Here is the full list of all 9 Children of a Dead Earth achievements.
Beat the game.
Beat the game with Silver on all levels.
Beat the game with Gold on all levels.
Completed at least one level.
Emerged victorious from at least one combat.
Used a precision strike to disarm an enemy craft.
Unlocked Ship Design through combat.
Unlocked Module Design through combat.
Defeated an entire gas giant system with a single ship.