Warp versus Warp
(First wrote this ages ago but never before published)
Old Warp vs. New Warp
“Speed of plot” notwithstanding, in episodes of Star Trek two variants of warp speeds appear to be given. In the Original Series, alien ships are occasionally described as traveling at Warp factors of 10, 12 and 14, while it is often established in Next Generation-era episodes that Warp 10 is the upper limit for Warp velocities as it refers to an effectively infinite velocity. Conversely, ships are often described in TNG as taking 70 years to traverse large distances at Warp 9 when the Enterprise covers comparatively greater distances in much shorter times.
So what speeds do the term "Warp Factor" translate to?
Keeping with the “Old Style” warp, v=(w^3)c, where c is the speed of light, v is the velocity and w is the Warp Factor, which is then cubed. This value fits in with the “Maximum Cruise Velocities” often given in all series-it takes the Kelvins about 200 years to travel to our Galaxy from Andromeda while it would take a Starship 70 years to travel the distance which the Bajoran Wormhole covers.
These so-called “cruise velocities” do seem to work in all eras and Series-The first “NX” class vessels (launch date of NX-Enterprise: 2251) have a MCV of w5.4 (157c), Constitution-Class vessels about warp 7, Galaxy-class Starships w9 and Intrepid-class w9.95.
For the actual day-to-day speeds given on-screen to work, this formula is insufficient. For example, at certain periods in the Original Series, the Enterprise travels at around 600,000 times the speed of light. As a further example, Bajor is probably at least 2000 l.y. from Earth and it takes about a week to travel between the two planets, presumably above warp 8.
For warp velocities to fit in with “speed of plot” (not to mention managing an interstellar federation without it having to take eight years to get from one part to another) a formula of v=(w^4)c works between warp 5 and warp 8; after which
it increases rapidly in an empirical fashion up to infinite velocity at Warp 10.
This also allows the MCV given for each class of starship to be the maximum “New Style” on-screen velocity. This certainly works for the NX-class Enterprise (5.4^4=850) as it must approach 1000c fairly significantly and Voyager can manage warp 9.95 for exactly one minute. Values for MCV (would presumably) reflect the amount of anti-matter a starship can produce to power its warp drive without replenishing its supply from a starbase. Upper limits for warp values on-screen reflect the speeds a ship can go before it either runs out of
antimatter (not power per se as at least the Enterprise-D and Voyager carry Bussard collectors to harvest interstellar hydrogen for nuclear fuel) or the engines are simply overloaded, risking a warp core breach.
At warp 5 and below, the old formula still applies, so 22nd century ships mostly travel at around 100c (example, below warp 5 it takes the Enterprise 60 minutes to reach Neptune, which sounds impressive but is very slow in galactic terms).
There is something of a contradiction in using two formulae, but Warp 5 is effectively the speed limit within a solar system, presumably due to the increased levels of interstellar (planetary) dust present, so this could be a realistic reasoning for the change in formula after warp 5.
antimatter (not power per se as at least the Enterprise-D and Voyager carry Bussard collectors to harvest interstellar hydrogen for nuclear fuel) or the engines are simply overloaded, risking a warp core breach.
No real details of the RNZ are described, but it is reasonable to assume it extends at least 1500 light years in a roughly straight direction between the RSE and the UFP facing roughly ‘north’ in the Galactic plane towards the Delta Quadrant as this distance is the thickness of the Galaxy/ Galactic plane (think of the Galaxy as a dish 1500 light years thick on average, while having a diameter of 120,000 light years) in order to allow no opportunity for it to be circumvented by one side or the other.
For example, in “The Final Frontier” both the Enterprise and a Klingon Bird of Prey travel from a system in the Klingon Neutral Zone to the apparent centre of the Galaxy in a manner of days-presumably a distance of at least 20,000 light years-when it would normally take probably six years for a starship to traverse such a distance (a very conservative estimate). However, for the purposes of making a fast-paced filmed drama it would hardly do for long scenes of the Enterprise crew playing cards or reading “War and Peace” for the tenth time!
A six-year journey would, however, fit in nicely with the timescale for significant Federation
events:
· 2286: Another devastation of Earth is averted, when a reply to a probe of unknown origin can be given, whose attempts to contact Humpback whales severely affect Earth's atmosphere.
· 2293: On the Khitomer Conference between the Klingons and the Federation the Khitomer Accords are signed to establish a lasting peace between the two powers.]
which have the events in the Kirk movies taking place over a nineteen year period (up to “The Undiscovered Country”), while in the real world they were in production over a twelve year period. This may also explain why the [apparently newly-constructed] Enterprise-A was ordered to be decommissioned at the end of “The Undiscovered Country”.
*In the NG episode “The Neutral Zone”, the Enterprise crew discover and revive three cryonically preserved humans, who ‘died’ in the late 20th century, near the Romulan Neutral Zone.
[Presumably the pod/ satellite containing them was accidentally taken in by the warp wake of one or other of the ships establishing one of the Earth colonies which (TOS) had been established near what would become the buffer zone between the (United) Federation (of Planets) and the Romulan Star Empire at some unspecified time in the 22nd century when traveling these distances had become feasible for Earth-built starships]
***If this date is canon, the events take place three years at most after Kirk’s five year tour of duty, but “Star Trek: The Motion Picture” was in production ten years after the Original Series was made.
Labels: Star Trek, warp drive