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Could life on earth survive a large pole shift caused by an asteroid collision?

I became aware that there are people who believe that the earth's pole suddenly shifts. That is, its rotational axis changes rather than its magnetic axis. This is listed in wikipedia as follows:

Cataclysmic pole shift hypothesis The cataclysmic pole shift hypothesis is the conjecture that there have been rapid shifts in the relative positions of the modern-day geographic locations of the poles and the axis of rotation of a planet. For the Earth, such a dynamic change could create calamities such as floods and tectonic events.
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The field has attracted pseudoscientific authors offering a variety of evidence, including psychic readings.
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http://en.wikipedia.org/wiki/Cataclysmic_pole_shift_hypothesis

While watching a chess game at the local club a fellow member told me that he'd found the solution for where oil came from. It was long and involved. One of its features required that the earth's axis be changed by 90 degrees due to the collision of an asteroid a few million years ago. The idea was that the earth's axis used to be in the plane of the earth's orbit, but then it was knocked into its current rotation axis tilt of around 23 degrees. This changed the climate and buried a lot of stuff.

The axis shift seemed to be an obvious weak link with the theory in that it involves the simplest physics. I told him that any asteroid large enough to change the earth's axis an appreciable amount (i.e. 70 degrees!) would cause so much damage as to destroy all life on the surface of the planet including its oceans. I'd have forgotten about it, but the other night, while listening to the radio, a guest appeared who had an idea that was similar. So this seems like a common target for pseudoscience.

And so my question is this: Would an asteroid collision sufficient to immediately change the earth's rotation axis wipe out all life on the planet?

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Some people have evidently never played with a gyroscope or tried to turn a spinning bicycle wheel out of plane with their hands. What mechanism is proposed to damp the ferocious precession that would be the inevitable aftermath of twisting the axis around like that? Bah! Humbug! –  dmckee Feb 1 '11 at 1:24
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What sort of asteroid could knock Earth's axis off by 70 degrees without ripping the planet to shreds, for that matter!? –  Noldorin Feb 1 '11 at 2:35
    
@Noldorin: Yeah. I started trying to estimate the energies involved, but floundered when I realized there was no impulse-like way to get from there to here. –  dmckee Feb 1 '11 at 2:56
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Some very simple calculation would answer this question. –  Georg Feb 1 '11 at 10:34
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Two votes to close because it (a) has nothing to do with physics, and (b) does not have a solution. However, I've provided a physics calculation as a solution so these objections are misplaced. –  Carl Brannen Feb 3 '11 at 3:08
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Quite clearly this man’s theory is balderdash. A massive collision could change the tilt of the Earth’s axis, but that would be one hell of a torque. The collision would not be with an asteroid either, but with another planet that might be as big as Mars. Clearly nothing like this happened in recent geological history, though the Earth did suffer a collision of this magnitude a few 100 million years after gravitational accretion. A chunk from the collision spalled off to form the moon. This other planet probably was in some resonance condition around a Lagrange point.

This would be a devastating collision, which would doubtless change this planet into something else. The solar system has not experienced such collsions since its early evolution. The solar system is now staid and respectable. Velikovskian things just do not happen.

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I fully agree. If you could simply change the rotational axis via magic (with actual physics you gotta find a source of a huge amount of torque), there would be major climate change, and seas would shift around by thousands of feet, so it would be pretty tramatic, but the new earth should still support life. The real issue is that any concievable hit of that magnitude would be catastropic for nearly all life. [It is possible that simple bacteria living a couple of kilometers undergroud would outlive the heat spike (the surface would be a lava lake for years).] –  Omega Centauri Feb 1 '11 at 5:09
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Let's begin by choosing coordinates. Let the orbit of the earth define the x-y plane. Assume that just before the collision the earth's orbital axis is pointing in the x-direction, that is $(1,0,0)$. I'll assume that the earth absorbs the asteroid, and that after the collision the axis has been changed to $(\sin(27),0,\cos(27))$ where 27 is the degree measure of the earth's axis currently. So the relative change in angular momentum for the earth is
$(1,0,0) - (\sin(27),0,\cos(27)) = (0.55,0,-.89)$
which is a vector of length 1.05 and so the angular momentum of the asteroid has to be 1.05 times the angular momentum of the earth.

Make the approximation that the earth is a sphere of constant density. Then its angular momentum is given by $0.4 M_e\omega\;R_e^2$ where $M_e,R_e$ are the mass and radius of the earth and $\omega$ is its angular rate of rotation. We have
$M_e = 6\times 10^{24}\;kg\;\;\;R_e = 6.4\times 10^6\;m,\;\;\;\omega = 2\pi/(24\;hours) = 2\pi/ (86400\;sec)$.
I'm using sloppy approximations here; the earth is not constant density, I'm not using the sidereal day, etc. This gives $7\times 10^{33}\;kg\;m^2/s$ as the approximate angular momentum contributed by the asteroid.

The formula for angular momentum is mass x velocity x radius. This is maximum when the radius is maximum; for an asteroid hitting the earth this happens when the radius is equal to the earth's radius, i.e. $ 6.4\times 10^6\;m$. Dividing the asteroid's angular momentum by this give its linear momentum:
$P_a = 7\times 10^{33} / 6.4\times 10^6 = 10^{27}\;kg\;m/s$

The reason a relatively small asteroid can wipe out all life on earth is due to the kinetic energy it carries. Upon collision, the kinetic energy is converted to heat. If the asteroid is large and fast enough, the heat will increase the temperature of the atmosphere enough to boil off the oceans and even vaporize the salt deposits left over.

Since kinetic energy is proportional to the square of velocity while momentum is only proportional to velocity, we will assume that our asteroid is moving as slowly as possible. The escape velocity of the earth is 11 km per second; to achieve a slower velocity an asteroid would have to be very lucky. So in calculating the kinetic energy of the asteroid, we'll assume a very conservative speed of 5 km/sec.

Putting $10^{27} = 5000 m$ we find the mass of the asteroid as $2\times 10^{23}$ kilograms. Assuming a specific density of 5, or 5000 kg per cubic meter, this gives a radius for the asteroid of 2000 kilometers or a diameter of 5000 km. This is far more than enough to destroy all life on the planet.

The asteroid's kinetic energy is
$0.5\times 2\times 10^{23}\times (5000)^2 = 2.5\times 10^{30}$ Joules
$= 6\times 10^{14}$ megatons.

In other words, the collision would result in the release of kinetic energy equal to 600 million million hydrogen bombs going off, each with an equivalent energy of one million tons of high explosives. The earth's surface area is 500 million square kilometers or 500 million million square meters. So the energy release is equivalent to having a 1 megaton bomb going off on each square meter of the earth's surface. And since the vaporized rock from the blast is lighter than rock, this vapor will condense on the surface and apply its heat to the surface.

For a video of a 500 km asteroid hitting the earth (1/1000 of the volume necessary to change the earth's axis) see:
http://www.youtube.com/watch?v=vZiZU42sn6w

Video frame

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I like the Pink Floyd on that. My only question I have is about the claim of 6 impacts of this scale. A few might have happended during the Hadian period, during the first few hundred million years of the Earth. The extinction impacts were with 5km asteroids. –  Lawrence B. Crowell Feb 2 '11 at 3:14
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Even more than the collision, you'd be hard pressed to explain why the Earth's axis would lie in the orbital plane in the first place. The "default" inclination for the major planets in the solar system is close to perpendicular to the orbital plane (well understood since the Laplace theory of planet formation, with some caveats), and inclinations as large as that of Uranus and Venus required very major collisions.

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protected by Qmechanic May 19 '13 at 12:13

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