Stellvia of the Universe [TV]

It is the year 2356 AD, 189 years after a shockwave from a distant supernova decimated the Earth. Since that fateful day, humanity has begun training for a final mission to protect the planet from the inevitable oncoming 2nd shockwave – a mission whose failure means the annihilation of mankind. For Katase and her friends, their training at the foundation Stellvia is just the beginning of an adventure that could lead to saving the world, or seeing its end…
Source: Anime-Planet