Hypothetical doomsday scenario (pic)

tori

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I'm working on a shortish story set couple hundred years in the future, stumbling from one dead end to another since every scifi aspect must check out, and at one point there's a global catastrophe that I'd like to submit to you guys for critical analysis :-]

Story background
There's a planet central to the story arc. Mostly desert, with minimal polar ice caps, but large oceans in the equatorial area, with oases of water scattered further away. Every water body is surrounded by vegetation, and major urban centers are next to water as well. Only very few cities are inland.

One day a particularly sinister group of Rubber Forehead Aliens calling themselves "Nexus" decides it's about time to put an end to this human paradise, however since their military assets are preoccupied at the time they are forced to improvise. They mass up a huge fleet of automatic mining ships, high-impulse tugs and other industrial hardware and set off to the star system that our little planet resides in. They need to perform this in secrecy, without major military movement, so that other factions remain oblivious of their actions and their military assets remain free for defensive operations.

They begin what seems to be a harmless mining operation on a large asteroid body (inclined well over 50° from the ecliptic), while in fact they're merely disassembling the rock into smaller pieces. Using mass drivers they create an elongated cloud of space dust several thousand kilometers in diameter and about 2 million km long. Using an elaborate array of solar sails and gravity attractors they slowly bring this huge cloud closer and closer to the orbit of our planet.

Centuries pass, the indigenous civilization evolves from a steam-era society into a global space-faring one. Lunar colonies, space ports, near-space infrastructure and so on. A dim noodle of light in the night sky has its own traditional cult following, with annual celebrations and rituals.

The cloud is ultimately detected when only few days remain until the collision. No local spacecraft is capable of sustained observation since the delta-v is decades from their propulsive capabilities. Beautiful and intensive show of light is predicted by science and indeed, when the first particles contact the atmosphere this prediction is fulfilled. However only minutes later the intensity increases, turning twilight into full noon, increasing the temperature to that of a hot summer. Several minutes pass when forests together with buildings ignite. All the kinetic energy of a major asteroid is being slowly, relentlessly and efficiently converted into pure heat. Metal parts of structures begin to melt. The ground itself starts glowing with heat. As the planet rotates, a wide belt of total annihilation is burned around the equator. All major cities are almost completely obliterated, together with the proud people who built them.

A series of storms of incredible power sweep the surface. Most of the human civilization now resides on the two moons, only thousands are alive planetside. Out of billions.

Months later the planet, barren and devoid of higher life, cools down. Nexus colony ships are expected to arrive soon. They never come.

Physics
Assume there's an asteroid body that's just right. Density 3000 kg/m³, diameter 30 km, with an inclination high enough to produce a terminal impact velocity of 22 km/s. This works out to an energy of about 2.5 billion megatons of TNT, which spread out over one planetary rotation gives over 118 EW of destructive power. That's more than 28,000 Mt/s in TNT equivalent, or even better - about 567 Tsar bombs per second. In order to make the cloud the Nexus would have to dispatch 100,000 heavy mining units, each able to extract a 40cm chunk of the asteroid in roughly two seconds. It would take a generation short of 300 years to finish the process.

My question is... do you find this plausible? What defenses would you consider against this form of threat, assuming you had 1, 10 or 100 years notice? Would the effects of the impact resemble my description and rendering?

Thanks :-)

e5INh.jpg
 
The damage would be pretty tiny, since the chunk density would be pretty low, also the energy would be lost in the atmosphere.


Atmospheric Entry:

The projectile begins to breakup at an altitude of 58000 meters = 190000 ft
The projectile bursts into a cloud of fragments at an altitude of 55900 meters = 183000 ft
The residual velocity of the projectile fragments after the burst is 20.3 km/s = 12.6 miles/s


The energy of the airburst is 1.59 GJ = 380 kg TNT.

No crater is formed, although large fragments may strike the surface.

