See DarkStar get his asteroid calculations kicked.

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Post by Darth Wong »

Sean, I think you've made some decent points, but you have to remember that the title of this thread relates directly to Darkstar. I don't think it's entirely fair to create your own position in this thread and then take MOO to task for attacking Darkstar's position rather than yours, when the subject of this thread is Darkstar's position, after all. Perhaps a separate thread would have been wiser.
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Post by Master of Ossus »

seanrobertson wrote: I see no reason for hostility or dramatics. It doesn't do anything to enhance the exchange, no? So relax a little. I don't recall anything
I'd said that screamed, "Flame me!" in so many words.
What? You started your participation in this thread by totally ignoring the fact that I conceeded several points to DarkStar and then attacked some of the points that I made about those (when I was just pointing out some of his inconsistencies instead of using them as a primary attack), and then you came up with this:
seanrobertson wrote: if you haven't addressed the points
adequately (which you have not--no offense intended), you're
going to continue to get taken to task for it, MOO.
I got the words for my flames almost right out of your mouth, and then you accused me of not understanding your argument. I'm sorry I started flaming you, but you are really a post and a half behind when you said much of our last exchange. Did you honestly even read my exchange with Robert before you came in and started talking about Gamma radiation?
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Post by seanrobertson »

Master of Ossus wrote:No, I was saying that if you make a statement about where Mike said something, you must post where it was from if asked for it. You dismissed my statements that it was not from his database at first, and you told me to ask Mike where it was from. That is not a proper method of debate.
Uhh...did I not do this? I was mistaken in thinking it was in the
canon database--sorr-rrrr-eeee! :P You've got the source now.
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Post by Master of Ossus »

seanrobertson wrote:
Master of Ossus wrote:Also, actually, it's kind of good that you guys are defending DarkStar. At least this way he can't say that the whole board is against him, and you might take some ammunition out of his hands when he finally decides it's time to respond to this thread.
Defending Dark Star?

How am I defending Dark Star? All I did was respond to your critiques
of his page, and now I'm defending Dark Star, the man?

I'm not even trying to reaffirm his figures. I KNOW I have stated
that the lower-limit from the incident would be in the low to mid-kiloton
range, NOT hundreds of megatons.
You are defending DarkStar's points. That is defending DarkStar. I too have defended DarkStar in the past, though not usually against someone else who was trying to attack his points.

Incidentally, sorry about the typos in my previous posts.
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Post by Master of Ossus »

seanrobertson wrote:
Master of Ossus wrote:No, I was saying that if you make a statement about where Mike said something, you must post where it was from if asked for it. You dismissed my statements that it was not from his database at first, and you told me to ask Mike where it was from. That is not a proper method of debate.
Uhh...did I not do this? I was mistaken in thinking it was in the
canon database--sorr-rrrr-eeee! :P You've got the source now.
You did tell me where you got it well after you originally stated that it was from his Database. When I told you it was not in his database, you at first ignored me and then said something to the effect of "Oh wait, it's not there." After that, you eventually came up with it after first telling me that when I said that you were mistaken I was clearly wrong. I said that you were mistaken with regards to the location of where he said that.
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Post by seanrobertson »

Darth Wong wrote:Sean, I think you've made some decent points, but you have to remember that the title of this thread relates directly to Darkstar.
Quite true.

I don't think it's entirely fair to create your own position in this thread and then take MOO to task for attacking Darkstar's position rather than yours, when the subject of this thread is Darkstar's position, after all. Perhaps a separate thread would have been wiser.
Yeah. I did pervert this into "what I think" unintentionally. D'oH!
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Post by Master of Ossus »

seanrobertson wrote:
Darth Wong wrote:I don't think it's entirely fair to create your own position in this thread and then take MOO to task for attacking Darkstar's position rather than yours, when the subject of this thread is Darkstar's position, after all. Perhaps a separate thread would have been wiser.
Yeah. I did pervert this into "what I think" unintentionally. D'oH!
That's okay. I wonder, incidentally, where DarkStar is. I was kind of expecting him to see his name in the title and then come in swinging. Maybe he's learned his lesson from last time.
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Post by seanrobertson »

I'm going to have to stop quoting you directly! It's doing great for
my post-count and keeping me distracted from what I should be
doing (but don't want to), but let me say this:

--Don't worry about the typos.

