Two satellites of equal mass, \(S_1\) and \(S_2\), orbit the Earth. \(S_1\) is orbiting at a distance \(r\) from the Earth’s center at speed \(v\). \(S_2\) orbits at a distance \(2r\) from the Earth’s center at speed \(\dfrac{v}{\sqrt{2}}\). The ratio of the centripetal force on \(S_1\) to the centripetal force on \(S_2\) is