Calculating the Spiral

Spiral1.JPG

The magnificent spirals that illuminated the early morning Norwegian skies lasted only a few minutes, but their appearance continues to captivate the minds of people worldwide.  The internet is inundated with pictures and eyewitness video accounts of the event. The Russian Ministry of Defense immediately claimed no mystery behind the December 9, 2009 phenomenon, citing a failed launching of submarine ballistic missiles as the cause. Despite this assertion, global skepticism reigns and theories run rampant.

Arash Amini is an undergraduate Physics major at the University of Illinois-Chicago. His mathematics paper, “On the Norway Spirals and Their Physically Impossible 'Ripple' Propagation” serves to debunk the assertion made by the Russian Ministry of Defense. Amini uses time lapsed photography, video footage, and basic trigonometry to attempt to prove the Norway Spiral could not have been caused by a failed submarine launched missile.

The time lapsed photograph shows the two spirals as they appeared above the mountains of Skjervoy, Norway. The perfectly formed ripples indicate the spirals must have stemmed from a force with regular frequency. Video footage shows the ripples moving away from the center of the spiral, the rotation count per second yields the frequency of the ripples.  Utilizing Google Earth, the location of the mountain in relation to Tromso and the center of the White Sea is found and shows comparable mathematical symmetry of the time lapsed photograph.

Armed with these observations Amini explains the formulaic improbability of the missile claim. The mathematics of the paper are impressive but only time may reveal the secrets of the spirals, if they were ever meant to be revealed.

 

Image: "Spiral" by ciokkolata_farabutto_neve r_loved_berlusconi on Flickr courtesy of Creative Commons Licensing.

 

AttachmentSize
2Norway Spirals' Impossible .pdf753.01 KB

Comments

Nice try...

      Thought you'd restore my fondness in this RS website did you?

      Nicely done!

      So, if it wasn't a missile (I never believed it was, anyway), what the heck was it?

Amini's paper appears both simple and correct

As a Caltech Ph.D. for whom the math is simple, I would like to say that Amini's paper appears both simple and correct.

If not a missle, then could any existing human technology create such an amazing display of lights? Probably not, especially not in the dead of winter in northern Norway.

In which case, one might wish to consider that it was designed and beamed into the early morning Tromso sky by extra-terrestrials?

Perhaps as a message to Obama, or as a sign or warning about some major event in our near future? Further constructive discussion would be welcome here.

Fire 0f Unknown 0rigin

  

 Red Collie--

 My first intuition was (also) of ET design.....perhaps foretelling of an astounding astronomical event in the near future.....

 

There is no such thing as chance; and what seems to us merest accident springs from the deepest source of destiny.

Friedrich Schiller (1759 - 1805)

 

Agrees rather nicely with rocket exhaust speed..

The range of speeds calculated in the paper (v sub low , 316 meters/second and v sub high, 32,873 meters/second) bracket the speed of the rocket exhaust of an ICBM rather nicely, at about 11,000 meters/second.

 

His primary mistake is that he omits the effects that the change in atmospheric pressure will have on the propagation of the rocket exhaust plume. At a mere 30 kilometers, atmospheric pressure is a hundredth what it is at sea level, and the plume travels much further and more freely than it would down here.

 

Personally, I think there is a lot to talk about, even if this spiral was created by a malfunctioning ICBM launch. Such a large and visible failure of a vehicle designed for transporting a nuclear weapon, and its launch near the terminator, which would guarantee that its exhaust would be very visible from the ground makes you wonder what they were playing at.

many examples of rocket exhaust plumes

Dear Seachanged and others,

Here is a page which shows over a dozen rocket exhaust plumes at high altitude:

http://www.moonglow.net/ccd/pictures/rocket/index.html

I can't find anything there which even remotely resembles the Norway spiral! If anyone can find even one example of a failed or intact rocket (missile) in all of modern history, which resembles the Norway spiral, then I will certainly consider that theory.

But if no previous example can be found, and we have to rely on some theoretical simulation from a computer graphics system, in order to "explain away" what was observed in a purely ad hoc fashion, then surely everyone would agree that the "failed rocket" theory seems doubtful?

Here you go, Red

http://www.youtube.com/watch?v=ixLE3iuszbU

Your use of the word theory is either colloquial or mistaken. The word that best fits is hypothesis.

"A hypothesis is an educated guess, based on observation. Usually, a hypothesis can be supported or refuted through experimentation or more observation. A hypothesis can be disproven, but not proven to be true."

A theory is a hypothesis that has grown cobwebs:

"A scientific theory summarizes a hypothesis or group of hypotheses that have been supported with repeated testing. A theory is valid as long as there is no evidence to dispute it."

I postulate neither theory or hypothesis. I am using Occams Razor, a reductionistic rule of thumb, and suggesting causes for the Spiral that are simpler than the invention of an extraterrestrial civilization (which I'm pretty sure exist) that has travelled to our earth (which I'm pretty sure hasn't happened) and is trying to help us through these hard times (which I suspect is a projection of your own desires).

It should be a message to Obama, though. The Russians are working on their sea-launch nuclear missiles. They've had problems with their submarine program, made known to the world by the Kursk disaster. Russia has just exceeded Saudi Arabia in oil exports, September of this year. They froze Europe  two years ago just so they could use petroleum based energy as a weapon against Ukraine. Putin has a will to power and has the weapons and energy to do it, with the support of people that have found freedom painful and confusing.

 

no thanks

"an extraterrestrial civilization...  is trying to help us through these hard times"

I don't mean to be combatative, but what you say is overly simplistic religious hokum.  to say that we are going to be helped or saved by anything beyond ourselves IS religion, and in my opinion it is lazy and counter-productive.

IF we are to get through any hard times, it would be best to get through them ourselves. That way, we become aware of the process of getting through the hard times. When we are aware of the process, we learn how to navigate away from similar traps in the future. IF we are "saved" by something else, we never learn.

Also, waiting for salvation is craven. simple as that. Why not DO something and stop slogging blame on everyone else?

"It should be a message to Obama, though."

says you! and please tell me why an extraterrestrial civilization would a) give a fuck about earth and b) use all it's technology to send a message to Obama? what makes you think Obama (or Putin for that matter) are REALLY in charge of ANYTHING? And, why are we or earth important to anything but ourselves?

my god, for a website derived from psychedelic culture, there sure are a lot of people strongly rooted in the old consensual reality here!

salvation

 I think humans are pretty interesting myself.

Seems like you're off topic though, I say mukraking! 

Talk elsewhere about religion and saviors.

then you miss my point. I

then you miss my point. I was reacting to seachanged's comments that seemed to evoke alien salvation in a religious way. essentially I was saying what you said, "Talk elsewhere about religion and saviors."

This should go without saying...

Supposing he's correct, that doesn't validate equally (or more) wild claims. It's not like the only possibilities are test rockets or UFOs. It simply opens up the question of what could produce such an effect.As to what it WAS... barring more concrete evidence I'm happy to leave it a beautiful question mark.

(Unrelated, the captcha below is "WIFE COCONUTS". What are the machines trying to tell me?) http://joinmycult.blogspot.com

missile and haarp together?

I'm not sure what kind of speed you'd expect from the exhaust of a missile.Is it possible that the spiral could have been caused by the missile and the effects from the HAARP facility interacting together? We do know that an experiment was conducted at EISCAT at the time of the spiral, where they effectively charge up the sky with energy. Could those conditions created by that experiment have affected the speed and behaviour of the rocket? Also is there any conventional explanation for the black hole that was made as the spiral disappeared, it seemed blacker than the surrounding sky.

Conventional explanation coming right up..

But I honestly don't think you'll like it. And you're right, it is darker than the surrounding sky.

When the third stage of the missile ran out of the liquid fuel that it was spewing, it stopped spewing, but the fuel that it had already dispensed continued moving in the direction and at the speed that it was dispensed. Since no more fuel was being emitted at the center of the spiral, it appeared that a black hole was expanding there.

The rate of the expansion of the black hole is determined completely by the rate at which the fuel was being emitted. And the space around the black hole is still occupied by the already emitted fuel, which is glowing because of the "twilight effect", which is sunlight shining on the fuel at high altitude, while the sun has already set for the surface of the earth. Check out this guy's blog at http://www.environmentalgraffiti.com/featured/rocket-trails-twilight-ill... for some nice photos of this glow.

