Animating a vehicle with player inside

Hey guys,

I've built a space shuttle inside Unity using multiple parts, which I've then placed as childs inside a parent 'Shuttle' object. I made a simple lift-off animation for the shuttle, where it lifts off the ground slowly and then moves forward. When I trigger the animation while inside the shuttle, my player acts out the animation (I lift off the ground and move forward) but the shuttle doesn't move at all. It's very weird. When I play the animation inside Unity, it looks perfect, but in game, it doesn't move, only the player does.

Any ideas what's going on here? Thanks in advance.