To get the Imperious Sun Exotic Ghost Shell, you need to collect all 10 entries from the Shattered Suns lore book.

To get the Imperious Sun Exotic Ghost Shell, you need to collect all 10 entries from the Shattered Suns lore book. You can unlock five entries in this book by doing the Destiny 2 Preservation puzzle five times, and you can unlock the other five by collecting secret audio diaries at the end of Preservation. We have a walkthrough for the whole mission, as well as instructions for how to solve the puzzle and where to find all five audio diaries, to make it easy for you to get this Ghost Shell.
Keep in mind that you can complete the Preservation mission in Destiny 2 on your own and get all five audio diaries, but you can only solve the puzzle once per run and will need at least two other players to help you. This means you have to run the Preservation mission at least five times. You don’t have to finish it all, and there’s no limit to how many times a week you can do the puzzle. You can just finish the puzzle, go back to orbit, and start the mission over again.
Imperious Sun Exotic Ghost Shell in Destiny 2 preservation
To get the Imperious Sun exotic ghost shell in Destiny 2 Preservation, you need to complete the Presage mission and get the Luxurious Toast emote. Then, complete the Master version of Presage and open the hidden chest to obtain the key to the Spoils of War chest. Use this key to open the Spoils of War chest and you will have a chance to get the Imperious Sun exotic ghost shell.