While the Ship's Control Console has a wheel for manual steering, both steering and throttle can be controlled with trackballs, with the adjustments showing up on the screens for each station.
I've never been on the bridge of a ship, but I've operated a lot of vehicles including boats, ATVs, snowmobiles, cars, bulldozers and once, an army Blackhawk helicopter simulator. These very disparate vehicles had one thing in common: there's a relationship between the position of any movement-related control and the movement commanded, and there are stops at the limits of control input.
Trackballs do not have either property, and I'm having trouble thinking of advantages they might offer in this application.