Next, your cloud is too small: I just calculated, you would have 211 million 40 cm chunks per kilometer. This is not really realistic, also you should include that over 300 years, unless you tie the chunks together by nylon tethers, the cloud will spread out into a new asteroid belt. You would eventually have one such chuck every few million kilometers.

Also, if you can see the cloud by the naked eye or by telescope, you also know its orbital parameters. You would have a pretty accurate diagram that describes the orbits of every chunk in the cloud, radar measurements would even tell you accurately, how big the average chunk in the cloud is (if radar wavelength = chunk diameter, you have a resonance, the same also happens with Earth, for very long wavelengths)

(And if you have a spacecraft there acting as gravity tug, it would shine on radar as single strange reflection)
 
Well - if humans on this planets are few centuries before space era (in the beggining of a story) why bother yourself with all this work - just leave 10 space tugs and place 10 "dinosaur killer" size asteroid on collision course with this planet. Make calculations that way that they all hit in one moment (or in the short periods of time - few hours) - and all civilization is wiped out with much less effort.
 
Well, for starters, if you want to anihillate a civilisation, there are far easier ways to do it. You're better off just hurling the 30 km rock at the planet, it will be quite a large impact, undoubtedly causing a mass extinction and if not making the sapient species extinct outright, putting them on the very brink of extinction.

In addition, it will be far easier to control than such a ring of debris over a period of hundreds of years. Rock fragments will begin to spread apart due to reasons ranging from tidal forces to solar radiation pressure.

If you had 100 years notice already, and complete certainty that the ring will intersect your path (and hit you- presumably you are not stupid enough to deny that it will if data supports such an eventuality, or to ignore such data), then you could probably protect against something of this magnitude. At that scale you could start to build even the extensive countermeasures needed to protect against an impact event.

And if you had technology similar to our own, you would already be able to detect artificial structures (the mining machines) in the ring, and realise something was fishy. Theories of the artificial nature of the ring would probably even predate that.

If you could estimate the mass of the ring, the average size of the particles, etc, you would probably be able to tell how severe the impact would be.

In short, out of all the methods I could suggest for planetary destruction, this is unfortunately not a very good one.
 
Well, it all depends on the rate of heat generation combined with the impact on the heat flux balance... Here's a couple of variable to take into account:

- Heat generated by the particles impacting the upper atmosphere
- Heat radiation dynamics: ie how much heat from the initial vaporization is radiated back to space; how much heat is absorbed by the thin upper atmosphere molecules on contact; how much is transmitted directly to the ground as electromagnetic radiation (dependent on the atmosphere's absorption bands)
- How does the rest of the surface react to this additional heat flux (surface albedo of oceans, ground; thermal inertia (heat capacity, in the range of a few MJ/m^3 K)
- And finally, how does the high altitude dust cloud affect the radiative balance of the planet. Does it block infrared light (long-wave radiation) or visible light (short-wave radiation)... If it blocks visible light more than infrared light, it could result in a -global cooling- because the heat flux from the star is probably a lot more than what does small micrometeroids are punching on the dawn/night side.

And to blast a hole in your story's premise, if your civilization is advanced enough to have space ports and colonies on it's moons, it sure as hell would have detected the HUGE infrared signature of the dust cloud... Heck, we can spot dust clouds around other distant stars, so it's safe to assume they would have spotted it. Sorry it just doesn't fly.
 
Thanks for the time!

The damage would be pretty tiny, since the chunk density would be pretty low, also the energy would be lost in the atmosphere.

Lost to where? If it were all radiated away almost half of that radiation would hit the planetary surface, which would accept most of it (heat re-radiation at "room" temperatures doesn't work very well and Earth's emissivity doesn't help either). So unless I'm missing something there's give or take 1/3 energy transfer efficiency here.

