Determine the tension force of the cable connecting two satellites of mass m that orbit the Earth at distances R₁ and R₂ from its center so that the cable is always directed radially. Mass of the Earth M.
*) An ellipse with semi-axes a and b is obtained from a circle of radius a by reducing its size in one of the directions by k = ba times. The area of the ellipse is S = kπa2 = πab.