The spaceship was added in Android 1.5.1 and IOS 1.4.9. The spaceship shows up on the home screen and upon tapping it, it will give you a thought from a random RFA member, with their silhouette in the background with their respective colors. Every character has 1-2 thoughts per day.
The thought, while random, seems to also loosely follow the storyline at that point in time.
As time goes by the spaceship will move closer to a grey bag of chips in the bottom right-hand corner; upon reaching it, the bag will gain color. If you tap on it, a small quote will pop up and you will be given a number of hearts and/or hourglasses depending on what the quote was. Visit here to see the quotes.