Next, your cloud is too small: I just calculated, you would have 211 million 40 cm chunks per kilometer.
I'm not sure what that means. Are you referring to particle density? Assuming the cloud is 5000 km wide and 2M km long, and there's 422e12 particles to work with (volume of a 30km sphere divided by that of a 40 cm sphere), I end up with 100 particles per 9.31 km³, or mean distance between particles of about 450 meters. Projected onto the ground (equatorial belt 5000 km wide on an Earth-like planet) that's about 2 particles per square meter.

(...) the cloud will spread out into a new asteroid belt. You would eventually have one such chuck every few million kilometers.
Agreed. Willing to handwave that away. The Nexus has some pretty sick ore transportation technology that involves mass drivers to launch chunks and gravity tractor vessels that marshal swarms of small rocks into tight neat streams... y'know? :shifty:

Also, if you can see the cloud by the naked eye or by telescope, you also know its orbital parameters. You would have a pretty accurate diagram that describes the orbits of every chunk in the cloud, radar measurements would even tell you accurately, how big the average chunk in the cloud is (if radar wavelength = chunk diameter, you have a resonance, the same also happens with Earth, for very long wavelengths)

(And if you have a spacecraft there acting as gravity tug, it would shine on radar as single strange reflection)
Definitely. That part will need some work. Thanks for pointing it out.

----
As to why go through so much trouble - story thing. Because they wanted to. They're evil. (I thought this way it won't damage the surface as much, the math showed the planet would be habitable a year after. Plus I really really wanted to.)

Cairan: I was working with a simplified TD model that essentially predicted localized hell of ~1000 °C (the equator) followed by a pretty fast (months) cooldown (the impact winter you speak of). It assumed a 50/50 distribution between land (1 kJ/kgK) and water (4.18 kJ/kgK) and worked with 25 meters of depth (linear temperature gradient).
 
It seems a bit of overkill when the highest tech among the inhabitants is steam power when you start out. If the highest tech is steam power, only parts of the planet are likely to have access to even that technology, and the dominant powers on the planet are likely to have only recently mapped the entire surface, if they even have yet. This, combined with the fact that you have specified that a large part of the planet is barren, means that the aliens would simply be able to set down in an unpopulated or sparsely populated region unclaimed by any group with any significant ability to resist. Their technology would allow them to maintain a higher growth rate than the natives, and eventually their population would be higher than the native population, at which point the planet is effectively theirs.
 
Lost to where? If it were all radiated away almost half of that radiation would hit the planetary surface, which would accept most of it (heat re-radiation at "room" temperatures doesn't work very well and Earth's emissivity doesn't help either). So unless I'm missing something there's give or take 1/3 energy transfer efficiency here.

Most of the radiation does not reach ground, it just is lost in the ionized air. Plasma is opaque for electromagnetic radiation - that is why you can see it.

so, the energy that is directed towards Earth will end in heating the atmosphere (which can be a problem with asteroid fragments), and mechanic shock waves.

I'm not sure what that means. Are you referring to particle density? Assuming the cloud is 5000 km wide and 2M km long, and there's 422e12 particles to work with (volume of a 30km sphere divided by that of a 40 cm sphere), I end up with 100 particles per 9.31 km³, or mean distance between particles of about 450 meters. Projected onto the ground (equatorial belt 5000 km wide on an Earth-like planet) that's about 2 particles per square meter.

[math]\frac{15000^3}{0.2^3} = 4.21875 \cdot 10^{14}[/math]

100 times more than what you calculated, you likely had a unit mismatch.

Also you have much more particles per kilometer of length of the cloud:

[math]\frac{4.21875 \cdot 10^{14}}{2.0 \cdot 10^6}= 210.9375 \cdot 10^6[/math]

I don't know how you want to control a 5000 km wide cloud by gravity tractors and mirrors... would be more than just a engineering problem.

Next, remember that Earth is moving: A 5000 km wide cloud only means that Earth needs 168 seconds for passing it - which means if you want to let all particles hit Earth on the first pass, your cloud can maximal be 6115 km long.

