A satellite is placed in a noncircular orbit about the Earth. The farthest point of its orbit (apogee) is 4 earth radii from the center of the Earth, while its nearest point (perigee) is 2 Earth radii from the Earth's center. If we define the gravitational potential energy U to be zero for an infinite separation of Earth and satellite, find the ratid U(perigee)/U(apogee)