This Seeking Tech guide will show you how to unlock the Royally Stuck trophy in Astro Bot. You can do so by taking the following steps:
1. You first need to rescue the prince from the Downsize Surprise level.
2. You then need to obtain the Rolling Star prize from the Gatcha Lab.
3. Once you are ready, find the prince at the Crash Site level.
4. Afterwards, hit him so that he would start rolling his sphere around. You then need to make contact with the sphere to unlock this trophy.