(e) Define the dimensionless variable (2) where r is the separation of the particles. Show that the dimensionless maximum separation Pmax = "max/ obeys an equation that depends on the input variables of the problem only through the dimensionless combination Gm2 (3) (f) Assume that 7 > 1. Find an approximate solution for fmax that is valid for large n. Then find the leading correction correction to this result by expanding in the small parameter 1/n. Your answer should have the form imux = f(n) 1+ (4) Find the function f and the constant c. Hint: First find f(n), the approximate solution for large 7. Then assume that the answer has the form of Eq. (4), and use the cubic equation for fmax to determine the constant c.