Answer
The ratio $~~\frac{U_{perigee}}{U_{apogee}}~~~$ is equal to $~~2$
Work Step by Step
We can find the ratio of $\frac{U_{perigee}}{U_{apogee}}$:
$\frac{U_{perigee}}{U_{apogee}} = \frac{-\frac{G~M_E~m}{2~R_E}}{-\frac{G~M_E~m}{4~R_E}}$
$\frac{U_{perigee}}{U_{apogee}} = \frac{4~R_E}{2~R_E}$
$\frac{U_{perigee}}{U_{apogee}} = 2$
The ratio $~~\frac{U_{perigee}}{U_{apogee}}~~~$ is equal to $~~2$.
