Enterprise would literally have to accelerate to orbital velocities from a standing start--up to around 10km/s--then cancel that velocity, change directions, return to its original position, then accelerate BACK to orbital velocity all over again.
And that's what starships do for a living.
No, that's what SHUTTLEs do for a living. Starships are designed to travel between star systems.
Although there'd be absolutely no reason to "return to its original position". You still think in terms of the satellites being deployed from a single point in a spread of some sort.
Not the same point, the same ORBIT. I spent way too much time working on these sorts of problems in college to pretend that what you're proposing is in any way faster or more efficient than plane-change orbital phasing. Instead of the Enterprise using her engines to boost those satellites, then reverse course, return to the launch orbit, boost the satellite, reverse course, return to launch orbit, boost satellite, etc etc (the visuals from TOS-R indicate nothing even remotely similar tot his, by the way) one simply deploys all the satellites and has them perform an orbital plane change so they all cross the equator at the same time. Again, this appears to be exactly what V'ger did in TMP, and lord knows V'ger had enough power to do it the hard way if he wanted to.
Where is the intelligence in the expending greater resources without any specific advantage in that expenditure?
In simplicity, in streamlining, in saving time. Nothing measurable would be gained by "going with the flow", either.
But it DOESN'T save time, and since the powered orbit method would require several dozen different impulse maneuvers it isn't streamlined either. It is, again, like driving your car around the block instead of walking next door.
Police cruisers don't shut down the engine when going downhill, either, even though that would give them a slight edge in fuel consumption.
False analogy. What you're suggesting is equivalent to a police cruiser turning around and driving backwards, in drive, using the engine to slow itself down. This is considerably more complicated and not particularly more effective than simply using the BRAKES to slow yourself down.
Well, for starters, she must defy the rocket equation to get around at sublight.
Since when? It's never been canonically established that the Enterprise NORMALLY moves at anything close to relativistic velocities at "sublight" velocities. Visually, we have datapoints that "impulse power" can be anything from 60mph to .5c, depending on the plot.
A starship is not a spacecraft. It's a storytelling vehicle, with enough known and unknown quantities to render it essentially incapable of behaving like a rocket.
A "storytelling vehicle" has any properties it needs to relevant to the plot, including but not limited to behaving exactly like a rocket.
A spacecraft, on the other hand, has certain properties implicit in the nature of a man-made craft that travels in space based loosely on known scientific principles and future technology.
Which just goes to prove that it doesn't pay to be pennywise.
Evidently it does in Star Trek, hence the addition of impulse engines and thrusters.
Neither of which need see any use in orbital maneuvering, ever.
Yes, because using your faster-than-light space warping stardrive for orbital maneuvering makes SO much more sense.
Hmh? Scotty says they'll be out of communicator range if they need to flee.
Yes. IF they need to flee. Note here that communicator range is a function of distance, NOT the ship's position in orbit of the planet.
Why would they? They didn't have any idea of where and when the Enterprise would return, or what our heroes would be interested in. At no point did they express awareness that there'd be surface teams to pick up, save for Picard's posse at the lion's den.
And given that they KNEW about Picard's group, it makes sense that they would be in position over the Borg compound to prevent Enterprise from interfering with Lore's plans. Most of the away teams were, of course, scattered around within a few kilometers of that compound. So IF the Borg were in a powered orbit, then Crusher would have had to beam them from the opposite side of the planet in order to get them as quickly as she did.
In this case, you'd have to come up with a concrete example of a starship NOT being able to beam someone up simply because of their position around a particular planetary body. AFAIK, this has never happened even once in the entire history of Star Trek.
Mine? It was you who brought up this example. My general point is that natural orbits don't make sense
Yes, but you support this point by citing possible scenarios and alternatives that make even less sense. There are, for sure, plenty of reasons to prefer powered orbits under certain circumstances, but to call them standard procedure is one hell of a leap. I refer, again, to the Harrier example; just because an aircraft can defy gravity with engine power alone doesn't mean Harrier pilots prefer to hover instead of flying or landing.
and that transporters are usually depicted as incapable of penetrating any amount of rock
Except when they DO. As in TWOK (Deep within Regula) and in TNG "Bloodlines" where Jason Vigo is beamed out of a cave two kilometers underground.
It's doubtful that ordinary rock is any hindrance on transporter operations to begin with. It's even more doubtful that a line of sight is ever required with any restrictions less substantial than some fancy mineral or a deflector shield.
If "Descent" offers counterevidence, then bringing it up might be of interest - but why would the idea of the Borg hovering over some random spot of the planet and not another be of any interest?
Because the Borg wouldn't be there unless Lore called them to protect his compound. And the Enterprise wouldn't be there except looking for Data, who went to Lore's compound. Ergo, IF the Borg were in a powered orbit hovering over anything at all, Enterprise would have had to get past them to get a line of sight on the transporter team.
The logic of the episode either precludes powered orbits (no one was hovering over anything at all and the Borg were guarding the planet in its entirety) or precludes line-of-sight transport (doesn't matter whether you're hovering or not, if you can scan it you can beam it).
Of course, the best datapoint we have comes from Mirror, Mirror, where we have:
SPOCK: Planet's rotation is carrying primary target beyond arc of phaser lock.
SULU: Shall I correct orbit to new firing position?
KIRK: No.
SPOCK: Lock on to secondary city.
SULU: Aye, sir.
[/quote]
Whatever it is you think this type of "orbit" might be, one thing it is NOT is a hovering powered orbit maintaining position over a target city. Sulu either means that Enterprise is parked at some sort of sun-synchronus orbit and not even orbiting the planet (a strong possibility) or he's referring to the relative rotation of the planet as Enterprise comes around in its orbit. There are lots of ways Sulu could correct a natural orbit to keep the target in range longer, or bring it back into range sooner, or even--in the event of some kind of highly-inclined nearly polar orbit--execute a plane change that would actually overtake the planet's rotation and bring the target even closer. A sun-synchornus orbit could accomplish the same thing if Enterprise dropped into a lower/higher orbit change relative position to the planet.
But a POWERED orbit has none of these features; Enterprise would be able to move to any point around the planet it wanted and stay there forever. There are few if any reasons for the ship to not already having been in that orbit if they were getting ready to bomb them anyway.
Crusher warps in with knowledge of the Borg ship's whereabouts. She then starts beaming up 41 people she didn't beam up the previous time - thus probably people from the "shadow side" of the initial beam-up run.
There wasn't anyone ON the "shadow" side. They were all within a few dozen kilometers of the compound, remember?
Picard had not divulged any information of importance (that we'd know of), and the traitorous Data was not privy to any information about the away teams.
Irrelevant, since Picard HIMSELF had been captured and Lore probably assumed Enterprise would be along soon to rescue him. That alone explains the sudden presence of the Borg ship in orbit.