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  • Hello, it's Scott Manley here. So how I made the video about how required to destroy a planet

  • When I first saw Star Wars as a four-year-old, it pretty much framed my life and sent me off in my spaceship **that says course in life.

  • Now Star Wars movies are actually pretty light in terms of physics and science.

  • They're often misclassified as science fiction when I prefer to call them high-tech fantasy.

  • But there's one very important question for which we can invoke real-life physics.

  • Just what kind of power does it take to destroy a planet?

  • I mean three of the seven movies involve devices that are that are able to destroy planets.

  • And I should mention that there's a couple of minor spoilers here,

  • and as it turns out, it's pretty easy to figure out how much energy you would actually take to destroy a planet.

  • Indeed, in 2001, a paper addressed this issue by calculating the gravitational binding energy of these spherical planet.

  • You know, physicists love approximating things to **Spears.

  • By the way, at least with planets that caused **her to reality.

  • And with the gravitational binding energy, it's a pretty simple concept for any Kerbal Space Program player.

  • We know that the escape velocity is the critical speed above which an object will skip to infinity and never fall back.

  • Now imagine that you grab a rope from the surface of a planet, shoot it off at escape velocity.

  • It's an easy equation to figure out how much energy is required.

  • And repeat that bit by bit, rock by rock, as you go on, you'll actually need slightly less energy

  • because I should throw bits into space, there's a less mass of the planet left behind to hold them down,

  • but then, if you add them all up, using calculus, you get a very simple equation.

  • The energy is 3/5 times the gravitational constant times the mass of the planet squared and divided by the radius of the planet.

  • Now, for earth, that number is about 2.25 time 10 to the 32 Joules, or in billion speak, 225 million trillion trillion Joules.

  • However, in the same paper they went on to calculate that for larger planets like Jupiter.

  • The energy would be even higher, something like 2 times tend to the 36 Joules.

  • That said, 2 trillion trillion trillion Joules.

  • The authors hypothesize that the Death Star ** be able to destroy this by shutting down some of its non-critical system, like life support.

  • And he wouldn't put that past the Empire given there are spotty record on providing basic workplace safety features like handrails.

  • Now, this paper is actually under estimating the power of this technological terror, and by extension, the power of the Force.

  • In Star Wars, we see the destruction of Alderaan, in but a few second, the planet explodes, sending fragments away.

  • But assuming that Alderaan is similar to the earth, that exploding ball of plasma is exploding at many times the escape velocity.

  • **Look at this damn war as an example to show just escape velocity is when you're comparing it to the size of the earth.

  • It's now particularly dramatic unless of course you're on the surface of that planet.

  • **This is of course done because Star Wars is a movie and the audience expects special effect to them rather than bore them.

  • If we reexamine the sequences in slow move, we can see that within a second, the ball of the pulverized planet is about two to three times the size of the original planet.

  • So the substantial part is moving at over 10000 kilometers per second.

  • We're dealing with velocities many times higher than the escape velocity

  • and the gravitational binding energy is really a small correction compared to the kinetic energy required to accelerate a planet's worth of mass up to these speeds.

  • To be fair, this is an explosion and it's more like a range of velocities,

  • but even if we take say a baseline of 1000 kilometers per second,

  • the energy required to obliterate Alderaan in this manner that will satisfy movie goers, is about 3 times 10 to the 36 Joules,

  • are once again 3 trillion trillion trillion Joules.

  • Now, in the Force awakens we have a new generation of planet busting super weapon that can project its beam of destruction over interstellar distances and destroy entire solar system,

  • but moreover, it's powered by a star which gives me another opportunity to invoke real physics.

  • Our Sun emits roughly 3.85 times 10 to 26 watts of power, or again in illion speak, 385 trillion trillion Joules per second,

  • which means that for our law and estimate, it would take about a week of the sun's energy output to obliterate Alderaan, or 250 years if you look at my higher estimates.

  • **Noting that 10 billion your life span of a star, that isn't so bad.

  • But I do have some straight of problems with this,

  • maybe I missed it, but it seems to me that they're weren't planning on moving star killer base around.

  • After all, the energy required to move a planet into hyperspace is probably similar to the energy required to destroy a planet by moving its different pieces in ** per second in different directions.

  • But if you have to consume an entire star to do that, then you would need another star, and if it can't move,

  • will, you gonna get another star. It seems like bad planning.

  • I mean, you don't even need mathematics to figure this out.

  • **Okay, look, scrip, oh, look, there's a way to fix this.

  • There are stars have luminosities that are something like a million times higher than the sun.

  • They're short lived, but they can generate the energy required for epic planet busting for millions of years,

  • long enough for any movie franchise.

  • Star killer base could soak up the power of 122 from the outer layers of these stars.

  • It could even make the star turn from blue through red to black, as the energy was siphoned off,

  • giving those X-wing pilots a way to gauge how long they had to left in a visually arresting style,

  • and then, of course, after the siphoning stopped, the star would return to normal energy output and be ready for firing again in a few days time.

  • Of course the scriptwriter never asked me, regardless if you really want to go into planetary destruction to strike fear into the heart of your enemies.

  • The empire and the first orders are going a way overboard, making millions of voices cry out in terror,

  • just requires obliterating the top of your 0.1% of the planet near the surface.

  • The other 99.9% of a planet is generally sinks like magma that isn't particularly hospitable to life.

  • I'm Scott Manley. Fly safe.

Hello, it's Scott Manley here. So how I made the video about how required to destroy a planet

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用Twinkies驅動死星 (Powering The Death Star With Twinkies)

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    Harvey Pan 發佈於 2021 年 01 月 14 日
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