Take a look at the map of the planet that you are on. Since you are a wookiee, I'm going to assume that you are on Kashyyyk. If that's not the planet, you'll have to look at a different map.
In any case, on this map you can locate cities that have a starport (if there are any). In this case, the city located at (5, 3) contains a starport because it has the special "City-With-A-Starport" image. ;) You'll need to get to that city to gain access to that starport.