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Starship Volumetrics (Update)

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DSG2k

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Figured I'd share this here, as tit for tat. My Volumetrics page includes a large number of starship volumes, originally obtained by Masao Okazaki from Nob Akimoto here on the TrekBBS forums. Akimoto was using 3D Studio Max ... other contributors have used LightWave. Both are crazy-expensive ways of figuring out starship volumes.

However, it's now very much easier to obtain the data. Google SketchUp is a freely available 3D design program which has had numerous Trek vessel meshes designed for it or converted to it (it can import 3D Studio Max .3ds files). And, with a free plugin that calculates the volume of a grouped object, you can do volume calculations yourself! A link to the plugin is at my site.

It's not always easy. Some models just don't allow volume to be done correctly (whether due to not being sealed up or what-have-you), and very few of them are scaled properly. However, those that work are fantastic.

Using mass/density information from the shows, one can thus obtain the approximate masses for dozens of ships. As of this writing, 58 Trek vessels and parts thereof are listed ... quite a few more than the 19 from the original Nob Akimoto list.

Enjoy!
 
I've always had a slight problem with these estimates since they tend to favor very large masses for most starships. Obviously, they're at least partly extrapolated from canon references, but there's a tendency to produce some truly weird results that are just plain counterintuitive. The most glaring examples are the Federation fighter and the Klingon bird of prey; the former would weigh close to 1700 tons under the system you're describing (compare with about 200 tons for the B-52 Stratofortress) and the latter because a 45,000 ton bird of prey would sink to the bottom of San Francisco Bay on contact with the water instead of floating there for fifteen minutes in stormy weather.

Based on a comparison of size and shape between the Intrepids and the Nimitz class aircraft carrier, the mass estimates look to be inflated by at least a factor of ten; a 70 thousand ton Voyager makes considerably more sense, especially since a 4500 ton Klingon bird of prey might just float for a few minutes before sinking, and a Federation fighter doesn't have to be made out of marble and concrete if it weighs 170 tons.
 
The average depth of the San Francisco Bay is 14 feet, so it isn't like the Bird of Prey had far to go when sinking. The concern wouldn't be water so much as mud giving way. And the density of the Delta Flyer also corresponds to Voyager's density, meaning that even smaller vessels probably fit within the stated range, canonically.

That said, materials and construction differences could produce variation in regards to different vessels and structures. The Delta Flyer was originally built for both speed and hull strength against a gas giant, IIRC, and although I wouldn't expect a fighter to be paper-hulled it is possible it was built for mass-savings.

And, of course, the station densities (e.g. DS9, SB74, Spacedock, et al.) are in question, since they don't have the warp nacelles which are thought to be very dense. Indeed, all most such stations have to do is orbit, which per the current ISS is not a terribly taxing job, structurally speaking. However, given DS9's two meter thick duranium conduit shielding, I rather doubt I'm too terribly far off.
 
Correction: This page suggests an average depth of 13.4 meters. That happens to be about the height of the KBoP head section, though of course the ship was sitting at an angle (butt-down) at the time. Indeed, that actually works quite well for a shallowly-sunken BoP.

As such, there's no reason to assume anything beyond her sinking butt-first.
 
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The average depth of the San Francisco Bay is 14 feet, so it isn't like the Bird of Prey had far to go when sinking. The concern wouldn't be water so much as mud giving way. And the density of the Delta Flyer also corresponds to Voyager's density, meaning that even smaller vessels probably fit within the stated range, canonically.

Possibly, but that still uses a density level extrapolated from a 1960s space capsule that--when scaled up into larger craft--produces what appear to be absurd mass figures for what are supposed to be modern functional space craft. It has to be remembered that Apollo wasn't just dense, it was also mind-numbingly cramped even by modern spacecraft standards. To expect a craft the size of Voyager--or even the size of the Delta Flyer--to have similar mass-to-volume ratio is to expect that designers in the 24th century will be employing a roughly 1960s level of technology on an enormous scale.