--The beginnings of a flame came from an irksome thing I said? Okay.
I don't doubt that :)

--I think we're square on everything else. I would like to see where
your objections stand...and hey, if I simply reiterated a bunch of
the same old stuff, I apologize. I did give the thread a cursory
glance, but all I saw insofar as the brittleness of the rock was
Robert's comparison of the effects to that of the Romulan plasma
weapon's in "BoT."
You are defending DarkStar's points. That is defending DarkStar. I too have defended DarkStar in the past, though not usually against someone else who was trying to attack his points.

Incidentally, sorry about the typos in my previous posts.
Well, okay, we're not square on this :)

I don't see defending anyone's points as defense of them, since in some sense the words/their truthfulness are universal. Aerius points
out that the radiation of those fragments would be staggering had they
simply been embrittled; that shoots a huge hole in my "brittle the
rock" idea, but does nothing toward Sean, the guy behind the computer
madness, for instance.

And to pick purely in semantics, I was critiquing your critique of DS's
points, not necessarily upholding his. (I still think photorps are high
kiloton to low megaton ranged devices, myself, leaning toward that elusive "golden mean" but not simply because it's the middle ground.)

More after I'm less dizzy...
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Post by Master of Ossus »

I can see where you're coming from on this. The thing is that I created this thread specifically to attack DarkStar's site. I was thus moving under the assumption that everyone who came in to question me would be moving in defense of DarkStar. I was surprised when you seemed to change position on me by saying that your theory was different from DarkStar's, and that I could not counter your arguments by mixing them with DarkStar's (which is what I assumed you were doing). However, I can understand that you think of defending someone is far removed from attacking a critique of their points. In fact, I agree with you. For instance, I think that Robert Walper's credibility with me went up a very great deal when he admitted that he had been wrong. The same, I hope, will also be true for other debaters. Sorry about that little exchange. I guess I typed too soon, so to speak. I didn't really mean to flame you as badly as I did, and you are right, I should have waited to see what you were actually saying before I instantly assumed that you were defending DarkStar. Sorry about that.
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Liar.

Post by Ender »

DarkStar wrote:
Master of Ossus wrote:
I found this a bit strange, as he repeatedly told us that an asteroid's composition cannot be determined from video footage of ESB
No, I have said that Warsies are incapable of deciding one way or the other what an asteroid's composition should be. Some have declared that the asteroids were reddish, and therefore high in iron. Some have declared that they are gray, and therefore high in iron. Some have said that they are dark, and therefore high in iron. Some have said that they are bright, and therefore high in iron.
You say that we can't decide what it's composition is, yet then say we all agree it is largly iron. This is a contradiction and a lie.

The only place where we disagree is the color of the asteroids, somethng that can be put down to screen settings and video quality.
Finally, (and this is what a lot of people picked up on) DarkStar says that that is far greater than SW firepower and references some "maximum" figures from a few SW sites. They all have slightly different estimates based on the same incident, but the range is 250 to about 2900 terajoules. Those are LTL's, but seeing as how EVERYONE knows he isn't going to allow for the possibility of higher power TL's based on EU evidence (or whatever else), so I will grudgingly give him that point, as well.
As stated, those are the highest canon estimates of observed Star Destroyer firepower.
A complete and total lie, as we have the different bolt intensities in the ROTJ battle from whence we get the 4x and 125x ratios.

You are a plain and simple liar.
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Post by DarkStar »

Master of Ossus wrote:Explain to me how, if the asteroid really was made up of such brittle material, Voyager did so little damage to it.
Let's say, for example, that the entire asteroid was made of olivine. It's a hard material, but not a very dense one, with brittle, conchoidal fracture.

Now, compare this to iron. Iron is a softer material, much higher density, with a jagged, torn fracture.

Now, let's say you fire a bullet at a wall made of olivine. You'll probably end up with a hunk of broken fragments flying away, and might even get cracks running from the point of impact. Do the same to an iron wall, and if the bullet penetrates more than a dent's worth, you'll get torn metal.

Detonate a thermonuclear weapon next to that wall, and the olivine wall will probably shatter. The more resilient iron wall may either tear wide open, or just sit there and melt, et cetera, depending on various factors.

Make sense?

