Question

In a double star system, two stars of masses m,
and m, seperated by a distance d rotate about
their centre of mass. Then their common
angular velocity would be​

Answer 1

Answer:

Explanation:

The gravitational force between the masses provides the necessary centripetal force. i.e. Gm1m2x2=m1r1ω2....(1)

The distance of centre of mass from m1 is

r1=m2xm1+m2....(2)

From (1) and (2) Gm1m2x2=m1m2xm1+m2ω2

ω2=G(m1+m2)x3⇒ω=G(m1+m2)x3−−−−−−−−−−−√

T=2πω,T=2πx3G(m1+m2)−−−−−−−−−−−√