Rinne No Lagrange - Akatsuki No Memoria summary:

From MangaHelpers: This manga is related to the anime, "Rinne no Lagrange", although it has a different storyline. On the planet of De Metorio, Izo is a student in the royal pilot training facility, together with his few classmates, Kirius, Arei, and Sanu. One day, they get a new student teacher who happens to be De Metorio royalty, Princess Yurikano. She runs things a lot differently than Izo and the others are used to, but there's more to this princess than meets the eye. Will Yurikano be able to get Izo and the others to accept her training, and will she be able to survive the enemies that are gathering against her? [tethysdust]