This would assume, of course, that the entire asteroid was olivine, and not nickel-iron with a couple of oddball chunks of olivine. Given the fact that it fragmented in the way it did without vaporizing as expected, that isn't a bad hypothesis. But, then, the Nisu astrophysicist dude mentioned in his transmission that the asteroids were composed of artificial materials . . . whether he was simply finding evidence of the triatium alloy or whether the majority of the asteroid was literally artificial is not clear.
We KNOW that Voyager did not destroy the asteroid. It did not even come close.
Well, a 100m chunk and a smaller, perhaps 50 meter chunk flew toward the planet. Another chunk of about 40 meters flew off to the left. There was also a bunch of other crap flying around, but it's too small (and the vidcap I saw the ep with is too low-res) for me to get much more out of it. Let's say, for the sake of argument, that an extra 50m asteroid's worth of material made it out of the torpedo blast.

If all that is correct, then it means 688,410 m^3 of debris was left over by the torpedo blast. For an asteroid that started out at 13,500,000 m^3, that ain't half bad.
Darkling, DarkStar's site does not explain how the asteroid could have been so brittle, or how a rock that brittle could have taken so little damage from the torpedo. His premise is flawed.
A hard, brittle asteroid is more likely to fragment than a soft, pliable one.
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Re: Liar.

Post by DarkStar »

Ender wrote:
DarkStar wrote:
Master of Ossus wrote: No, I have said that Warsies are incapable of deciding one way or the other what an asteroid's composition should be. Some have declared that the asteroids were reddish, and therefore high in iron. Some have declared that they are gray, and therefore high in iron. Some have said that they are dark, and therefore high in iron. Some have said that they are bright, and therefore high in iron.
You say that we can't decide what it's composition is, yet then say we all agree it is largly iron. This is a contradiction and a lie.
No, I did not say you can't decide what it is, I said you disagreed about what it should be, referencing back to Ossus's point about composition from color. Warsies have decided that it is iron, but are unable to decide one way or another whether it should be iron based on color, brightness, and so on.
The only place where we disagree is the color of the asteroids, somethng that can be put down to screen settings and video quality.
NTSC . . . Never Twice the Same Color (or Never The Same Color twice, depending on where you hear it)
As stated, those are the highest canon estimates of observed Star Destroyer firepower.
A complete and total lie, as we have the different bolt intensities in the ROTJ battle from whence we get the 4x and 125x ratios.

You are a plain and simple liar.
Variable intensities, or variable widths, or variable lengths? You have to be exceedingly careful when attempting to scale firepower based on that, which is why I specifically said "observed Star Destroyer firepower". We do not know what the firepower of your larger bolts is, because we haven't observed it hitting anything we know the qualities of. Indeed, if we're talking about the same bolt, we didn't see it hit anything at all.
http://www.theforce.net/swtc/Pix/zs/rotj/turrbolt.jpg

As an example, let's take a turbolaser bolt, and let the energy content remain a constant. Double the length, and you halve the firepower. Double the width, and the intensity (i.e. watts/m^2) falls off. Double the intensity, and you actually have a thinner bolt.

Some people point to the huge fat barrels of the heavy cannons, and scale firepower accordingly.

(http://www.theforce.net/swtc/Pix/chron/isdguns1.gif vs. where ever the gun is in this: http://www.theforce.net/swtc/Pix/Xbrooklyn/Isd15.jpg which fired this: http://www.skayhan.net/images/Asteroid/ ... sitesm.jpg)

Well, we don't know the intensity of what's coming out of there, and so far I haven't seen anyone try to figure out the intensity of the bolt in the ROTJ pic above. You could compare it to these:

http://www.theforce.net/swtc/Pix/given/by/flcpass2.gif

Or these:

http://www.theforce.net/swtc/Pix/given/by/bigblt3.jpg
(Which may also be these: ) http://www.theforce.net/swtc/Pix/given/by/smlblt1.gif

Or these:

http://www.theforce.net/swtc/Pix/given/by/bigbolt.gif

Of course, all of that assumes that turbolaser bolt intensity, width, and so on act more or less like laser intensity, width, etc., which I would expect to be the case but may not be, since we still don't quite know what turbolasers are all about.
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Post by Master of Ossus »

DarkStar, why didn't that piece of material fracture during the 100MT+explosion? It makes no sense. Even if there was iron between that particular piece and the torpedo when the torpedo hit, we should be able to expect considerable force to be transmitted through the asteroid, fracturing such a brittle piece into smaller pieces (splinters). If Chakotay was able to crack the thing open like a geode then we would expect to see that it would have already been broken apart if the blast was anywhere near as massive as you claim it was. Now, I have no problems with estimates based on this incident in the very low MT to high kiloton range, but to say that this is an example of a 100+MT blast is absurd. If the weapon fired could not shatter rock that was as brittle as Chakotay demonstrated then the weapon could not possibly have been as powerful as you are saying.

