View Full Version : The real value of the warp factor.


BEBruns
11-19-2006, 08:53 PM
OK. Entering full Trekkie geek mode here.

It has long been established that in the orignal series, the warp factor was the cube root of the velocity divided by the speed of light. In other words, Warp 2 is 8 times the speed of light. Warp 3 is 27 times the speed of light, etc.

However, as I rewatch the series on DVD and in the new enhanced versions, it is obvious this wasn't the intent when the show was in production. For instance, in "Arena" at one point they state that they are traveling at warp 6 (and it is very dangerous to sustain warp 7 for any length of time). Kirk asks there location and the navigator says "22.3 parsecs past the latest chart limit."

Unfortunately, Warp 6 translates to 216 times the speed of light, or a little less than .6 light years per day. At this speed, it would take about 4 months to travel 22.3 parsecs (72.9 light years).

In a number of episodes, the ship is traveling at warp for three or four days and it is implied that they are traveling a great distance. Actually, this would only take them to a neighboring star system. In fact, it would take about a week to get from Earth to Alpha Centauri.

Then there is "The Squire of Gothos." It is stated several times that Trelane's planet is 900 light years from Earth. If you traveled in a straight light at Warp 6 with no stops, this would take over 4 years. (Of course, the episode also implies that the show takes place around the year 2700, but that's easier to explain away.)

Apparently, the warp factor was created for the same reason they used stardates. It allowed them to imply great speed without pinning down the actual velocity.

So two questions. Where did this the warp factor cubed formula come from? I believe it was in THE MAKING OF STAR TREK (published between the second and third seasons), but who came up with it? Is there any on-screen evidence to support this figure? The only one I remember is the first episode of ENTERPRISE, where Archer gave the speed in kilometers per second. (Of course that episode also said the Klingon homeworld was only 4 days away.)

Secondly, what should the actual formula be? Warp factor to the fourth power times the speed of light works out better, although even then there are some problems. I doubt they were pursuing the Gorn ship for three weeks.

And don't get me started with the multi-plane stars speeding past the ship.

John P
11-19-2006, 11:03 PM
Fairly sure Franz Joseph came up with the Warp-Cubed idea in the ST Tech Manual. Could be wrong, but that's how I recall it.

ilbasso
11-19-2006, 11:06 PM
I think Shatner's quote on his first Saturday Night Live appearance ("It's just a TV show") reflects the attitude of the writers etc. in TOS. I don't think they ever expected people to try to put the star dates in chronological order and map the ship's voyages (which don't make any logical sense) or figure out precisely what the warp factor numbers meant. I mean, heck, they couldn't even get the name "Star Fleet Command" right from one show to another. It was only after the show attained mythic status that people started doing things like assigning real values to the warp factors. [I caught Wrath of Khan on TV the other night, and they were using 1/4 impulse to maneuver out of space dock - wouldn't that be 1/4 the speed of light, or over 46,500 miles per SECOND?! Mighty fast speed to be clearing space dock.)

You're right, the first time I heard the cube formula was in The Making of Star Trek. Maybe the next go-round of Trek Enhanced will correct script errors and other nonsense, but I doubt it!!

scotpens
11-20-2006, 04:19 AM
I mean, heck, they couldn't even get the name "Star Fleet Command" right from one show to another.You mean Star Trek had inconsistencies??

In "Miri," a reference is made to "Space Central," and in a couple of other early episodes, Kirk mentions something called the "United Earth Space Probe Agency." And what about Uhura's gold uniform? And the changing angle of Spock's eyebrows? And the change from lithium to dilithium crystals? And whatever they were called, what were they for, anyway?I caught Wrath of Khan on TV the other night, and they were using 1/4 impulse to maneuver out of space dock - wouldn't that be 1/4 the speed of light, or over 46,500 miles per SECOND?! Mighty fast speed to be clearing space dock.)There's a difference between power and velocity. Due to the ship's mass and inertia, it would take some time to accelerate to near-lightspeed even under full impulse power. It's like putting any object in motion — takes a lot more power to get it moving than to keep it moving. Of course, the normal laws of Newtonian physics wouldn't apply when traveling at warp speed, but that's a whole ’nother discussion.

Okay, I'm a geek!

Zombie_61
11-20-2006, 06:05 AM
Perhaps I'm remembering wrong, but I seem to recall reading a definition of Warp Speed years ago (I think it was in the Star Trek Technical Manual, but I could be mistaken) and the formula was simply the speed of light multiplied by itself the number of times specifed by the "warp" speed. Example:

Warp 1 = speed of light
Warp 2 = (speed of light) x (speed of light)
Warp 3 = (speed of light) x (speed of light) x (speed of light)
Warp 4 = (speed of light) x (speed of light) x (speed of light) x (speed of light)
Warp 5 = (speed of light) x (speed of light) x (speed of light) x (speed of light) x (speed of light)

And so on. Does this sound familiar to anyone else?

BEBruns
11-20-2006, 03:12 PM
Perhaps I'm remembering wrong, but I seem to recall reading a definition of Warp Speed years ago (I think it was in the Star Trek Technical Manual, but I could be mistaken) and the formula was simply the speed of light multiplied by itself the number of times specifed by the "warp" speed. Example:

Warp 1 = speed of light
Warp 2 = (speed of light) x (speed of light)
Warp 3 = (speed of light) x (speed of light) x (speed of light)
Warp 4 = (speed of light) x (speed of light) x (speed of light) x (speed of light)
Warp 5 = (speed of light) x (speed of light) x (speed of light) x (speed of light) x (speed of light)

And so on. Does this sound familiar to anyone else?
So Warp 2 is 900 billion kilometers squared per second squared.

Huh?

Carson Dyle
11-20-2006, 03:13 PM
Perhaps I'm remembering wrong, but I seem to recall reading a definition of Warp Speed years ago...
SNIP
Does this sound familiar to anyone else?

Yup.

I could be mistaken, but I believe the aforementioned definition can be found in "The Making of Star Trek."

I don't recall the technical specifics of the formula.

toyroy
11-20-2006, 06:39 PM
FWIW, the relevant info is on p. 191 of the eighth printing of the first edition of "The Making of Star Trek". Warp 1=c, warp 3=24c, warp 6=216c, warp 8=512c.

A simple cubic relation would account for the above, except warp 3 would be 27c, not 24c. Did later editions change this?

ClubTepes
11-22-2006, 10:24 PM
I do like the notion that it should take some time to get somewhere.
While I agree, I don't think thay thought it through that much, it was easier to grasp that space was huge when you heard that it would take a number of days for a message to get back to starfleet for example (I'm not going to quote episodes or lines).

Towards the end of the movies, everything in the galaxy was only a few minutes away which 'cheapened' things for me storywise.

But, in TMP when Scotty said that Vulcan was only 4 days away, he said it with some pride as to how fast the ship could go now after the refit, as opposed to however long it took before. That was alright.