A spacecraft is in a circular orbit about the moon, 1.56 x 105 m
above its surface. The speed of the spacecraft is 1770 m/s, and the
radius of the moon is 1.74 x 106 m. If the moon were a smooth,
reflective sphere, (a) how far below the moon's surface would the
image of the spacecraft appear, and (b) what would be the apparent
speed of the spacecraft's image? (Hint: both the spacecraft and its
image have the same angular speed about the center of the
moon.)