `alpha` ? .

Assuming that the moon moves around the earth in a circular orbit of radius 3.8xx10^5 km in 27 days and the earth moves around the sun in a circular orbit of radius of radius 1.5xx10^8 km in 365 days, find the ratio of the masses of the sun and the earth.

Two stars of mass M_(1) & M_(2) are in circular orbits around their centre of mass The star of mass M_(1) has an orbit of radius R_(1) the star of mass M_(2) has an orbit of radius R_(2) (assume that their centre of mass is not acceleration and distance between starts is fixed) (a) Show that the ratio of orbital radii of the two stars equals the reciprocal of the ratio of their masses, that is R_(1)//R_(2) = M_(2)//M_(1) (b) Explain why the two stars have the same orbital period and show that the period T=2pi((R_(1)+R_(2))^(3//2))/(sqrt(G(M_(1)+M_(2)))) .

Two stars of mass M_(1) & M_(2) are in circular orbits around their centre of mass The star of mass M_(1) has an orbit of radius R_(1) the star of mass M_(2) has an orbit of radius R_(2) (assume that their centre of mass is not acceleration and distance between starts is fixed) (a) Show that the ratio of orbital radii of the two stars equals the reciprocal of the ratio of their masses, that is R_(1)//R_(2) = M_(2)//M_(1) (b) Explain why the two stars have the same orbital period and show that the period T=2pi((R_(1)+R_(2))^(3//2))/(sqrt(G(M_(1)+M_(2)))) .

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.

A triple star system 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 orbital velocity of the outer stars is:

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 orbital velocity of each star is

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 orbital velocity of each star is

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 orbital velocity of each star is

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 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: