[tex]{ \huge \sf Question : } [/tex]

[tex] \textsf{Two identical stars of mass M orbit around their } [/tex][tex] \textsf{centre of mass. Each orbit is circular and has } [/tex][tex] \textsf{radius R, so that the two stars are always on } [/tex][tex] \textsf{opposite sides on a diameter.} [/tex]

[tex] \textsf{(a) Find the gravitational force of one star} [/tex][tex] \textsf{ on the other.} [/tex]

[tex] \textsf{(b) Find the orbital speed of each star} [/tex][tex] \textsf{ and the period of the orbit.} [/tex]

[tex] \textsf{(c) Find their common angular speed.} [/tex]

[tex] \textsf{(d) Find the minimum energy that would be} [/tex][tex] \textsf{ required to the separate the two stars} [/tex][tex] \textsf{ to infinity.} [/tex]

(e)[tex] \textsf{ If a meteorite passes through this centre} [/tex][tex] \textsf{ of mass perpendicular to the orbital plane} [/tex][tex] \textsf{ of the stars. What value must it speed exceed} [/tex][tex] \textsf{ at that point if it escapes to infinity from the } [/tex][tex] \textsf{star system} [/tex]

[tex] \texttt{I need proper Explanation} [/tex]~​