Now, iron or nickel are fairly dense materials that are fairly soft, but the fragment of the asteroid that we saw has nothing to do with that. It clearly demonstrates no metalic qualities, which are necessary for your calculations to be scaled properly. Further, your assertion that parts of the asteroid were vaporized because we cannot see them in the aftermath of the torpedo attack is flawed because we can easily see that parts of the asteroid were hollow. It is likely that other parts of the asteroid were also hollow, and that they were not completely made up of material. That would explain why there is so little material left over. This is especially pertinent because the asteroid's FRAGMENTS were hollow. This indicates a substantially lower volume and mass for the asteroid than the ones that your faulty assumptions would provide us with.

Having made these assumptions, you come back and tell us that because the asteroid was not vaporized is irrelevent. This appears to be inconsistent with your overall position on SW, which holds that because the HTLs that we have visual record of have not been shown as firing in the movies on a target whose properties are known, we cannot assume that they have higher firepower. If you apply that policy to SW, for consistency's sake you should also apply that for ST and say that because the asteroid was not vaporized and we do not know its properties then we cannot reach conclusions based upon what we see.

Now, if the torpedo was as powerful as you are saying it is, we would expect to see the asteroid completely fragmented. We should be seeing what Harry Kim was expecting, which involved fragments of no more than a centimeter across. Instead we see that there were likely many fragments the size of beach balls or larger, and at least three reasonably substantial chunks of asteroid. All of these might have been hollow, as we know that Voyager was unable to detect the asteroid's cavities. Alternatively, both Chakotay's estimate and Kim's estimate might have been based on a largely hollow asteroid.

I really don't see how you can propose such high weapons figures based on this particular incident. If anything, the torpedo's impact appears to have done spectacularly little damage. In fact, going off of Mr. Robertson's estimates, the torpedo was really doing almost no more damage to the asteroid than a coffin sized bit of metal fired at that speed. Further, your position is inconsistent. Please revise your page on this matter.
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Post by DasBastard »

MoO: I am very surprised that you have not attacked the very weakest part of the page: the ridiculous scaling job of the torpedo wrt Voyager. Given that Voyager's total height (including the 'saucer') is ~65m, there is no way in hell that the torp is more than 2m across. Which means that DarkStar's linear values are out by a factor of at least 5 and his asteroid mass figures are out by a factor of at least 125. Which means that his yield figures are similarly 125 times too large.

End result: the events of 'Rise' put an upper limit of about 1MT on the yield of Voyager;s torps.

Another one bites the dust.

Commence Trekkie whining.
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Post by Master of Ossus »

DasBastard wrote:MoO: I am very surprised that you have not attacked the very weakest part of the page: the ridiculous scaling job of the torpedo wrt Voyager. Given that Voyager's total height (including the 'saucer') is ~65m, there is no way in hell that the torp is more than 2m across. Which means that DarkStar's linear values are out by a factor of at least 5 and his asteroid mass figures are out by a factor of at least 125. Which means that his yield figures are similarly 125 times too large.

End result: the events of 'Rise' put an upper limit of about 1MT on the yield of Voyager;s torps.

Another one bites the dust.

Commence Trekkie whining.
To be honest, I didn't give a damn. But you're right, his scaling is grossly incorrect.
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Post by DasBastard »

It's pretty typical that he would scale off of the last possible frame in which both the torp and Voyager are visible, and are furthest apart - thus generating the largest possible amount of error, which in turn allows the greatest fudging of the values.

Anyone with half a brain (or without ulterior motives) would scale when the torpedo is as close to Voyager as possible, to minimize the uncertainty.

Of course, doing so does not easily allow the inflation of the torpedo's size by a factor of 5, which is of course why Scooty-Doo didn't do it that way.
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Post by Master of Ossus »

DasBastard wrote:It's pretty typical that he would scale off of the last possible frame in which both the torp and Voyager are visible, and are furthest apart - thus generating the largest possible amount of error, which in turn allows the greatest fudging of the values.

