Three stars each at mass m, moving in a circular orbit of radius or about a stationary central star of mass M. The three identical stars orbits in the same sense and are symmetrically located with respective each other (The centre of all stars lie in one plane). Considering gravitational force of all remaing bodies on every star, the time period of each of the three stars is

Three stars each at mass m, moving in a circular orbit of radius or ab

1.	Three stars each at mass m, moving in a circular orbit of radius or about a stationary central star of mass M. The three identical stars orbits in the same sense and are symmetrically located with respective each other (The centre of all stars lie in one plane). Considering gravitational force of all remaing bodies on every star, the time period of each of the three stars is
Answer» <html><body><p>`2pisqrt((r^(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>))/(G[m + (m)/(3)]))`<br/>`2pisqrt((r^(3))/(G[m + (m)/(<a href="https://interviewquestions.tuteehub.com/tag/sqrt3-3056952" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT3">SQRT3</a>)]))`<br/>`2pisqrt((r^(3))/(G[m + <a href="https://interviewquestions.tuteehub.com/tag/3m-310999" style="font-weight:bold;" target="_blank" title="Click to know more about 3M">3M</a>]))`<br/>`2pisqrt((r^(3))/(G[m + sqrt3m]))`</p>Answer :B</body></html>