This is quite obvious if, like me, you've played the Star Trek MMO where the game designers were inspired by the motion of the ships in the movies. I think it's most noticeable when the Bird of Prey in Star Trek III attacks the Enterprise.

Is there a canon explanation for why the ships in Star Trek bank when turning?

Please only give in canon answers, there are any number of debatable non-canon reasons, but that's not what I'm asking for.