Anyone with half a brain (or without ulterior motives) would scale when the torpedo is as close to Voyager as possible, to minimize the uncertainty.

Of course, doing so does not easily allow the inflation of the torpedo's size by a factor of 5, which is of course why Scooty-Doo didn't do it that way.
What are the pixel counts for your scaling? I'm getting a torpedo a little less than a meter across.
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Post by DasBastard »

Master of Ossus wrote:What are the pixel counts for your scaling? I'm getting a torpedo a little less than a meter across.
Torpedo: <= 7 pixels (depending on what intensity I draw the line at, I get anywhere from 3 to 7) .

Deflector height: 53 pixels.

Deflector height scaled from Voyager's 343-m length: 16 m.

Torpedo size scaled from deflector dish: <= 2.1 m.



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Post by The Yosemite Bear »

Hey if the ESB asteriod is always changing color it must be Irridium from Hammer's Slammer's verse.

Gee that would meen that it would need much more energy to vape then previously calulated.....
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Post by CmdrWilkens »

DarkStar wrote:<snip>
If all that is correct, then it means 688,410 m^3 of debris was left over by the torpedo blast. For an asteroid that started out at 13,500,000 m^3, that ain't half bad.<snip>
One thing here though if we take you given dimensions
The entire point of the episode is that they expected to vaporize an iron-nickel asteroid of 390 x 210 x 210 meters.
Then we assume ellipsoidal shape (you can see rounding at both end, additionally we have no clue, from the episode, of depth only width). In other words if we assume a less generous shape in order to be conservative we arrive at the forumla for ellipsoidals V=4/3 pi (x*y*z) which yields 9,005,375 m^3 which is a significant chunk smaller than you claim with corresponding decreases in total requisite energy.

In fact for a pure iron asteroid your absolute max for total vaporizaiton would now be down to 122 MT (damn where DID that 192 MT you quoted me on ASVS go?). Now do I believe any of these numbers are realistic yield estiamtes? Hell no.

My point with all this has been to demonstrate that you specifically used an asteroid shape you have no proof for which was the most generous to you. You have only 2D pictures of the asteroid (the ESB one rotates so we can analyze in 3 dimensions) which means we have no real clue about the 3rd dimension. I understand you were somewhat generous with torpedo size estimation but using a cylinder without real proof that it is close to a cylinder does dramatic change to the highest order estimates (drops yours by 70 MT from what you quoted me). Correspondingly the low end estimates of the situation drop as well. If they were expecting (as Kim was) extreme fragmentation we are only talking about hundred KT range. Basically you've taken some incredibly generous asusmptions about the entire affair (not the least of which is your obvious preference for believe in the infalliability of the Voyager crew when it comes to scientific analysis)
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Post by Lord Poe »

DasBastard wrote:
Master of Ossus wrote:What are the pixel counts for your scaling? I'm getting a torpedo a little less than a meter across.
Torpedo: <= 7 pixels (depending on what intensity I draw the line at, I get anywhere from 3 to 7) .

Deflector height: 53 pixels.

Deflector height scaled from Voyager's 343-m length: 16 m.

Torpedo size scaled from deflector dish: <= 2.1 m.
Actually, the VGR episode "Ashes to Ashes" shows a torpedo much more clearly:

Image
Image

"Brian, if I parked a supertanker in Central Park, painted it neon orange, and set it on fire, it would be less obvious than your stupidity." --RedImperator
DarkStar
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Post by DarkStar »

Master of Ossus wrote:DarkStar, why didn't that piece of material fracture during the 100MT+explosion? It makes no sense. Even if there was iron between that particular piece and the torpedo when the torpedo hit, we should be able to expect considerable force to be transmitted through the asteroid, fracturing such a brittle piece into smaller pieces (splinters).
Olivine, for example, doesn't splinter. That's a different sort of fracture. Once a conchoidal fracturing occurred, the remaining fragment's survival would be pretty much guaranteed, unless it happened to be in the middle of the vaporized area, or one of the molten-looking pieces floating off.
Now, iron or nickel are fairly dense materials that are fairly soft, but the fragment of the asteroid that we saw has nothing to do with that.
No duh. However, nickel-iron is what they were expecting when they expected to vaporize the asteroid.
This appears to be inconsistent with your overall position on SW, which holds that because the HTLs that we have visual record of have not been shown as firing in the movies on a target whose properties are known, we cannot assume that they have higher firepower.
No, we can assume they have a higher firepower all day long . . . I would hope they do . . . but we can't be sure just how much higher. On the other hand, Chakotay and Kim clearly state that they thought the asteroid was iron-nickel, and that it should've been vaporized, with any remaining fragments being no more than 1cm in diameter.