When in reality the kinds of densities you describe don't hold true for anything other than... well, Apollo capsules and some of the older Russian designs (TKS and Soyuz TMA). The same volumetrics applied to, say, the Space Shuttle Orbiter would come up with a surprisingly large mass for a craft that we know to weigh only a couple hundred tons. It also doesn't ring true for modern aircraft (the B-52 example I already mentioned) and would be blown completely out of the water when you take into account construction materials like aluminum alloys and nanotubes.


Of course, all this is just speculation and counter-speculation. If you really want to put your algorithms to the test, apply them to models of things we already have a solid mass estimate for. Try modeling, say, an aircraft carrier or a balistic missile submarine, or even a model of the space shuttle or the Saturn-V. I have a sneaking suspicion the estimates from the model will be off by a decimal place or two compared to the actual real-world numbers.
 
Sorry chief, I was sharing a webpage about Star Trek volumes and masses. Bog standard scale indicators are in the shows, meaning accurate meshes and accurate calculation algorithms give us those ship volumes. Sinking starships, direct mass statements on Voyager and TOS, and so on are in the shows, making it clear what the ship masses and densities look like.

Put those together and I've got all I need to do what I did.

Your dismissiveness and derision of the density numbers and their applicability to real-world craft based on your own "speculation and counter-speculation" is thus completely peculiar to me, because in the context of discussing Star Trek and the way Star Trek presents itself by its own information in the shows themselves, your objections are non sequiturs. There is no need to speculate.

To my mind, you have the order reversed anyway . . . if we didn't have any information from the show, then exploring from modern naval, air, or spacecraft densities might be the way to go. But that's not the case here. So if you wanted to put your thinking to the test in reference to Star Trek, taking your B-52 data and so on and trying to apply it to Trek starships, it would fail miserably.

Star Trek's mass and density values do not correspond to modern data, nor should they need to. Star Trek is fiction, and the shows present a fictional representation of a fictional reality that nevertheless hangs together pretty well, in the sense of being self-consistent. It is a universe of over 200 elements, with some of the transuranics evidently being stable. It is a universe of subspace fields and materials 20 times harder than diamond. And of course, it is a universe of replicators, warp drive, antigravity, and so on. I don't pretend to know how it all works, nor do I have to do in order to do basic things like the Volumetrics page.

If I present a page detailing the feats of antigravity shown in the various shows, it does not follow that I need to then make fun of the source of antigravity ideas used in the shows or put such concepts to the test by applying them to real-world anything. I was, after all, talkin' Star Trek antigrav.

"This isn't reality ... it's fantasy."

That said, I note with amusement that the Apollo CSM and Space Shuttle already appear on the Volumetrics page. I estimated their volumes and used their masses as stated by NASA to get their densities, since I don't have the vehicles and scales available to do direct measurements. But such explorations, while fun and educational, do not override the values for the fictional starships presented in the fictional Star Trek universe.

So, let's simply agree to disagree on your objections.
 
Sorry chief, I was sharing a webpage about Star Trek volumes and masses. Bog standard scale indicators are in the shows, meaning accurate meshes and accurate calculation algorithms give us those ship volumes. Sinking starships, direct mass statements on Voyager and TOS, and so on are in the shows, making it clear what the ship masses and densities look like.

Put those together and I've got all I need to do what I did.

Your dismissiveness and derision of the density numbers and their applicability to real-world craft based on your own "speculation and counter-speculation" is thus completely peculiar to me...
As is your preference to interpret this as "dismissiveness and derision," but whatever. If my intention was to dismiss and deride you I wouldn't have bothered commenting in the first damn place, so why don't you take a smoke and settle down.

