When entering the room with the defense system in it, follow these steps to complete the puzzle.

Step on the glowing "full moon" panel to retrieve the first axle.

Approach the levers on the middle of the platform, and turn it on these steps: right, up, left three times, and up two times. Step on the glowing New Moon to retrieve it.

Next, turn the levers up, right two times, and up two times. Then, step on the half moon panel to gain the third axle.

A "quarter moon" insignia marks the last axle. Turn the levers right and down. Step on the quarter moon to receive the last axle.

To bring the entire platform up, move the levers up, left and up.