The Breakdown
The spin on spin

There are certain movies that wreak such havoc with the laws of the universe as we know them that, despite the risk of irate readers who only want to enjoy the fantasy, and despite the fact that they may not care about accurate science (after all "we all know it's just a movie), we have to deconstruct them anyway as a public service. Now Armageddon (along with The Core and The Day After Tomorrow) forms part of a "trifecta" of bad movie physics, and, although it's not a new release, it epitomizes its genre.

The insidious thing is that each of these end-of-the-world action disaster movies starts with a more-or-less reasonable premise -- in the case of Armageddon a large asteroid is on a collision course with Earth which is of course possible -- and they then proceed to use a lot of realistic-sounding techno-jargon and a sufficient smattering of actual science to fool the unwary viewer into believing that some of the scenarios actually have some connection to reality. Let's take this short scene as a representative example. We'll focus on its "spin" on how to create artificial gravity aboard a space station.

(We won't dwell for now on the why the shuttle's thrusters are engaged as they dock with the space station. It's of course a common misconception that a force is required for an object to stay in motion, when in fact, according to Newton's first and second laws, a net force will cause an object to accelerate in the direction of the force. They should really shut down the thrusters unless they want to smash into the station. Of course the movie adheres admirably to the "thrusters need to be on to maintain motion" scam throughout the movie. Also notice how noisy those thrusters are in the vacuum of space -- the usual stuff!)

But it seems that they may be on to something realistic with the rotating space station. It's true that by rotating a space station you really could create artificial gravity. In order to move into a circular path, a "centripetal force" is necessary to push you into the circle. According to Newton's first law, an object will remain in motion at a constant speed in a straight line in the absence of an external net force. To change that constant-velocity motion, a force is required. To move in a circular path, the force must always be perpendicular to the motion. For example, it is the force of gravity acting as a centripetal force that pulls an orbiting satellite into its circular path.

In the case of a rotating space station, if you stand on the inside of the rotating cylinder, your inertia causes your feet to push into the floor. It is the floor pushing back on your feet that gives the sensation of weight. The centripetal acceleration of a rotating object is given by a = v2/r, where v is the speed of rotation, and r is the distance from the object to the center of the circle of rotation. To create artificial gravity, all you need to do is adjust the rotation rate of your space station so that a = g (the acceleration due to gravity on Earth). It would feel just like you were on terra firma. So far, so good.


Did Armageddon get this one right then? Unfortunately, not really. The problem with the scene is that the radius of the cylinder is way too small. To make artificial gravity work, the space station has to have a radius much larger than the length of a person. Because the acceleration rate depends on distance from the center of rotation, if the circle is too small then the centripetal acceleration of your feet could be significantly different than that at your head. This could be very uncomfortable. In fact, in the scene, it looks like the radius is actually less than the length of a person. This would mean that while your feet may experience an acceleration of g, your chest would be essentially weightless, and your head would have an acceleration in the opposite direction to your feet. You'd feel like you were being pulled apart violently. When the shuttle pilot says they might get nauseous, he isn't kidding!

In fact, just about every scene in Armageddon ranges from scientifically inaccurate to physically absurd. Look for the "highlights" yourself.

Adam Weiner is the author of Don't Try This at Home! The Physics of Hollywood Movies.

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5 Comments

I find it difficult to agree with this analysis of motion. It is necessary for the shuttle to be firing it's thrusters since it's is trying to dock with an arm of a rotating object. The path that it follows is a curve, not a straight line, thus a force needs to be applied to keep it in a curve.

Secondly, notice that most of the modules on that space station is mounted on arms some distance from the center of the rotation. As long as you're not at the center of the space station, it is not that difficult to generate 1 G of centripetal acceleration. Some calculations based on the formula given, and using a space shuttle as an example. The space shuttle is 56 meters long, which would give it a 28 meter radius at tip at tail. To generate 1 G, you would need a tangential velocity of 16.565 m/s. One full arc of a circle with a 28 meter radius is 175.84 meters. Which means it has to rotate about once every 10.6 seconds. Also, notice that most of the modules on that space station is mounted on arms some distance from the center of the rotation. Most of those modules seem to be mounted more than half a space shuttle length from the center. Granted, you would have gravitational variances, but it's better than no gravity at all.

PS If you were on board whatever vessel was firing those thrusters, you would still hear the noise as it is transmitted along the fuselage of the craft. (ever ridden the Concorde?)

Freekin,
You have overlooked several details in your comment. If you look again at the clip you will see that the living area in the space station is in a central tunnel which has a diameter of only a few meters.

At the beginning of the scene we can see that the rotation is around that central tunnel and the Cosmonaut stands on the "floor" rotating around the center. His head and feet are on opposite sides of the rotation axis. The modules you are talking about are, as you say, at a much further distance from the central axis and would be a more appropriate place to experience artificial gravity but that is not where the scene takes place.

It does not look to me like they approach the station on a curved trajectory. At least not during the first shot where the thrusters are clearly firing. It is true that to fly on a curved path you'd need a centripetal force to pull you into that path but what we see is thrust being applied from rockets at the rear of the shuttle. Unless the rockets are swiveled sideways such that they are able to produce a centripetal force they will simply cause the shuttle to speed up. Applying a constant forward thrust during docking is a bad idea.

Notice also that the sound of the thrusters always accompanies an external shot of the shuttle - presumably this is meant to be the scene as experienced from space. This happens many times during the movie. Sound as viewed from space is one of the most common and simple sci-fi physics goofs. While film makers I'm sure feel it would be a lot less dramatic without sound, it bears pointing out.

For artificial gravity you would need a huge spaceship, like the one in 2001 A Space Odyssey. You can check it out in YouTube.

As for the thrusters, you need to use them as breaks, too. So the shuttle depends on the thrusters to accelerate and stop.

nvitija you don't need a huge spaceship. I can give any capsule or what ever shape you want gravity. All you have to do is attach a tether with some mass at the other end and make the whole thing spin. Simple cheep and easy.
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animemaster is right you dont need a huge spacship as long as were sending migits into space, for ex: beetlejuice, nice pic by the way ;)

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