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Nuclear waste. We've got a lot of it, it'll stay dangerous for tens of thousands of years,
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and we don't really know what to do with it. So why don't we just send it into space and
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crash it into the sun?
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Well, first, it's really dangerous to put nuclear waste on a rocket, since rockets have
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a tendency to occasionally explode while launching, making any nuclear-waste-filled exploding
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rocket into a really big dirty bomb.
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But the bigger reason is that it's actually really really hard to *get* to the sun. It
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might seem like it should be easy, since the sun's gravity is always pulling us towards
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it. But we're also orbiting really fast sideways around the sun, so that as we fall towards
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it, we miss it.
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In order to crash _into_ the sun, you have to slow down so that you're _not_ going sideways
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really fast. The earth - and everything on it - is moving around the sun at around 30
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kilometers per second, so you'd have to accelerate to a speed of 30kilometers per second backwards
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away from the earth in order to stop moving around the sun and do a sun dive. And you
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have to slow down all the way – with even a little bit of sideways speed, you'll miss
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the sun and whip around, not crashing.
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Ok, so a speed of 30 kilometers per second is really fast, but just how fast? Well, from
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earths's orbit, you only need to be going _11_ kilometers per second faster than the
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earth in order to escape from the entire solar system. Which means that it's much, much harder
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to crash into the sun than to escape it altogether. Let me say that again: it takes less acceleration
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to get to _other_ stars than it does to get to our own sun. Crazy.
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But it gets weirder: because the gravity from an object is stronger the closer you are to
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it, the smaller your orbit is, the faster your orbital speed. For example, Mercury goes
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around the sun at a speed one and a half times faster than earth, while Pluto goes only a
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sixth as fast. And that means it's actually way harder to crash into the sun from Mercury
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than from the earth, even though you're closer, because you'd have to accelerate to a speed
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of 48 kilometers per second backwards instead of 30. And it's way _easier_ to crash into
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the sun from Pluto, since you only have to accelerate to a speed of five kilometers per
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second backwards.
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In fact, if you're trying to crash into the sun just using rockets, it's far more efficient
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to first go to the outer solar system where your speed is much lower, then do a second
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burn to counteract that slow orbital speed and allow you to fall directly into the sun.
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And that's precisely why early mission trajectories for NASA's spacecraft to study the sun proposed
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going out to Jupiter first – to make it easier to slow down and get to the sun. Ultimately
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they decided instead to use repeated flyby's of Venus to slow down the probe and save on
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rocket fuel getting to the sun.
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But how gravity assists work is a topic for another day. Speaking of which – how long
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would a day be on the sun?