I think what happened is that the third stage liquid fueled engine failed to ignite. The "blue beam" that seems to emanate from center of the spiral is the trail from the liquid fuel that should have been ignited during the pause between second stage burnout and separation and third stage full power, and the spiral itself was caused then when the main fuel pumps were turned on.

In case you're still reading, this is probably verifiable. If this spiral was created by a Bulava missile, then  the time between when someone noticed the spiral to the first appearance of the black hole should be less than 56 seconds. The pumps would empty the fuel tanks a little faster than the designed 56 seconds if there was no combustion going on in the combustion chamber.

Of course, even if the entire spiral took under a minute to form in the sky, that in no way proves that it was a Bulava missile.

 

when I speak of ET's...

when I speak of ET's ....I refer to the conscious universal force that flows thru the cosmos....not in particular little green men.

Failed missile launches are ...smelly..ugly..chaotic...etc.

This was a beautiful geometric design...a portent...(a cosmic code).... a divine symbol that has slipped through from another world.....perhaps having something to do with our own expansion process?

Here are the answers...

http://divinecosmos.com/index.php/start-here/latest-news/521-disclosure-...

and

http://www.enterprisemission.com/Norway-Message.htm

Looks like Faction B just bitchslapped the Illuminati/NWO!

---

A major paradigm shift is upon us. Calculate our trajectory. Navigate the transition. Create A New Matrix. http://anewmatrix.blogspot.com

Very interesting

In your first link posted, there is information stating that the pyramid UFO that hovered over Kremlin in fact happened the very same day as the Norwegian spiral?

That is very interesting and coincidental, or synchronistic.  Then again is it really too hard to believe that two events such as this happened on the very same day?  We are fortunate enough that these two events were caught on camera but I am sure there are many many phenomenon which are occuring everyday in a lot of different places, they just haven't been documented.

NEW PAPER

Hi All, I've been notified of some mistakes in my first paper so i've re-written it. I've posted the new one at my blog once more: http://bringthefunk.blogspot.com/2009/12/on-norway-spirals-and-their-phy... thank you all for the lively discussion! Best, Arash.

Follow-up observations

Dear Seachanged, Arash and others,

Yes, similar atmospheric phenomena have been seen before in China during the 1970s, or at Fatima in October 1917, but no one thinks that either of those two previous incidents could have been a "failed rocket".

No Russian submarine commander would test fire an unreliable intercontinental missle in the direction of Finland, Sweden and Norway for obvious political reasons!

The second pdf file by Arash reports how that particular Russian missle used solid-fuel propellants. Hence the big cloud which surrounded that constantly-spinning source had to be composed of secondary emissions such as "smoke". Yet it was spinning at roughly 700 mph, faster than any tornado. Really? How could such a thing be possible?

Thus, if you look at any previous video of a "failed missle", you never see the emitted smoke moving really fast, especially in an 18-ring sprial! Always it disperses into some sort of stationary cloud, as shown in a link to other missle tests given above.

In summary, we were lied to, and it wasn't a "failed Russian missle". Yet it was clearly a well-target projectile of some kind, not apparently of Russian origin. I do not claim to know who made it, or why they sent it up.

 

This is how it is possible..

"Hence the big cloud which surrounded that constantly-spinning source had to be composed of secondary emissions such as "smoke". Yet it was spinning at roughly 700 mph, faster than any tornado. Really? How could such a thing be possible?"

At least one way. The spiral shape that the cloud assumed is composed of particles of of "smoke". Each particle of smoke has its own path, starting at the center of the circle, and moving in a straight line directly away from the center. The particles are released by a rotating source in the center, and once a particle is released, it continues to move along the line I described.

In actuality, no particles are moving circumferentially, at 700 mph, as you assert. They are moving radially, from center to outside. The cloud is not spinning at 700 mph.

I can imagine how disappointing it must be to listen to someone asserting that your numinous and wonderful cloud is the by-product of a malfunctioning delivery system for an obscene weapon, launched as a geopolitical message on the eve of a peace prize. I won't trouble this discussion again with an "explanation".

We do agree on one thing, though. It was a warning to Obama.

Sleep easy. Happy New Year!

 

Please look at the video evidence!

