Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is
v = GmR
v = Gm2R
v = 12 GmR
v = 4GmR
As gravitational force provides the centripetal force to the satellite to revolve around the earth,
G.m.m4R2 = mv2(R) ⇒ v = 12GmR