The thing that I notice about this scene, every time that I watch STTMP is that the transport, carrying Kirk and Scotty has to go thru a pool of light, so that it can back up to the docking port. You can see the pool of light on the hull surface, and when it hits the one side of the transport, there is no shadow on the Enterprise hull surface, as you would expect there to be.
Or, is it just me?
No, it's not just you.
It can only work if the point of view is almost in line with the lamp, or nearly coincident to it, and even in those cases, not really well either.
it is about to happen.