Yes, various interpretations are possible, but if you look closely at the video evidence, anyone can see that the "smoke" part of that spiral is not gradually moving outward per se, as would be expected for a "missle exhuast", but rather is rotating by about one turn per second in a tight, well-defined spiral:

www.youtube.com/watch?v=PrNh8b_0elw&feature=related

So that is why Arash Amini wrote his brief analysis, and we are grateful to Amy Baczkowski, David Wilcox and others for bringing his insightful work to our attention.

I can understand why such observations would upset many people, including Seachanged for example, because of what psychologists call "cognitive dissonance". You look at the King of Hearts in a card deck, and it is black rather than red!

That makes you feel uncomfortable. Everyone feels most comfortable when they can relate new things to old well-understood things that they already understand. Yet as Arash writes, based on physical logic, that does not seem to be what is happening here.

What about...

Why is no one mentioning the glowing blue beam that came from the center of the spiral? That seems much less plausible to be explained by a failed rocket launch.

RhythmSpring, Click this link

      Although I don’t buy everything being sold by Hoagland and his Enterprise Mission, the following link (also posted above by Gryphon) attempts to explain what might have caused the Norway Spiral. http://www.enterprisemission.com/Norway-Message.htm

      Thanks Arash, for your convincing position, and for visiting RS to keep us up to date!

It's a Flying Saucer !

Evidently.

mumbo-mathbo-jumbo

Bunkbuster Emeritus -- www.jamesoberg.com

Posted on Above Top Secret -- co-posted here for good manners:

Hoagland had one question we've now (at ats) found the answer to -- why the spiral was only observed in the NW Norway (Tromso region) area. Weather satellite images show clearly that the rest of the region was overcast that morning, and as you move eastwards, you move into sunrise and bright skies that would mask any such visual cues. But I'm still curious about what aircraft pilots or passengers in NW Russia and Finland might have been able to see.

I was always reluctant to connect the spiral's formation to the official claim of the third stage malfunction, since spirals have been reported and drawn by witnesses in the past (hand-held camcorders weren't all that common in the 1980s, you have to admit). So I suggested that the spiral was a 'feature', not a 'bug', of some missile operation [I do not dispute the claim the third stage failed, just that the failure was the instigator of the spiral formation].

Discussion at an arms control wonk website suggests that for solid fuel rockets, which cannot be shut off in flight, excess thrust can be 'dumped' through opening side ports along the stage and thrusting sideways. Rolling the stage evens out any course disturbances. A spiral, even a double spiral (when there are two opposite-facing thrust dump ports), is the result under rare solar illumination conditions.

Was this launch a candidate for 'thrust dumping'? Yes, since if you measure the programmed range from launch to Kamchatka, you see it is a LOT shorter than the claimed maximum range. The solid-fuel rocket stages have a pre-loaded amount of total thrust due to their construction, and for shorter-than-maximum test missions, some of that thrust has to be dumped at the end of ascent.

This inquiry continues -- but underscores a point I've stressed for years, that 'UFO reports' from the USSR and neighboring countries have contained highly-sensitive performance clues to their space and missile weapons system performance and test results. Of course the CIA had BETTER be interested in such reports -- since the 'UFO' identification is a camouflage for technical intelligence data on Soviet (and now Russian) nuclear weapons.

As for Amini's math, it still is pathetic (I majored in math in undergraduate and graduate studies, so my eyes don't 'glaze over' with shock and awe when somebody's pulling a snow job), and he needs a long heart-to-heart with his college career counselor if the report is typical of his physics capabilities.

then what was it?

First thing I wish to mention, is that in scientific terms i am a layman. I am not a scientist , but have however seen the footage and read the responses here and elsewhere. The thing is, I would llike to know , why the Russians would be testing so called weapons of mass destruction albiet minus warheads over neighbouring states? and again when the American head of state was visiting a nearby nation!. Another thing... Again forgive my lack of scientific knowledge .. but if the thing was indeed a rocket that had failed, why did it not visibly burn up once gravity had reclaimed it?. Enough people watched it 'during its spin' and would have been watching for a while after. Or is it possible that this was either an astronomical event, or the testing of some kind of high altitude test aircraft. It just seems given the Russian preference like anyone on the planet to have good PR to admit such a failure of a high profile defence system, and in light of the so called western defence then to keep quiet and deny all knowledge might have been a better idea!.

thanks for specific issues

Bunkbuster Emeritus -- www.jamesoberg.com

Mehere, thanks for your comment focusing on specific aspects of this undeniably extraordinary set of videos. Getting specific, as you did, is a constructive way to identify the origin of differing interpretations.