Finally, if you can prepare such asteroid mining, you can have also other ways to cause damage, which you prepared long before you need it in prophylaxis:


  • Turn the asteroid into a belt of usable chunks and fed them into a two-way mass accelerator. Both chunks are send on the same orbit, but in opposing directions, conserving impulse of the mass accelerator. Orbit parameters are planned so, that both fragments hit the planet at different times, or at least one hits the planet and the other is just used for compensation and later collateral damage.
  • Put the mass accelerator on the asteroid, and simply consume the asteroid while using the heavy mass of the asteroid reduces the change in velocity.
  • Dig strong nuclear bombs (fusion, fission, antimatter, Q-Ball implosion) deep into the planet, so deep that a later spacefaring society could not be aware of all such bombs. If there is trouble, explode them to scatter the crust of the planet and cause a planet wide volcanic eruption.
 
Most of the radiation does not reach ground, it just is lost in the ionized air.

How does one "lose" energy? You mean that there's two million Hiroshimas worth of energy being dumped into the upper atmosphere every second and it is somehow absorbed by a few teratons of air below it and never re-radiated to the ground?

Assuming mere 20% of the kinetic energy is directed to the atmosphere (the rest never hits the planet), and assuming the planet is Earth like (atmosphere mass 5e18 kg, c = 1 kJ/kgK), and assuming the target area is a circle 2.5e6 m in radius, there's about 1/26 of the atmosphere being immediately affected. At 24 EW input power (20% of 118 EW) that's one kelvin in 8 seconds (at blackbody emissivity, i.e. the worst case scenario). If the atmosphere is transparent to heat radiation (low emissivity) the ground gets hit and heated directly, if it's opaque (high emissivity) it absorbs the heat and becomes a secondary radiator that slowly cooks the ground.

100 times more than what you calculated, you likely had a unit mismatch.

[math]422 \cdot 10^{12} \approx 4.21875 \cdot 10^{14}[/math]

I don't know how you want to control a 5000 km wide cloud by gravity tractors and mirrors... would be more than just a engineering problem.
Magic. :)

Next, remember that Earth is moving: A 5000 km wide cloud only means that Earth needs 168 seconds for passing it - which means if you want to let all particles hit Earth on the first pass, your cloud can maximal be 6115 km long.

All particles of the cloud lie approximately within the trajectory of the planet, i.e. the cloud is hitting the planet frontally (against the prograde vector) and not from the side.

Thanks for the list, some interesting ideas are in there :-)

I know there are much, much easier ways to wipe out a civilization, but then there's the Rule of Cool. This weapon is used on multiple occasions, the one described here is a sort of a safe test on a defenseless planet and that's why it looks like (and is) an overkill.
 
All particles of the cloud lie approximately within the trajectory of the planet, i.e. the cloud is hitting the planet frontally (against the prograde vector) and not from the side.

Only works for the same short period of time, if you want to have 22 km/s relative velocity at impact. Earth travels such 2 million kilometers in just 19 hours. You can now put all mass on slightly different trajectories to hit Earth frontally at maximal relative velocity in these 19 hours.

That means: maximal 61 billion such chunks per second are possible to hit Earth in these 19 hours. Earth doesn't even do a full rotation, so only about 2/3 of Earths atmosphere is directly affected.

Makes 9682 PW in total (every second) for the whole Earth, but only 246.6 kW/m² flux in the affected 5000 km circle. If all such energy would be turned into heating, the upper atmosphere would get maximal 3.6 times hotter before reaching equilibrium. 733°C.

Now, the question is: How will the energy be transferred - most energy will actually go away into inflating the exosphere, including the solar wind blowing a tiny fraction away (like it always does). Only a very tiny fraction could maximal reach the troposphere and cause heating on the surface of Earth.
 
Why wouldn't an advanced spacefaring civilisation be able to detect a million-kilometre-long swarm of meteoroids, except for cultists? If they operate throughout cislunar space, certainly they must have mapped the features of their solar system decades ago, and sent probes all over it. And certainly something noticed the comparatively huge amount of radiation coming from the 100 000 heavy miners all massed on one celestial body. That would certainly have warranted an interplanetary probe to that asteroid long ago.
 
