Hook: Ship Hook (Giant Purple Square)The Damaged Koth Shuttle decoration fits into a ship hook (Nar Shaddaa, Tatooine and Yavin 4 only).
How to Get a Damaged Koth Shuttle Decoration
Cartel Pack Decorations
The Damaged Koth Shuttle decoration can be dropped from Battler Alliance Packs, which were released on the Cartel Market and bought with Cartel Coins. Cartel Packs, including the Battler Alliance Pack, include a random selection of items from the Battler Alliance collection of items. You aren't guaranteed to get a Damaged Koth Shuttle decoration from a Battler Alliance Pack, but it is one of the few ways to get a Damaged Koth Shuttle deco apart from buying it on the GTN from another player.
If you're looking to get a Damaged Koth Shuttle, the easiest way to get it is to head to the Galactic Trade Network (GTN) in SWTOR and buy it with credits from another player. If it's very rare and not available on the Cartel Market, you could try buying from the GTN and hope you get it.