Consider the following video (taken from here):
To me it looks like Voyager 1 will crash into Jupiter. Obviously Voyager 1 didn't crash into Jupiter, but at a glance it looks like it will.
What exactly is happening in that video/animation? How did it avoid crashing? I'm assuming the spacecraft didn't have enough fuel to perform a burn to insert itself into orbit, but maybe it executed a burn to slingshot around it?