We still appear to be out of sync on the orbital scenario. Here's how I simulated the 24-hour collision in Orbiter: imagine the Earth's orbit. Incline it 21° and place an object on it with its true anomaly so that it would intersect with Earth later. Place another object inclined 1.9 arc-minutes away, same offset for true anomaly, and so on, until you have a string of 24 objects. It will be 2G long and almost linear just before the collision. Approach velocity is slightly over 10 km/s outside of Earth's SOI, close to 22 km/s on entry. First object enters at T, last at roughly T+24 h.

How did you calculate the 9682 PW? From your earlier figures (1.59 GJ per airburst and 61e9 chunks/s) I got 96.99 EW (10x as much).

How did you calculate the equilibrium? My figure (1000 °C give or take) is (despite our input data being an order of magnitude different) reasonably similar to your 733 °C.

Atmospheric inflation was modeled using an isobaric iterative function peaking at 6 times the original volume before (radiative) TD equilibrium was reached (about 12 minutes into the process). Emissivity of the atmosphere/plasma was set at 0.4 (is this correct?), with over half the original radiation (energy) reaching the ground directly.
 
IMHO it would be more effective to break the 30 km asteorid into several thousand fragments few hundred meters in size and then carpet bomb every population center on the planet with them. It would be pretty spectacular too.
Or if the aliens want to just get rid of unwanted natives while preserving the biosphere they could raid some remote willage kidnap several specimens and use them as guinea-pigs to develop highly effective pathogen to unleash against them. Imagine something as lethal as Ebola virus that is air transmitable spread over every major population center. Good by civilization
 
Man, this really doesn't add-up... You'd have to run a complete simulation of your scenario for it to be even slightly accurate... Here's the play-by-play I'm taking sometime to come up with:

1) Your asteroid, instead of being hurled into separate chunks for 300 years could simply be reduced to a pile of loose dust with a nuclear device in the middle. I'd go with nanotech, with tiny robots replicating using the asteroid material to turn it to dust at the surface and being programmed to respond to commands from the "control and destroy" device implanted at the core of the asteroid. The nano-bots would be equiped with a binary "reflective" vs "absorbant" property, which could be controlled by the command device at the asteroid core to adjust the trajectory using the solar wind and turning the surface nanobots "dark" or "shinny" in the appropriate surface zone so that the thrust vector is correct to aim the asteroid at the planet.

2) Near the planet, instead of this huge pre-existing swarm of dust trailing in space for hundreds of years, the "strange" asteroid, observed for years to have a variable albedo, but for which all probes have failed to return data (destroyed by the nanobots at the asteroid surface which would target a Ancient Greece Archimede-style "Death Ray" of focused reflected light to any object coming close, this asteroid would suddenly explode a few hours before a "close approach" to the planet. The pile of loose dust created by the nanobots literally eating the asteroid's rocky material and turning it to a pile of sand grains would scatter in such a way that now a serious proportion of dust, instead of passing really close to the planet, would now impact the atmosphere. You time it so that the push given by the core device detonation is timed to result in a 5000 km wide cloud. If your device is offset closer to the surface on one side, you can "shape" the resulting expanding cloud of dust towards the planet.

World News Network Headlines would read:
"2:00 PM Big asteroid to pass close to Garkladuk Planet tonight"
"5:54 PM Huge flash reported in the sky. Details to follow"
"6:21 PM Asteroid 1423GK+1 is no more! Apparent nuclear explosion has pulverised it. Scientists baffled."
"6:29 PM Breaking News: Astronomers from Garluk College have plotted that the dust cloud will enter our atmosphere in less than 3 hours
"7:00 PM Breaking News: President Karlukin to hold a World Address at 7:30 PM" :P

3) Now this is were we diverge... You claim that this torrent of dust entering the atmosphere would spell a catastrophe for the planet. I am going to say here what I believe would happen...