To my mind, you have the order reversed anyway . . .
I don't think I do. You took information from the show and used it to build a working formula for mass estimates from it. Scientific method at its finest, really. My point is that the model doesn't provide testable conclusions, though, and comes up with some conclusions that lack a certain amount of plausibility (a 1700 ton Fed fighter, for example). A good way to refine the model would be to test it against real-world objects and space craft as a point of comparison, if for no other reason than because it's interesting, but also for the purely scientific purpose of analysis and theorizing on what those ships are made of and how they are built.

Star Trek's mass and density values do not correspond to modern data, nor should they need to.
They're supposed to, if Star Trek is meant to be something other than a pure fantasy universe. If the higher density really is going to hold true, it's probably a good idea to figure out WHY instead of just writing it off as "Eh, it's just a TV show." That defeats the entire purpose of the exercise in the first place, really, if you just leave it at that.
 
You took information from the show and used it to build a working formula for mass estimates from it. Scientific method at its finest, really. My point is that the model doesn't provide testable conclusions, though,

And how would it do so? I mean, the "model" is based on almost all the canon evidence available, and it isn't like they're making more Trek in the original universe these days. So upon what unknown should we test it?

and comes up with some conclusions that lack a certain amount of plausibility (a 1700 ton Fed fighter, for example).

Unless you have evidence from the show that the Federation fighter is not 1700 tonnes, then your argument is merely from personal incredulity. I mean, we are discussing a universe with mass lightening technology and non-Newtonian drive systems, meaning mass is not quite so much an issue.

The best example for you to try to use would be the Danube Class (because it frequently landed), which I have listed at about 600 tonnes using Voyager-esque densities. That would make it a bit heavier than a fully-loaded Caterpillar 797B at 566 tonnes, which is an off-road mining vehicle. I don't see any obvious problem there, given that the Danube is longer and wider than the Caterpillar and isn't even going to be sitting on four 'small' tire tread contact patches.

So see? No problem. Why, you could almost call it a prediction of the "model". And the Federation fighter is a larger vehicle (three times the volume) than the Danube if we assume it to be 31 meters long (which, as noted on the page, is iffy, but is what was available at the time).

A good way to refine the model would be to test it against real-world objects and space craft as a point of comparison, if for no other reason than because it's interesting, but also for the purely scientific purpose of analysis and theorizing on what those ships are made of and how they are built.

Comparing Trek densities to real vehicle densities is good for fun and interest and further theorizing (and as you could've noted on my page, I pondered the densities of duranium and tritanium on that basis), but it is absolutely useless in regards to refining anything regarding the density evidence itself.

The impression I was getting from your prior posts is that you think we should throw out the density evidence from the show if it contradicted existing-vehicle densities from the real world, which would've been an absurd position.
 
You took information from the show and used it to build a working formula for mass estimates from it. Scientific method at its finest, really. My point is that the model doesn't provide testable conclusions, though,

And how would it do so? I mean, the "model" is based on almost all the canon evidence available, and it isn't like they're making more Trek in the original universe these days. So upon what unknown should we test it?
For one thing, the original canon information was derived from a density figure of the Apollo capsule, was it not? There's a starting point right there: the Apollo capsule and/or CSM, just to see if the formula is actually consistent with itself. The next logical step would be to apply it to other spacecraft of the same era, namely the Mercury and Gemini craft and also their Soviet counterparts (Vostok/Vokshod, Soyuz, TKS and Mir). Add comparisons to Skylab and ISS for that matter.

Again, I'm not even saying the methods you're using are fundamentally flawed, in fact it's one of the most intriguing sci-fi studies on the web right now. What I'm saying is it would incredibly revealing to looking at the volumetrics as if they were real space craft and see what this tells us about how they were built (or, possibly, about the assumptions trek producers made--correctly or erroneously--about how starships might function).

Unless you have evidence from the show that the Federation fighter is not 1700 tonnes, then your argument is merely from personal incredulity.
What's wrong with incredulity?

I mean, we are discussing a universe with mass lightening technology and non-Newtonian drive systems, meaning mass is not quite so much an issue.

