An artificial satellite is revolving around a planet fo mass M and radius R, in a circular orbit of radius r. From Kepler's third law about te period fo a satellite around a common central bdy, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show usingn dimensional analysis, that `T = k/R sqrt((r^3)/(g))`, where k is a dimensionless constant and g is acceleration due to gravity.