Using basic Pythagorean theorem & the map I linked above in previous posts.At the end of The Motion Picture, they mention to Spock they can take him to Vulcan in about 4 days from Earth.
That’s 4 days to go 16-light years, since Vulcan is established as being in the 40 Eridani A star system.
Just for argument sake, let’s say they weren’t talking about going to maximum warp when they mentioned taking Spock home, and maybe were going to do a slower cruising speed to Vulcan with that estimate. You might arguably still get a comparable speed to what the NX-01 was capable of doing, since it was a diplomatic mission where they’re trying to rush to Qo’Nos.
If you try to put TMP together with “Broken Bow,” it would imply Klingon space is a comparable distance from Earth as Vulcan. Although, that seems awfully close to the core systems of the Federation.
It's estimated that the distance between Earth & Kronos on that map is ≈ 4228.36 ly or 4229 ly for short.
Assuming the NX-01 was going at Warp Factor 5 on the TOS scale, it would've taken 12,208.12 days to cover that trip, not 4 days.
That's ~ 33.447 Years.
They would need to go Wf 72.82 on the TOS scale which isn't happening.
For reference, using my Warp Factor Scale 3.0 which is just the TNG Scale uncapped & deleting the "Hand Drawn curve to Infinity" after Warp Factor 9.
Seriously, that was the goofiest idea for Warp Factor Scale 2.0, but I digress.
The NX-01 would need to hit Warp Factor 47.42699487 to travel from Earth - Kronos in 4 days.
Those are speeds that 32nd Century Warp Drives are supposed to be running at.
I estimated that USS Discovery could cruise at Warp Factor Wf 57-58 after Spore Jumping to near the hole in the Galactic Barrier on the far side of the Galaxy and having to Warp Travel the rest of the way to the Galactic Barrier Wall.
I estimated that USS Discovery could cruise at Warp Factor Wf 57-58 after Spore Jumping to near the hole in the Galactic Barrier on the far side of the Galaxy and having to Warp Travel the rest of the way to the Galactic Barrier Wall.
So NX-01 isn't even going to come close.
It's just simple that the Writers goofed up, or there was another hidden "Under Space" passage that leads from Earth to Kronos in 4 days that we don't know about.
Man, I love how ST: Voyager writers created "UnderSpace" and any random Warp Drive can accidentally fall into it if you know exactly where in Space it is and ride it out to cover massive distances quickly.
The beauty of such a "Plot Device" Short Cut is GREAT IMO.
It explains SOO much.
^_^