True as that is, that's where incredulity comes in: at 1700 tons we're talking about a twenty meter spacecraft that weighs as much as a WW-II submarine. It doesn't seem like something that size could BE that heavy unless huge parts of it were actually made out of chobham armor.

The best example for you to try to use would be the Danube Class (because it frequently landed), which I have listed at about 600 tonnes using Voyager-esque densities. That would make it a bit heavier than a fully-loaded Caterpillar 797B at 566 tonnes, which is an off-road mining vehicle. I don't see any obvious problem there, given that the Danube is longer and wider than the Caterpillar and isn't even going to be sitting on four 'small' tire tread contact patches.
This is actually a really good example. Since even if you apply the excuses of "super powerful materials, super powerful drive systems," there's still the fact that the Danube maneuvers by way of what are typically described as "thrusters." It also uses these thrusters to land and take off from planetary surfaces, presumably even in emergencies when its impulse engines are disabled.

In order for the thrusters to be practical, they have to be able to actually move the ship. A group of, say, four thrusters attempting to lift a 600 ton Danube in Earth gravity would therefore have to produce at least 5.8 Meganewtons between the four of them; that as much thrust as a Space Shuttle's main engine at full power, just to hover in place.

Antigravs and "mass reducing fields" provide part of the answer, but they'd have to do ninety percent of the work just to make the addition of "maneuvering thrusters" even remotely practical, which then leaves you wondering why add them at all. On the other hand, a 60 ton Danube could get away with with a turbulent but manageable "thrusters only" liftoff, with each small thruster providing as much power as a modern jet engine. Seems a bit more reasonable, especially since these thrusters normally have the job of pinpoint maneuvering close to starships and space stations.

Comparing Trek densities to real vehicle densities is good for fun and interest and further theorizing (and as you could've noted on my page, I pondered the densities of duranium and tritanium on that basis), but it is absolutely useless in regards to refining anything regarding the density evidence itself.
Possibly... on the other hand, it might prove informative in investigating exactly what duranium or tritanium are supposed to be. There's a theory floating around that "duranium" is just shorthand for "depleted uranium."

The impression I was getting from your prior posts is that you think we should throw out the density evidence from the show if it contradicted existing-vehicle densities from the real world, which would've been an absurd position.
Not really, no. Just that the information isn't all that useful from an analytical standpoint unless you can use it to estimate where that extra density is coming from. If, for example, most of that extra mass is coming from warp coils, hull armor, gravity plating or something exotic like that, then you'd have to adjust for the fact that smaller craft--or craft with smaller nacelles--might have proportionately lower masses inconsistent with the general formula. Likewise, if we know something about the density of Duranium--a hull armor material--you can adjust up and down the masses of ships like, say, Enterprise-D, whose outer surface area is composed of a surprisingly large amount of transparent aluminum (lots and lots of windows) and therefore would be considerably lighter than a similar-sized vessel with no windows at all. And again, proportionately smaller nacelles would effect the estimates too, such that the relatively small Sovereign class might actually end up being heavier than the Galaxy due to its enormous warp drives (justifying the proportionately larger impulse engines). It might even give you something useful to do with that surface area data: ships with more surface area need more armor and are therefore slightly heavier than similar-sized vessels with less surface area; this gives you a plausible explanation for ships like the Pasteur, civilian vessels which save mass by minimizing their outer surface area and maximizing volume. Conceivably, it might even explain the Borg fetish for cube/spherical ships: the desire to maximize volume to the minimal amount of surface area, packing the largest amount of ship material into the smallest possible mass.
 
For one thing, the original canon information was derived from a density figure of the Apollo capsule, was it not?

That was Sternbach's original source for pegging a density, yes. There is some variation between the density I have for Voyager and the real command module density, but I presume that to be a result of volume calculation differences and rounding.

(i.e. I don't know how he calculated the Apollo volume ... quite possibly on paper from an analysis of the simple solids involved. And I don't know how he obtained Voyager's volume.

