It's insignificant in terms of the "boost" it gives them in moving toward Earth. A quick calculation shows that it would take on the order of 40 hours to fall to Earth from rest at that distance. Not 5 minutes.
That assumes a relative velocity of exactly zero with respect to the Earth's surface the moment their engines shut down. We don't even know if this is the case during the EVA.
Since their position with respect to the moon doesn't really change during the entire encounter
You don't know that. Even a relatively slow (by Trek standards) orbital velocity of 10 to 15km/s wouldn't be noticeable in the short timeframe we're seeing; at that velocity alone you wouldn't start to notice a change in the moon's position for at least an hour, and you would approach the Earth in about six hours.
On the other hand, Enterprise would have been heading for Earth under impulse power at this point, using the usual subspace trickery to reduce its inertial mass and allow a couple of thrusters to push it along. How close was it to Earth when the field collapsed? Going by visuals alone, ALOT closer than 230,000km.
and furthermore the Enterprise maneuvers to be co-moving with the Vengeance
You have that backwards: Vengeance maneuvers to be co-moving with the Enterprise, which was forced out of warp in a burst of gunfire.
It won't make a difference, unless they were already plunging toward Earth.
Exactly.
Why are you so sure that they
weren't? Especially since Kirk had earlier ordered Sulu to do exactly that?
Vengence blows up, Enterprise heads for Earth at one quarter impulse power. Under normal circumstances that would be a five minute flight; under a sudden power failure and loss of vessel control that turns into more like twenty minutes of twisty-tumbling insanity.
It's not that hard to explain. And the interesting thing is, it's such a breathtakingly cool scene that most of us
don't mind looking for explanations. It would be one thing if it was a pointlessly concocted idiocy that served no purpose whatsoever (e.g. the dune buggy chase in Nemesis), but in this case we're forced to invoke the
Rule of Cool.
Using Newtonian mechanics is bad science, huh.
Only when you use it incorrectly.