There is a profound difference between these statements of expected effect, and expectations of effect based on scaling efforts with gun barrels.
Please revise your page on this matter.
I see no need, though I may make addenda at the bottom referring to your claims in order to clarify the issues involved. (I would say "idiot-proof", but frankly I'd have asked the same questions, too, if I hadn't already played around at webmineral.com and related sites in regards to other issues.)
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Post by DarkStar »

DasBastard wrote:MoO: I am very surprised that you have not attacked the very weakest part of the page: the ridiculous scaling job of the torpedo wrt Voyager.
I did not scale off the torpedo casing, but the flashy shimmer area and the central glow. The torpedo glow increases dramatically upon exit from the torpedo tube, then remains constant. Thus, I selected the final frame in which the torp was visible, and assumed that it was being fired toward the observer.

This way, I did not incur the obvious error of scaling off of the glow as the torpedo came out of the tube, and yet still managed to give a lower limit value to the torpedo as it appeared in the last moments the Voyager reference point was available.
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Post by DarkStar »

CmdrWilkens wrote: Then we assume ellipsoidal shape (you can see rounding at both end, additionally we have no clue, from the episode, of depth only width). In other words if we assume a less generous shape in order to be conservative we arrive at the forumla for ellipsoidals V=4/3 pi (x*y*z) which yields 9,005,375 m^3 which is a significant chunk smaller than you claim with corresponding decreases in total requisite energy.
Actually, no. As I make reference to on the site, I have used something lower than the median value for the asteroid's width . . . it's depth is similar. Therefore, I have arrived at a figure which should approximate the true value, even including the slight rounding at the bottom, and more substantial rounding at the top.
In fact for a pure iron asteroid your absolute max for total vaporizaiton would now be down to 122 MT (damn where DID that 192 MT you quoted me on ASVS go?).
I used Wong's calculator, inputting as the size of the asteroid a sphere with the same volume as that which I have calculated.
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Post by Robert Walper »

I'd like to mention that whatever the outcome, calcs for Voyager blowing up this asteroid, in whatever fashion, should not be taken as a maximum yield for photon torpedoes. We're merely establishing a lower limit of the torpedo's yield in this specific instance. I've seen no evidence that the Captain ordered a maximum yield torpedo to destroy this asteroid. After all, if a group of heavily equipped people want to level a building, and their portable rocket launchers(ie: lower yield weaponry) aren't doing the job, it's highly unlikely they'll immediately switch to their portable nuclear warhead launcher.

What I think alot of people are forgetting is that the Federation is dedicated to exploration and peaceful contact. They are so passive in fact, they will pass up an "apparent" option to wipe out their greatest foe, the Borg (ref: STTNG "Hugh"). Mike Wong actually makes an excellent point regarding how stupidly passive this action is.

I find it highly unlikely the Federation has it's exploration vessels bristling with maximum payload of maximum yield torpedoes. These weapons must be armed, and could very well be armed with an exisiting anti-matter supply meant more for the warp engines. Their onhand supply of torpedo fuel could be extremely limited for exploration ships, especially if you're cut off from proper resupply facilities, like Voyager.

Federation ships in my opinion are capable of large scale destruction and combat roles, however, they must be preped beforehand in order to do so, like in incidents such as "Best of Both Worlds", the Dominion war, etc. From what I've seen, virtually all low end calcs for torpedoes are done in non-combat situations, or situations where combat wasn't anticipated(hence, not preped beforehand, Fed's are passive babies after all).

Imperials vessels on the other hand, are designed primarily for combat. They are heavily armed from the start, they don't have "passive" missions. Undoubtably the most passive mission an ISD would have is checking out a area, with the intention of either scaring or beating the shit out of any would-be enemies. Their idea of diplomcy is "Base Delta Zero". :)

I think when calculating torpedo yields, one must consider the Federation ship's status: Were they expecting combat within a timeframe allowing weapons being fully armed? Are they prepared for combat, as in torpedoes previously loaded with anti-matter instead of draining their engines to get it? Did or do they have a supply base in which to get to true battle mode, such as Voyager?

Just some thoughts...
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