In any case, though, "700,000 tonnes" is quite a round figure in any event . . . he might've ended up with 694 or 712 or anything in such a range.)

However, that's what got him in the neighborhood. After that, though, its use in the show became an independent fact.

(Meaning, to my mind, he could've picked the number out of thin air for all it matters, since once it was in the show (and used repeatedly therein), stated as fact by reliable characters, it became the closest thing to from-the-show truth we have.)

There's a starting point right there: the Apollo capsule and/or CSM, just to see if the formula is actually consistent with itself. The next logical step would be to apply it to other spacecraft of the same era, namely the Mercury and Gemini craft and also their Soviet counterparts (Vostok/Vokshod, Soyuz, TKS and Mir). Add comparisons to Skylab and ISS for that matter.

Such explorations could be quite fun and educational, but I don't see their relevance to the internal consistency of the page.

(It's phrasings like that that got me twitchy earlier, BTW, since it's suggestive of . . . well, look just below)

What's wrong with incredulity?

Well, some of your earlier phrasings were suggestive, to my mind, of your trying to argue against the values and concepts on the page, or at least claim them to be inconsistent or otherwise useless. That's fine in and of itself, but the method of doing so appeared to be by way of what, from the perspective of a from-the-show logic, would be the utter irrelvancies of real-world vehicles. (Or more to the point, it would be like trying to constrain modern structure/vehicle densities based on the materials available to people hundreds of years ago.)

Whether or not that was your intent, that was how it appeared at the time. And sadly, dismissing show facts based on irrelevancies represents the usual reception that my from-the-show logic commonly receives at TrekBBS (and often in harsher tones than even what I thought you were engaged in at first).

I was simply making the point that without actual evidence of flaw in my methods or reasoning from the show itself, that the logically fallacious 'argument from personal incredulity' would be the only active counterargument in play.

What I'm saying is it would incredibly revealing to looking at the volumetrics as if they were real space craft and see what this tells us about how they were built

That's why I yap incessantly in the sections below the Volumetrics chart about tritanium and duranium. (I believe the former to be denser than the latter.)

My concern for a long time was that certain Starbases (e.g. Spacedock) and shuttlecraft might be nowhere near as massive, based in part on the fact that shuttle hulls were said to be made of duranium (as if it was a primary component), as opposed to ship hulls which seemed to frequently be tritanium.

But the apparent fact that the Delta Flyer's density seems to fall in that range also (which is a new addition from this last round of updates to the ~6 year old page) would seem to point toward confirming the values for even the smaller vessels.

True as that is, that's where incredulity comes in: at 1700 tons we're talking about a twenty meter spacecraft that weighs as much as a WW-II submarine.

I think that's the issue right there, because on the page itself the fighter is still listed as (and calculated from) 31 meters.

At 31 meters, the fighter has a volume of 1522 m^3. Modifying the numbers real quick based on the N^3 volume rule, a 20 meter fighter would only have a volume of 409m^3. Then its mass (at Voyager levels) would be just 457 tonnes.

That's twice the max takeoff weight of a B-52 and three times its usual maximum load weight, but I don't view that as being beyond reason for such future fighters. After all, a fighter from WW2 like the P-51 had a loaded weight of 4 tonnes. A loaded F-22 is 29 tonnes. (Empty weights are 3.5 vs. 19.7.)

At that rate (a factor of 7 per 60 years), aerial fighters massing 457 or 1700 tonnes are simply a matter of time, and not necessarily a whole lot of it. That's aerial fighters of 200 tonnes by 2070, and 1400 tonnes by 2140. ;)

It doesn't seem like something that size could BE that heavy unless huge parts of it were actually made out of chobham armor.

Wooden warships gave way to steel, short-range cannonballs gave way to huge steel shells and dropped bombs, and all of the sudden you might find that from the perspective of those aboard the wooden ship, a modern naval vessel seems impossibly massive.

