How to make it so planes landing on aircraft carrier don't move the ship?

I have a fighter jet I am working on for an update to an old game of mine.

Everything works well, except when the fighter jet lands on the aircraft carrier, it starts to move the aircraft carrier, as seen in this video.

Depending how fast the jet was going, this could be made far worse. How would I fix this? For reference, the plane uses LinearVelocity & AlignOrientation to move, the aircraft carrier uses them as well + AlignPosition to move

Try setting the parts in the jet to massless (I believe it’s under custom physical properties).