The force of gravity between two objects is determined by their masses and the distance between them, according to Newton's law of universal gravitation.
As the astronaut moves away from the space shuttle, the distance between the two increases. Since gravitational force decreases with the square of the distance, the force of gravity between the astronaut and the space shuttle will go down.
Therefore, the correct response is: it goes down for the astronaut and goes down for the space shuttle.