Given that Trek vessels are made of materials we've never heard of and that they feature technologies we can scarcely dream of, I have no real problem with the extra mass compared to modern materials and construction methods.

After all, the shuttle or modern spacecraft have to blast off, which is expensive and messy.

It also uses these thrusters to land and take off from planetary surfaces, presumably even in emergencies when its impulse engines are disabled.

I don't think that's accurate . . . we've certainly never seen it.

Just that the information isn't all that useful from an analytical standpoint unless you can use it to estimate where that extra density is coming from. If, for example, most of that extra mass is coming from warp coils, hull armor, gravity plating or something exotic like that, then you'd have to adjust for the fact that smaller craft--or craft with smaller nacelles--might have proportionately lower masses inconsistent with the general formula.

As noted, I might've thought so too, but then the Delta Flyer's density is at least roughly consistent with that of Voyager. That may seem counter-intuitive to some degree, but it pretty much seals the average density for the entire ship as valid across multiple ship sizes.

Comparing to the Prometheus saucer (since I don't have the Delta Flyer in the list yet) her volume coefficient is also similar to that of Voyager. But her surface area per volume should be quite different.

The Argo shuttle (the next closest shape analog I have for which volume and surface area data is available) has an SA/V value of 1.8036. Were we to shrink Voyager to Argo length, her SA/V would be 332/123, or 2.7ish. And yet the Delta Flyer and Voyager densities are similar. So there's no obvious correlation between density and the surface area divided by volume.

The shrunken Voyager's surface area would be 332 square meters, the Argo is 992. Even if we assume the Argo's half again too surface-y compared to the Delta Flyer, that's still a big difference, which if it was strictly a question of hull material would again mean there's no obvious correlation.

Presumably the consistency has to do with warp coils and superstructure moreso than hull. Is there a margin for error? Surely. But the evidence from the show makes it clear that the density remains fairly constant for Federation ships.
 
Well, some of your earlier phrasings were suggestive, to my mind, of your trying to argue against the values and concepts on the page, or at least claim them to be inconsistent or otherwise useless. That's fine in and of itself, but the method of doing so appeared to be by way of what, from the perspective of a from-the-show logic, would be the utter irrelvancies of real-world vehicles. (Or more to the point, it would be like trying to constrain modern structure/vehicle densities based on the materials available to people hundreds of years ago.)
I see what you mean, but then there's this:

After all, a fighter from WW2 like the P-51 had a loaded weight of 4 tonnes. A loaded F-22 is 29 tonnes. (Empty weights are 3.5 vs. 19.7.)

At that rate (a factor of 7 per 60 years), aerial fighters massing 457 or 1700 tonnes are simply a matter of time, and not necessarily a whole lot of it. That's aerial fighters of 200 tonnes by 2070, and 1400 tonnes by 2140. ;)
That's technical progress over the past fifty years, and then for two aircraft of very different size and volume anyway. It's entirely possible that newer futuristic materials would be lighter than modern ones for the same amount of strength. You can't necessarily extrapolate future trends in mass and density just from what happened in the 20th century.

My concern for a long time was that certain Starbases (e.g. Spacedock) and shuttlecraft might be nowhere near as massive, based in part on the fact that shuttle hulls were said to be made of duranium (as if it was a primary component), as opposed to ship hulls which seemed to frequently be tritanium.
Are you sure you don't have that backwards? I remember Geordi mentioning tritanium as a hull component of the Type-6 shuttle in "Rascals," and Riker implied that the walls of Yamato's corridors are supposed to be made out of tritanium. If Tritanium is an isomer or even an isotope of titanium (like deuterium to hydrogen and so on) then its density could be relatively low.

Wooden warships gave way to steel, short-range cannonballs gave way to huge steel shells and dropped bombs, and all of the sudden you might find that from the perspective of those aboard the wooden ship, a modern naval vessel seems impossibly massive.
You'd think so, wouldn't you?