"The thing is, I would llike to know , why the Russians would be testing so called weapons of mass destruction albiet minus warheads over neighbouring states?"

A common question -- based on a common misperception. Seeing the spiral in the direction of the Norway mountains leads one to assume it is directly over the mountains (as a cloud, seen there, would be -- that's what our normal perception has trained us to interpret), when actually it is far BEYOND the mountains and high over the White Sea. The Hoagland analysis linked by several helpful posters, above, demonstrates this actual geometry.

"...when the American head of state was visiting a nearby nation!." Actually, of course, it wasn't simo, but still, it was close in time. But Russia has been testing Bulava missiles for several years now, at random times of the year, and had pre-announced the general time and location of this launch too -- and with enough 'trials', coincidences happen that can be over-interpreted.

"...but if the thing was indeed a rocket that had failed, why did it not visibly burn up once gravity had reclaimed it?. Enough people watched it 'during its spin' and would have been watching for a while after."

A rocket on such an intercontinental flight path -- a trajectory -- would, after the initial rocket firing lasting 4 or 5 minutes, fall through space under gravity's attraction but remain in flight beyond the atmosphere for ten or fifteen minutes, far longer than the period observed.

But you bring up the important point that an analyst should try to determine the time line of the observed events, then compare them to the official flight plan of the missile -- something i'm still working on but am open to assistence with.

Satellites slipping back into the atmosphere do indeed burn up, often spectacularly, and from time to time sparking UFO reports from startled ground (and air) witnesses who underestimate the range and speed, get confused over the directions and paths, and add in coincidental environmental occurrences to weave an often perplexing and exciting UFO report. There are numerous examples of this in the literature.

"Or is it possible that this was either an astronomical event, or the testing of some kind of high altitude test aircraft."

Keeping all possibilities open early on, rather than jumping to a favorite must-have-been, is a sine qua non of responsible and productive investigation. That's why imaginative options such as yours are helpful -- they help define the questions needed to differentiate between potential options once enough data is gathered and verified.

"It just seems given the Russian preference like anyone on the planet to have good PR to admit such a failure of a high profile defence system, and in light of the so called western defence then to keep quiet and deny all knowledge might have been a better idea!."

The Russian politics of the Bulava missile program are Byzantine, worthy of the Kremlin. Hard-line communist opponents of Putin accuse his government, not without some justification, of allowing the defense industry to decay, leading to a string of such missile failures. Nobody in Moscow any longer has the power to keep the lid on such events, especially when seen my thousands of witnesses.

It's like the famous Soviet 'UFO flaps' in the 1960s and 1970s, caused by top secret Soviet military space and missile activities but allowed by the government to be 'interpreted' as UFOs to camouflage them. Most spectacular Soviet-era UFO stories fall into this category, and the delicious irony is that Western ufologists who continue to insist such stories are 'true UFOs' are the last agents of the long-dead Soviet coverup campaign to divert their public from truly understanding what they were seeing.

another question

Hi, I thought I would ask another question probably silly to a scientist, but..

I Looked at some more of the images of the so caled spiral rocket and would like to know, if the rocket was spinning around on the spot out of control and higher up in the atmosphere, how come it was such a 'neat' circle? surley if it was out of control the pattern of light show would be all over the place not a nice neat pattern viewable from many angles.

Also the rocket theory asks people to belive that the rocket flew to its altitude stopped dead spun, used up its fuel and fell quietly back to earth.

What about a sonic boom? and explosion? ok so you wouldnt get those if the thing was at an 'orbital' altitude but the the so called controlled spin we have seen would have been even less even as the rocket thrusting about in zero g would have had a crazy orbit, a danger to other orbital craft.

One other thing , was it seen in sweeden perhpas? (over the border), or out in the faroe islands or shetland. Surley if it was that high up it would have been visible elsewhere? why norway? 

What was heard?

Realizing of course that distance would be a factor in the answer to this question, I do, however, wonder did anyone, anywhere hear anything when this occurred? And if so, what did it sound like? Perhaps I've missed it, but I've yet to read any reporting about the sound it made, if any.

