Sothis wrote:Hello there :O) sorry for not posting sooner, but my access to the computer is somewhat limited at the moment.
I'll start with the obvious about Imperial starship speeds- ROTJ demonstrates impressive straight-line speed for Star Destroyers- they had to move quickly from behind Endor (where they had been hiding out of sight) to swing round and then trap the Rebel fleet. To move around the moon like that is to cover thousands of miles in a matter of seconds- to do otherwise is to lose the element of surprise and risk the Rebels escaping.
Can you quantify this more precisely? I am of the opinion that the ROTJ sequence is both highly imprecise and open to widely variant interpretations, and thus no good for creating any solid estimate of acceleration.
Fighters are extremely fast, able to cover a 400,000KM distance in five minutes, placing their acceleration in the region of 17,000 m/s.
Both the time and the distance are incorrect.
First, time. Before the Rebels launch fighters, the Death Star has an ETA of 20 minutes; after, 15 minutes. The Rebel fighters begin attacking shortly before the seven minute mark is read off. It is therefore more accurate to estimate that it took somewhere between 7 (15 minute ETA -7 minute ETA - a minute of the Rebels' initial attack) and 13 (20 minute ETA - 7 minute ETA) minutes, i.e., 10+/-3 minutes.
Second, the Death Star will be in firing position as soon as it has line of sight. Given that the Death Star is orbiting approximately one half Yavin's radius away from the surface of Yavin, and Yavin IV roughly a full extra radius, we can see the Death Star doesn't have a clear line of sight until it's within three times the radius of Yavin:
Given that Yavin is a gas giant, we may take its radius to be most likely 50,000 +/- 25,000 km (i.e., between Neptune and Jupiter in size), which puts our distance as 150,000 +/- 75,000 kilometers.
Now, noting that for a high speed intercept, x=at^2/2, the Rebel fighters can
reach the point at which the Death Star can fire using an acceleration of 830+/-650 m/s^2, or 85+/-66
g. If the Rebel fighters are to also match the Death Star's velocity at that point (about 100 km/s towards Endor), this increases their acceleration by a factor of around 130% (plus ~ four thirds), giving them 200+/-160
g.
However, that's not all; we also know that the
Millenium Falcon, after traveling some distance from Tatooine, still needed "several minutes" to reach the hyper limit. Based on the fact that several minutes remained, we could ballpark the trip at 5-10 minutes (7.5+/-2.5) in length; based on the fact that the hyper limit appears to be no further than 6 planetary diameters for a typical planet, this gives us a distance of 75,000 km, which means an acceleration of around 76 gravities. Even taking the low end of this range (5 minutes) barely pushes us to 160 gravities of linear acceleration.
The TNG TM states that impulse engines are capable of 0.75c, but this is rarely seen- a look at DS9 episodes like 'Sacrifice of Angels' or 'Tears of the Prophets' gives us relative speeds that are a lot slower. The acceleration of Federation ships appears to be in the region of between 10,000 and 15,000 m/s, making them nearly as fast as a fighter, but not quite. This would make them faster than Imperial capships, but such speeds are rarely seen in combat situations, bringing up the question of why. That is something only Captain Picard et all can answer :o)
Relative speed is the key term here. Combat maneuver is an entirely different problem than raw speed for Star Trek, quite probably because of the use of subspace fields.
Maneuvering is indeed another matter. See, for example, "Sacrifice of Angels."
The
Defiant makes short controlled evasive yaws about as quickly as the X-Wings in the battle of Yavin - call it about 45 degrees in a second - during most of its maneuvers. The
Defiant, Birds of Prey, Starfleet's rare fighters, Cardassian Hidekis, and Jem'Hadar attack ships have maneuverability sharply superior to larger ships. In "The First Duty," we learn that small single-pilot craft can pull a tight circling maneuver at 80,000 kph, which confirms the notion that small Federation craft are every bit as maneuverable as we expect.
The
Falcon can flip on its side in one second (90 degree yaw), and when Lando orders all craft to pull up in the battle of Endor, it takes about two seconds for an X-Wing to swivel its path 90 degrees. (See, for example,
1:50-1:52). Every now and then we can see a fighter execute something like a snap turn (e.g., as they enter the Death Star), popping 90 degrees at several hundred m/s in a turning radius of only a hundred meters or so.
It's fairly impressive. Quite possibly, smaller SW fighters can turn slightly faster than ~100m Trek ships, but all told, they're similar enough in agility to be competitive with one another on that account.
A
Galaxy class, the largest ship in Starfleet, turns a bit slower than the fighters or its smaller counterpart. See
6:12 to 6:16 - it takes about 4 seconds to swivel 90 degrees.
This is much faster than the maneuvers seen by Star Wars capital ships, which only seem to change direction by several degrees per second. Even in the Executor's sharp uncontrolled dive towards the
Death Star, it isn't swiveling at more than 10 degrees per second (see
6:43-6:48), and that's exceptionally swift turning for a Star Destroyer. I can't think of a single controlled turn by a SW capital ship at more than 5 degrees per second, even in the near collision in the Hoth asteroid field.
Accordingly, we can expect small craft to have fairly similar maneuverability, but in regards to capital ships, the largest ships Starfleet has to offer can (and will) pivot over twice as fast as any in Star Wars that
isn't a fighter - most likely, we'll see Starfleet's ships pivot ten times as fast.
Returning to the
speed of Star Trek ships, as you have placed the acceleration of ST ships at 1,000-1,500
g, this is not so far from the 1,000-10,000
g I suggested, and so I leave resolving the detail of the upper bound for a later post.