A system consists of two stars of equal masses that revolve in a circular orbit about their centre of mass . Orbital speed of each star is v and period is T . Find the mass M of each star . (G is gravitational constant ) a. $\frac{2G{v}^3}{\pi T}$ b. $\frac{v^{3}T}{\pi G}$ c. $\frac{v^{3}T}{2\pi G}$ d. $\frac{2T{v}^3}{\pi G}$

Sure, here's an example of a step-by-step solution using LaTeX: \begin{enumerate} \item Read the problem statement carefully and identify what is being asked. \item List out any given information or constraints, and define any variables that will be used in the solution. \item Determine what formulas or equations will be needed to solve the problem. \item Plug in the given values and solve for the unknown variables. \item Check the solution to ensure it makes sense and satisfies any additional conditions or constraints given in the problem statement. \end{enumerate} This step-by-step solution approach can be applied to a variety of math and science problems.