Except when you compare the wooden-hulled USS Constitution to the similar-sized Visby class corvette, have a modern ship at almost a third the displacement of its old-world counterpart.

This is because of the counter-intuitive proposition that when you use a stronger material to build a craft, you necessarily need LESS OF IT to build the same craft, and your ship can be considerably lighter for the same structural strength.

Besides, I don't have an issue with the SIZES of these ships (I was one of those blockheads who thought a 716 meter Enterprise was a pretty neat idea).

I don't think that's accurate . . . we've certainly never seen it.
DS9 "Battle Lines" and "The Siege."
 
There was a wink on that for a reason. Linear progression is almost never truly valid ... I was simply making the point that fighters don't have to have the mass you think they should based on present-day masses. It wouldn't work for a poster from 1940, after all.

As for strength versus density, that's an obvious point, but my point was in regards to the increasing stresses placed upon those same vessels. (Though I think comparing a PVC and carbon fiber hull like the Visby to the steel ships I was talking about is a little off-the-wall.) A wooden ship never had to deal with a modern anti-ship weapon, nor could it, nor could it hope to hold together when the screws of a modern ship turned. Similarly, I rather doubt that a WW2 battleship could hope to deal with a phaser or photon torpedo strike to its hull or even a short impulse burn.

In short, all that further pondering can do is produce conjecture, which might be interesting, but has no bearing on the validity of the page itself.
 
As for "Battle Lines" and "The Siege", the former was the one with a runabout, and it just crashed. That's not a liftoff on thrusters.
 
In short, all that further pondering can do is produce conjecture, which might be interesting, but has no bearing on the validity of the page itself.

Partial agreement, although it's not my intention to question the validity of the page itself, just the applicability of the estimates across all starships. My main point is that, especially in the case of smaller craft, there has to be more to it than simple volume/density equations, and whatever it is that accounts for that much higher mass might not apply to all designs, especially to small craft like shuttles and fighters.
 
As for "Battle Lines" and "The Siege", the former was the one with a runabout, and it just crashed. That's not a liftoff on thrusters.

No, but there was a serious effort by Sisko to use the thrusters to control the crash, something that would have been a bit pointless if the thrusters were applying a force of a few hundred kilonewtons against a 600 ton spacecraft. The same applies to Kira's sub-impulse flyer and its larger Bajoran adversaries that "can't use impulse engines in the atmosphere" for some reason. If the larger craft are in the 1000 ton range this is the equivalent of a small naval vessel flying around under power from a couple of jet engines.

But since all of these designs lack warp nacelles, that works as an explanation for their being much lighter than usual. Same again for the runabout, whose small warp nacelles might add a disproportionately small mass compared to their contribution on larger vessels. If the nacelles are made out of something that has a density of around, say, 20,000kg/m^2, smaller craft would have considerably less of it than larger craft, or possibly even need proportionately less of it since the warp fields they generate are that much smaller.
 
Regarding applicability across ship sizes, how do you explain the Delta Flyer density being roughly equivalent to that of Voyager? I know it includes Borg tech, but Borg tech isn't exactly lightweight given their 2.5 million tonne scouts.

Regarding thruster use inside the atmosphere, it's worth remembering the term "antigrav thruster", as referred to on Voyager at times and which nicely explain the occasional descriptions of thruster use on Voyager in the atmosphere without visible effect.
 
Honestly, I was thinking a 50,000 to 75,000 ton NCC-1701 would probably work out.

Sounds ridiculous but it has twice the volume of a modern aircraft carrier, and if it weighed half as much it would be 97,000 tons. If it was 1/4 the weight of an aircraft carrier by volume that would be around 48,500 or 50,000 tons. If it was 1/3 the weight of a carrier by volume, it would be around 65,000 tons. I don't know if this factors in the volume of the nacelles or not though, so this could potentially go up to around 57,400 to 59,200 tons assuming it was 1/4 the density of an aircraft carrier; if it was 1/3 the weight of an aircraft-carrier, it would be around 76,000 tons if the nacelles were not factored into the earlier weight figures.

