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 kinetic energies of the two stars `(K_(m) //K_(M))` 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 .

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 .

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

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)))) .