After doing the Eclipse you have a limited time. If you are running out of time, you can activate the Eclipse next round again.
Run over to the M14's debris that blocks you to the next portion of the map, Go through the spikes and go right down the small hill and to the entrance of the cave there. Now stop and turn around.
You will see a giant statue of a man and another one of the same buttons that activated the Eclipse, interact with him by pressing action button and he will talk.