Regardless, this would assume a 947 foot long USS Enterprise, not the 1,080 speculative size.


CuttingEdge100
 
Regarding applicability across ship sizes, how do you explain the Delta Flyer density being roughly equivalent to that of Voyager?
I'm not sure that's actually supportable given the example, especially since they don't seem to have actually used this method of floating the ship. Admittedly it's been a while since I saw that episode, but I seem to recall Paris opted to stay and repair the ship instead of using what was (more than likely) an optimistic gambit by seven. More to the point, since the Flyer did not immediately sink and crash into the reactor/gravity generator, it's probable the ship was in a state of neutral buoyancy the entire time.

Which is just another reason to run these formulas against existing craft--submarines especially--to see how they pan out.

Regarding thruster use inside the atmosphere, it's worth remembering the term "antigrav thruster", as referred to on Voyager at times and which nicely explain the occasional descriptions of thruster use on Voyager in the atmosphere without visible effect.

But only on Voyager, and the visible effects ARE present with 23rd century craft like the Klingon Bird of Prey, the STV shuttlecraft and even the Monsterprize. Plus, antigrav thrusters would only be useful for levitation, not so much forward motion or maneuvering, where thrusters are also used.
 
Regarding applicability across ship sizes, how do you explain the Delta Flyer density being roughly equivalent to that of Voyager?
I'm not sure that's actually supportable given the example, especially since they don't seem to have actually used this method of floating the ship.

It seems they did. The ship was damaged, but instead of heading up right away they stuck around to try to repair the waterworld's central doodad thingy. They gave it short term help with a power transfer beam, but there's no indication that the ship itself was repaired . . . as later seen on sensors from Voyager, the Delta Flyer was ascending very slowly.

Interestingly, one of the things they were going to 'toss overboard' is drive plasma.

Which is just another reason to run these formulas against existing craft--submarines especially--to see how they pan out.

Be my guest! The models and methods are available on the page.

Regarding thruster use inside the atmosphere, it's worth remembering the term "antigrav thruster", as referred to on Voyager at times and which nicely explain the occasional descriptions of thruster use on Voyager in the atmosphere without visible effect.

But only on Voyager, and the visible effects ARE present with 23rd century craft like the Klingon Bird of Prey, the STV shuttlecraft and even the Monsterprize. Plus, antigrav thrusters would only be useful for levitation, not so much forward motion or maneuvering, where thrusters are also used.

I'm afraid that's not correct. In order for your idea of thruster plume visibility representing mass to work, you're correct inasmuch as we should expect something on par with solid rocket booster levels of thrust to be involved. Even if we presume a "smokeless powder" sort of advancement with the propellant itself, the exhaust plume would still be enough to seriously damage the local environs when used near the ground. But that isn't what we see at all.

The KBoP landing of ST3 hardly featured enough effect to land a Harrier. The story is the same with ST4 with the take-off (a little dust-off, but no more) from Vulcan and the landing in San Francisco. Yes, the ship blew garbage around when it landed a few dozen feet from the road, but it's not much more than a helicopter landing's worth of wind . . . note crap flying around the stands as the chopper is landing on the field.

The shuttle in ST5 had the little glowy bit on its bottom, but as far as any indication of thrust when landing on the planets I don't recall any. Trekcore's screencaps don't suggest any on the god planet. And the Monsterprise was at the edge of a soupy weird atmosphere, and as I recall we didn't see any significant effect on the atmosphere besides the thruster burn anyway.

In short, at no point do we see thrust anywhere near what would have to be assumed for an antigrav-free take-off as you are suggesting. If we were to use the thrust observed to estimate vessel masses, then we would quite probably have to presume the vessels weigh less than their occupants.
 
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