Adrift
Nagate finds Shizuka but Tsugumori runs out of energy and the pair becomes adrift in space. Meanwhile, Kobayashi is urged by Nagate's dorm manager Lila Hiyama to organize a search party for him, but she refuses as well. Nagate and Shizuka then spends their days inside the derelict Tsugumori waiting for the ship to re-energize but their supplies run out faster than planned and they are put in a dire situation until a large number of guardian pilots, disobeying the captain's orders, appear to rescue them.
Aired 09/05/2014EP 5 - Adrift

Knights of Sidonia
It's been a thousand years since the Gauna, a strange alien race with no known method of communication, destroyed the solar system. A portion of humanity managed to escape using enormous "seed ships" like the Sidonia, which have allowed them to maintain the population while drifting through space. Nagate Tanikaze is a young man who has been raised deep in the bowels of the ship. When he goes into training to pilot the huge robotic weapons known as Gardes, Nagate is entrusted with piloting the legendary unit known as Tsugumori. Nagate and his fellow pilots put their lives on the line against the Gauna, in the ultimate battle for the survival of humanity!
(Source: AniDB)