As particles enter the atmosphere, they get vaporised. This vaporisation consumes some of the kinetic energy of the particule, by the specific heat of vaporisation and ionisation, while the atmosphere is also being heated up. Then they'd recombine with each other and with atoms from the ionised atmosphere, leading to a net absobtion of energy from this chemical process. Then half of what heat remains from this particule would be radiated into space, the other half towards lower layers.

We then would have to figure how much of that radiation would pass thru the atmosphere to hit the surface and how much would get absorbed and hence heat-up the atmosphere in the first pass.

However things turn complicated at the surface: a part of the radiation coming from the sky is radiated back to it directly (albedo), ranging from 30% in the deserts to less than 10% for the oceans. Because the ground surface would heat up more rapidly than the oceans, despite the higher albedo, it would result in a large low pressure drawing air from the oceans toward the uninhabited continents. As the oceans would absorb it, they would release moisture, and as the air temperature concurrently rises, it would be able to transport a lot more moisture content.

As this air moves over the inland areas, it would eventually form torrential storms, but more importantly, the rapidly increasing cloud cover, in the span of a few hours at the most, maybe 6 or 8, would drastically increase the tropospheric albedo, effectively isolating the oceans and eventually the continents from direct effects of radiative heat from the sky. At this point, maybe 70 to 90% of the radiative heat that reaches the cloud tops would be reflected back to space.

The elements of the meteoroid dust would alter, with a sufficient concentration, the absorbtion bands of the atmosphere, blocking the escape of heat to space, which would then result in a "ping pong" of some sort between the cloud tops formed by the initial heat flash and the dust cover high in the stratosphere or ionosphere. This could result in a severe temperature inversion, with most of the heat expanding the stratosphere or ionosphere to hundreds of kilometers, while the troposphere could be -relatively- shielded by the clouds.

So instead of a total wipeout, you'd be in for the mother of all hurricane/tropical storm combined with a total loss of radio communications for days or weeks.

As I said, we'd need to run the whole system in a planetary simulator.
 
Hello tori! I am working on a bachelor thesis project in astrophysics at the University of Cork, Ireland. I was searching the web for materials and I noticed this forum - very intriguing! My topic is the aftermath immediately following the Chicxulub impact event, or more specifically the interaction of the resulting ejecta and Earth's atmosphere. The effects of gigatons of fine (submilimeter spherules in the Chicxulub event) hypervelocity material falling into the atmosphere have the effects you describe - igniting forests and the like (2008 Melosh et al. [pdf]).

My research builds up on the linked one, diving into the behavior of the spherule clouds, their distribution and decay. I can assure you that your fictional scenario would very definitely ignite global fires, since both the mass and the kinetic energy are orders of magnitude above the energy of the Chicxulub ejecta (which was enough to spark localized wildfires all over the world, as evidenced by soot layers in the global fossil record). Most of the energy would be radiated away into space either directly (coming from the glowing spherules) or indirectly (by reradiation from heated atmosphere or "cool" spherule clouds). An not insignificant portion would reach into the lower atmosphere and do it's job however.

I'm sending you a PM inquiry regarding that image - I'd like a permission to use it, or portions of it.

A.
 
Yes, the Chicxulub event is what this is based on, including most of the math. Thanks for the links.
 
One must remember the purpose of ETIs...
I find it very problematic for an ETI to hurl an asteroid at a planet it would probably destroy all life on the planet which is not a good idea...
 
This is the right place for constructive criticism.

How short is short? I won't comment on the science, it would seem that has been addressed. But by the time you factor in further plot development, add characters, window dressing on the surface of the various worlds and moons involved; this could quickly scale up into something more involved than a short story. Also, before I write I have to ask myself if the story will appeal to others or am I doing it strictly for my own benefit. Hope that helps rather than discourage.:thumbup:
 
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