Mambo-mathbo-JimO

Jimmy, Firstly, i would say, that it is very kind of you to lower yourself to us mere mortals in this debate and encouraging to hear that you find some place for us "to widen the spectrum" or "define the questions" or whatever it is you have so graciously given us as a role for. By about now you probably noticed, that I am for one completely unmoved by you being an over-under-sideways graduate, specially if you wind up with your condescending letter. In fact I personaly find it funny, that you would join this forum, after all it seems needless for you to bath in selfimportance. Forgive my scepticism but it smells like a heavy gun was hired to put an end to the debate by highjacking it with overqualified credentials. You are a bit too close to the fire Jimmy to make comments. What's next, the Head of the Russian Missile Program will join the party? I reckon you should have just stayed on the side line and let us speculate about things cause that is mainly the nature of this website. As far as some of your points go, you claim, that the timing of the event was over-interpreted, because of the random and frequent launches from the Russians. So you suggesting that the Russians will risk one of these -according to you- often failing launches by timing it one day before Obamas speech? Are you for real? What, they didn't know that there is a conference in Oslo that the entire planet is wacthing with eagle eyes. That is a ridiculous explonation that flies straight into the face of common sense. If that is a coincidense for you then everything is. Furthermore I love how you solved single handedly why the phenomenon was invisible from the other surrounding countries. It was because of the wheather. Mmmm, that's right it was the clouds, well, nobody thought of that... i actually guessed fogged up sunglasses. For why the Russians admited it, you pretty much responnded by the suggesting, that there is a total chaos in Moscow and things are getting out of hand and control all the time, per se everybody can claim whatever they want even if it is in relation to their top secret missile program with the highest expectation. Again Mmmm. Ok, so Ufo-s are cmouflage for technical intelligence and then i suppose crop circles are hastily harvested marihuana plantations, ghosts are Russian spies in blankets and ET is the neighbour's kid in Halloween costume. Ain't that a man... And as far as Amani's work goes, why don't you just outrigth call his boss and get him kicked out, because who is he to even engage in the big boys game. After all you have invented mathematics. Well, i bet a 1000 bucks that we would find a mathematician who would back Amini's math.

I wouldnt doubt that the

I wouldnt doubt that the government has the ability to create something like this. Maybe they just wanna distract all us wishy washy new agey types (me included)??? Just a thought. I hope it was something mysticle but i also know that the big boys like to screw with our heads.

 

 

I hope that you can find your balance between the mystic and mundane,
I hope that you can navigate your way between the sacred and profane.

Black holes and revelations

Ive always had this in the back of my mind. What if the transcendental event that will be is actually a black hole finally sucking up our lonely planet? If there really is a black hole in the center of every galaxy and if the black hole is actually the biggest gravity sucker there is, then everything is bound to get sucked in there eventually. Unless maybe we can multiply fast enough to escape the gravitational pull of the black hole. Ah, how would it feel to get sucked into a black hole? I am sure it would look cool :) Forgive my non-sense.

 

By the way, does anyone here think there might be a connection between these spirals and crop circles?

Hoagland

At least Hoagland addressed those photos where there is a trail on the horizon that does look a lot like rocket trails. I entertain the wacky hypothesis that the Russians did fire a missile, and the ET overlords showed 'em who's the boss. So they shot a mini black hole which sucked up the missile into oblivion. There, case solved!

don't be hearded..

After I learned about the spiral I wanted to see what the ol corporate media had to say about it because I just knew they would have something ready to try and debunk the hysteria. CNN had a slide with twelve pictures of the event, next to almost every picture there was a caption that mentioned the words "Rocket, missile failure" or something similar.. It amazes me that people so easily believe the "official story". If this was a rocket failure I'd like to see it recreated. If humans can create a magnificent spiral like that i'd like to see it, and I don't think its too much to ask. If this is HAARP or anyone else experimenting with holographic type technologies then you'd have to imagine the media would be the first tool they'd use to keep it secret. I don't know if it was aliens or humans, but I don't believe it was a rocket & I have a feeling if humans did attempt to recreate this event it would look rather shoddy like the only crop circles humans can truthfully take credit for.

What else could it be other

Good one!