For a satellite of mass m moving in a bound orbit around a planet of mass M, which of the following correctly states the signs (positive or negative) of its gravitational potential energy U, kinetic energy K, and total mechanical energy E at any instant?
a) U is negative, K is positive, and E is positive.
b) U is positive, K is positive, and E is negative.
c) U is negative, K is positive, and E is negative.
d) U is positive, K is positive, and E is positive.