ACCELERATION
& VELOCITY
Definition
of acceleration is: the rate of change in velocity.
Speeds at which vessels
in the Babylon 5 universe travel very greatly depending on the technology
level of the given race.
The Minbari, who have
thus been shown to date as having the most advanced technology of
the younger races, has the fastest and most powerful ships, capable
of obtaining velocities up to and in excess of 20% the speed of
light.
Races like the Narn
and Earth Alliance are far more limited, their particle-thrust engines
allowing their large scale capital ships to accelerate at no greater
than 40 m/s2.
It should be noted that
velocity is not as important as acceleration. A ship traveling at
only 10 m/s2 - or approximately one g-force -
could, in theory, accelerate to speeds near that of light. This
doesn't make said vessel fast however. In reality, it makes it very
slow and the time required to come to a velocity anywhere close
to light would take too long for anyone to survive and be almost
impossible given the fuel requirements.
Given that we don't have
any official information about the acceleration rate of the many
vessels of Babylon 5, we will discuss herein the subject of acceleration
and the question of just how fast the ships of Babylon 5 really
are. Subject of this essay will include the Shadow Battle-Crab,
Minbari War-Cruiser, Omega class Destroyer, the Whitestar and the
newest ship of the Babylon 5 universe... Excalibur.
First of all, there is
a difference between acceleration and velocity. In
space combat, the only thing that matters is acceleration - how
fast a ship can go, from "point A" to "point B"
in a given measure of time. For example, in the season three episode
"Shadow Dancing", a fleet of Shadow vessels approach a
target planet in "Sector 83", where the Shadow's hit-and-run
attacks had culled refugee ships trying to find shelter from the
killing zone. Shadows' proceed at a constant velocity towards the
planet, some three hours away. Between the Shadows and the planet
is Ivanova's disabled Whitestar, some 20 minutes out from the Shadow
fleet, at a distance of just under 5,000 kilometers.
These figures allow us
to determine how fast the Shadow fleet was moving at any given second
using the formula V=d/t, where V=velocity, d=distance
and t=time. This makes our figures come out to V=5*106m
/ 1200 sec. As such the Shadow fleet was maintaining a uniform velocity
of 4.2 kms, or 15,120 kph. Some have tried to use this scene to
claim that the Shadow's only had a rate of "acceleration"
of 4.2 kms, but these people are in error. We did NOT see
the Shadow fleet accelerate towards the safe haven in "Sector
83", thus we can not determine the acceleration of the Shadow
vessels from this scene.
A far more accurate indication
of acceleration for both the Shadow vessels and the Whitestar comes
from the season three episode "Messages from Earth", where
Sheridan and the Whitestar prototype are chased by a Shadow vessel
from the moon of Ganymede to Jupiter, over the course of no more
than 38 seconds. The average distance between Jupiter and Ganymedeis
1.07 million km, and as such, if we assume that the Whitestar and
pursuing Shadow vessel accelerated only half that distance before
slowing down in anticipation of entering Jupiter's atmosphere (if
they slowed down at all), then the low-end rate of acceleration
would be as follows:
A = 2S / (2t - 1)
Where the distance of
acceleration is one half the total distance between Ganymede and
Jupiter, and the time is 38 seconds from Sheridan giving the order
to head for Jupiter and Lennier's comment that they had entered
the atmosphere, our figure comes out to be:
A = 2*535000000 / (2*38
-1)
A = 1070000000 / (75)
A = 14266666.67
As such, the low-end
rate of acceleration for the Whitestar and the Shadow vessel as
depicted in this episode, comes to 1.4*107 m/s2
or 1.45 million g-forces. This is, of course, the minimal rate of
acceleration, assuming that both ships slowed down at the half-way
point. In reality, given that Sheridan was being chased by an attacking
vessel with superior fire power, it would be highly illogical to
slow down half way to your destination, when you are in fact running
away and still under attack.
Given these facts, the
maximum accleration for the Whitestar and persuing Shadow vessel
would have been 2.8*107 m/s2 or 2.9 million
g-forces, if the Whitestar continued to accelerate all the
way up to the point when she entered the atmosphere. This would
have meant the Whitetar would have absorbed a considerable ammount
of energy upon entering the atmosphere due to friction, no matter
what kind of trojectory she used to safely enter Jupiter. Still,
this scene would appear to give the advanced ships of Babylon 5
a high-end acceleration of 28,533 km/s2.
Even at this, we do not
know exact distances and we don't know the time frame as the Shadow/Whitestar
may have only accelerated for as little as 1/4 the given distance
or could have been accelerating the whole way! Logic suggests that
the Whitestar, fleeing from a rampaging Shadow vessel, would be
accelerating and continue accelerating all the way to Jupiter. Again,
we just don't know 100% for sure, thus these figures are only as
a tentitive explanation as to the possible rate of
acceleration of both these vessels, baring additional information.
Still, at MINIMAL it would appear that both the Shadow Battle Crab
and Minbari Whitestar have a rate of acceleration no less than 7.13
million m/s2.
Ships like the Sharlin
were said to have a cruising speed of 0.2c, but this is again a
statement as to the ship's velocity, not acceleration. It would
be nice to assume that this represented acceleration, but it is
very unlikely that even a race as advanced as the Minbari can accelerate
in real-space so quickly. Granted the maximum acceleration of the
Whitestar and Shadow vessels may come to approximately 0.1c, but
both of these vessels are faster than a Sharlin. As such, the statement
is taken as what it is - the vessel's cruising velocity.
