[net.startrek] warp speed

jdd@cbscc.UUCP (Jim Doan) (10/29/84)

<WHAT do you mean "We're no orbiting Triacus anymore"?  I just sent 2 red men>

Well, I figured I would throw in my two cents worth on the subject of
warp speeds.

I found some interesting information that might explain/confuse
the matter of what warp speeds really are.  A couple of years ago,
a friend of mine found in a bookstore some Star Trek maps.
This included 2 double-sided maps of interstellar space that 
the Federation has mapped, showing many of the solar systems
the the Enterprise has visited.
	(These Star Trek (TM) Maps are published by Bantam Books,
	 who have a exclusive license from Paramount Pictures Corp.
	 The following information is being transmitted WITHOUT the
	 approval of Bantam Books.)
Anyhow with the maps, came technical manual titled:

	INTRODUCTION TO NAVAGATION
	    Star Fleet Command
	Technical Publications Section

The following is an excerpt from that manual (it is lengthy)

================================================================================
			1.2 WARP DRIVE

	Fundamental to today's interstellar travel has been the development
of warp drive.  Basically, warp drive consists of the generation of a field
about a spacecraft which bends or warps space in the direction of travel.
A reaction of the bending propels the ship forward.  Since space is being
moved relative to itself in a smoothly increasing rate as the center of the
field is approached, no neighboring regions exceed the speed of light.  How-
ever, the total effect on the ship of these incremental speed differences is
multi-light velocities.  This gradual increase of velocity avoids the speed
constraints imposed by the theory of relativity.

	The first survey vessles equipped with Cochrane's new space warp
drive, such as teh S.S. Bonaventure, were able to cross interstellar distances
in weeks instead of years.  A discovery of almost equal magnitude to warp drive
was made in 2160's (Terran), when the Quantum II or "time warp" space drive
was perfected.  This system is still in use today, and is calibrated on the
exponential scale of time warp factors (or simply warp factors).  The new
time warp drive, so called because of the time dilation effects experienced
at warp speeds, enabled the Archon class starships to open vast new frontiers,
and extend the boundaries of the Federation by hundreds of parsecs.

	The third great breakthrough came in 2243 (Terran), when the "time
barrier," warp factor four, was broken by improvements in matter/anti-matter
engine design.  This made much more energy available, so that more powerful
warp field generators could be used.  The new propulsion units were quickly
installed on the Constitution class starships, and, although capable of
speeds up to warp factor eight, they were limited in normal operation to
warp factor six by the structural strain caused by the limitations of the
ship's compensation field's ability to adequately protect it from the effects
of the warp field.  Recent discoveries, however, suggest that this limit will
soon be exceeded.  In theory, warp speeds hundreds of times greater are not
impossible for properly designed ships and engines.


			1.3 WARP SPEEDS

	The classic  (W^3) * c = v formula (where (W^3) is the warp factor
cubed and c is the speed of light, or about 300,000 kilometers per second)
has often been used to determine faster-than-light velocities; but it is
obvious that this formula is insufficient if we consider that starships
have visited the galactic center,**  approximately 30,000 light years distant
(a trip which would take thirty years even at warp factor ten, using this
formula).

	As Zefram Cochrane pointed ou in 2053, actual warp speeds relative
to the speed of light may be calculated by multiplying the warp factor
cubed by a variable that accounts for the curvature of space in a fourth
dimension by the presence of mass; subspace, a continuum in which a vessel
under warp drive travels, is not curved in a fourth spatial dimension,
and therefore offers a linear "short cut" between points in our galaxy.
This variable, called Cochrane's factor and sometimes indicated by the greek
letter chi (X) [which I can only use a capital X for it], can be as high as
1,500 in dense dust and gas clouds and as little as 1 in intergalactic
void.  It is larger neat massive objects such as star and black holes, as
space is curved around such as objects to an even greater extent.  For
practical reasons, warp drive is not used in the vicinity of massive objects,
as the disproportionately high warp speeds tend to produce a "slingshot
effect," catapulting a starship out of this space-time continuum altogether.
Between galaxies, where negligible matter exists, space is not perceptibly
curved, and the short cut afforded by Cochrane's factor disappears.  Warp
speeds attain their "ideal" (W^3) * c = v values, and the transit time to
the Andromeda galaxy becomes thousands rather than hundreds of years.

	The correct warp factor formula is therefore expressed as
			X * (W^3) * c = v
where the value of X varies with the local density of matter.  This variable,
somewhat analogous to the winds or ocean currents in sailing, explains why
greater interstellar distances may sometimes be transversed at greater speeds
and in less time than shorter distances.  Accordingly, a navigator must take
into account any variations in the density of matter along a given route
before he is able to estimate the arrival time at his destination.

	Table 1.1 shows the corrected values for warp speeds, given an
average value for X of 1292.7238 within Fedreation space.


		Table 1.1  Corrected Warp Speeds

 W	(W^3)		X (W^3)			Ti per parsec
						hrs min sec
--------------------------------------------------------------------------------
 1	1		1,292.7238		 22  05  29
 2	8	       10,341.7904		 02  45  41
 3	27	       34,903.5426		 00  49  05
 4	64	       82,734.3232		 00  20  43
 5	125	      161,590.4750		 00  10  36
 6	216	      279,228.3407		 00  06  08
 7	343	      443,404.2634		 00  03  52
 8	512	      661,874.5856		 00  02  35
 9	729	      942,395.6502		 00  01  49
10	1000	    1,292,723.8			 00  01  19



** See the log of the U.S.S Enterprise, stardate 1254.4


================================================================================


Well, I bet that will give all you out there something to munch on.
I will be waiting to see some response to this.


-- 

				Jim Doan		
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