As we never saw the Minbari
War-Cruiser ever forced to go from a dead-stop to full speed, at
any time during Babylon 5's six year run, we can not really gage
this vessel's rate of acceleration. The only ship that comes close
to giving us a glimpse into the War-Cruiser's possible rate of acceleration
would be the Excalibur, as they rely on manyof the same technologies...
a subject we will tackle later in this document.
Ships like those of the
Narn and Earth Alliance rely on conventional physics, as they are
not in posession of artificial gravity technology... at least not
until after joining the Interstellar Alliance. All vessels before
this relied on z-axis or simulated gravity i.e. the use of acceleration
or ratating sections. Due to this fact, most ships without rotating
sections were limited to a maximum rate of acceleration of no more
than 40 m/s2. Ships with rotating sections, like the
Earth Alliance's Omega class Destroyer, were limited to an acceleration
of no more than 10 m/s2 as acceleration beyond that speeds
would require the ship to increse the speed at wich the revolving
section moved, to compensate for the creation of z-axis gravity
and thus placing a great deal of strain on the ship's frame as well
as the crew.
Thus far, the only ship
amongst the younger races that gives us a good idea of just how
fast "fast" is the ISA Excalibur. Even then, there is
no way to judge the acceleration rate 100% accurately, but we can
do so more accurately than what was seen in the afformentioned examples.
Again, speed really doesn't matter, only acceleration. Best scene
offered in the series "Crusade" with regards to acceleration,
comes from the episode "Each Night I Dream of Home", where
Exclaibur travels a stated distance in a measurable period of time.
Unfortunately, we can
not judge acceleration accurately unless you have a vessel going
from a dead stop to full speed, and moving a predefined distance
in a certain amount of time - something we didn't see in this episode.
Still, we have enough information to make some fairly reasonable
educated guesses.
First off, we must know
what we are looking for, in this case the ship's velocities. Velocity
is determined by a simple formula of V=D/T, where V = velocity,
D = distance and T = time.
The distance Excalibur
had to travel in order to intercept Lochly's Starfury was approximately
5,000 kilometers. It took 86 seconds for Excalibur to reach Lochly.
As such we know the distances and the time in which the stated distance
was covered. V=D/T, which would come out to be "Velocity = 58km/s."
(NOTE: This is assuming of course that the scene
of Lochly watching the approaching Excalibur happened AFTER the
previous scene, and not during, and doesn't take into account the
time it took the crew to impliment Gideon's order to slow 1/3.)
What does this mean?
Nothing. Why? Because we can not determine Excalibur's acceleration
from this scene, from the limited information offered. Why? Because
the afformentioned figures' state uniform velocity, not accleleration
and Excalibur was NOT accelerating in this scene.
There are several things
we don't know. We do NOT know how fast Excalibur was going when
she jumped, or how much they slowed down before jumping to normal
space, if at all (it wouldn't appear they slowed
down at all given Gideon's comments). Given that Gideon
had Matherson cut the ship's speed a few seconds after existing
Hyperspace by 1/3, Excalibur was likely moving no faster than 174
km/s when she jumped out. Plus Excalibur may have been slowing down
the entire time, while approaching Lochly's Starfury, or may have
decelerated to 1/3 in as little as a tenth of that length/time.
Again, and I can't stress
this more fervantly, acceleration can NOT be determined from this
scene given the ammount of information available, making the scene
useless in determining the maximum speed/acceleration of Excalibur.
Only way you could figure out acceleration using this scene, is
if we make a some educated guesses... which I am about to do.
If we GUESS that Excalibur
needed the whole 5000 km to drop to 58km/s (unlikely),
then we can reverse the figures and come up with a probable rate
of acceleration, even though this guess will not be completely accurate
as we do NOT know how long it took Excalibur to slow down. We can
only GUESS how long it took to slow down.
Difference between initial
and final velocity is 116km. If Excalibur can accelerate from 0
to 116km/s within 5000 kilometers in 86 seconds, than we can determine
the ship's acceleration using the same formula for finding the distance
traveled in any given second.
S=1/2a(2t-1) S=distance
a=acceleration t=time.
5000=1/2a(172-1)
To find "a", we simply
divide 5000 by 171, then multiply by 2.
So, if we guessed correctly
and it DID take the entire 5000 km to decelerate to 1/3 the ship's
initial velocity, and we reverse those figures (assuming
that acceleration and deceleration on the Excalibur is equal),
the Excalibur's LOW-END rate of acceleration is no less than
58.5km/s2. Given that it took a second or two for Gideon's
orders to be executed, we can round this figure up, placing Excalibur's
low-end acceleration at 60 km/s2.
Again, this is a LOW-END
estimate, given that we don't know the distance required by Excalibur
to cut her innitial velocity by 1/3, so the ship's maximum velocity
may well be signifcantly higher than the stated figure of 60km/s2.
CONCLUSSION:
Acceleration rate of
low-tech races such as the Earth Alliance and Narn Regime (before
2263) are limited to between 10 and 40 m/s2.
Acceleration rate of
Minbari capital ships and the Excalibur is no less than 60 km/s2
Acceleration rate for
Vorlon, Shadow and Whitestar class vessels is no less than 7,000
km/s2
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