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astronomy

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Teenager is baffled.

As if the SAT didn't already have a less-than-stellar reputation in terms of racial bias and the possible inability to truly measure a student's cognitive abilities, now a story about an expensive blunder is once again making the rounds on social media. Back in 1982, one math question on the test was completely impossible to answer on the multiple-choice Scantron. How was that possible? Because the correct answer hadn't even been listed.

Pencil, SAT test, Scantron, testing, SATsClassic SAT test. Photo by Nguyen Dang Hoang Nhu on Unsplash

Here was the question: Picture two circles, a large one marked B and a smaller one next to it with an arrow, marked A. "In the figure above, the radius of Circle A is 1/3 the radius of Circle B. Starting from the position shown in the figure, Circle A rolls around Circle B. At the end of how many revolutions of Circle A will the center of the circle first reach its starting point?" Is it A, 3/2; B, three; C, six; D, 9/2; or E, nine?

On the Veritasium YouTube page, they explain that if you were to look at the problem logically, you'd conclude the answer was B, three. Because the circumference of a circle is 2πr, and the radius of Circle B is three times that of Circle A, "logically it should take three full rotations of Circle A to roll around." However, that answer is wrong.

- YouTubewww.youtube.com

In Jack Murtagh's piece "The SAT Problem that Everyone Got Wrong" for Scientific American, he conveys it all came down to the Coin Rotation Paradox (take note of this if you want to sound super intelligent on your next date or job interview).

You can try this yourself. Murtagh writes, "Here's how the paradox works: Place two quarters flat on a table so that they are touching. Holding one coin stationary on the table, roll the other quarter around it, keeping edge contact between the two without slipping. When the moving quarter returns to its starting location, how many full rotations has it made?"

Again, most test takers assumed that the answer was three. But "in fact, Circle A makes four rotations on its trip—again, exactly one more rotation than intuition expects. The paradox was so far from the test writers’ awareness that four wasn’t offered as an option among the possible answers, so even the most astute students were forced to submit a wrong response."

Why in fact was this the case? On the Scientific American YouTube page, it's explained again: "If you replace the larger circle with a straight line of the same length, then the smaller circle would indeed make three rotations. Somehow the circular path creates an extra rotation. And to see why, just imagine rotating a circle around a single point. There are two sources of rotation here. One from rolling along a path—and the longer the path is, the more rotations. And another from revolving around an object, which creates one extra rotation, no matter its size."

- YouTubewww.youtube.com

Okay, one more try. Here, it's relayed in terms of actual astrophysics: "This general principle extends far beyond a mathematical fun fact. In fact, it's essential in astronomy for accurate timekeeping. When we count 365 days going by in a year—365.24, to be precise—we say we're just counting how many rotations the Earth makes in one orbit around the Sun. But it's not that simple. All this counting is done from the perspective of you on Earth. To an external observer, they'll see the Earth do one extra rotation to account for its circular path around the Sun. So while we count 365.24 days in a year, they count 366.24 days in a year."

What might be equally interesting is that out of 300,000 SAT test-takers who got that question at the time, only three wrote in to the College Board to challenge the answer. Ultimately, they had to fix the test, which cost them over $100,000. (In 1982, that's at least ten Happy Meals.)

The comment section on YouTube was buzzing.

gif, wrong, reaction, reaction gif, math problemYoure Wrong John C Mcginley GIFGiphy

This person suggests following your gut, even if that does mean challenging a professor or other authority figure: "In college, I took a poetry class and once had an answer marked wrong on a test. Confident in my response, I reached out to the poet themselves, who affirmed I was right and even communicated this to my professor. Despite not being a fan of poetry, that moment made me quite proud!"

Another person commented on the reasoning behind the paradox itself: "That part about the circle rotating around the triangle was mind-blowing. You instantly understand why it's not the same if the circle rolls on a flat line or rolls on a curved line."

And for this person, it brought peace of mind: "This was the one SAT I took, and I remember the question that didn't have a correct answer, and it wasn't until today that I understood the right answer. I can die happy now."

Bill Wurtz's "History of the Entire World, I Guess" is an amazing overview of the history of the universe.

Pondering the entire history of the universe is an overwhelming endeavor for our finite human brains. We have a hard time even conceptualizing "a billion" as a number, much less trying to wrap our heads around the billions of years of the existence of the universe.

It's even overwhelming just to try to imagine the whole of human history on Earth. There's just so much of it. Diving into the history of just one country or region is a lot, and the more we zoom in, the more there is to learn.

But what if we zoom way out? Like, waaaayyyy out. How condensed could we make the history of the world if we took a 30,000- foot view of it? And how could we make it educational and entertaining at the same time?

Those are basically the questions Bill Wurtz answered in his video appropriately titled "History of the Entire World, I Guess," which has been viewed on YouTube more than 139 million times since he posted it in 2017.


Wurtz uses an odd combination of simple animation and graphics, funny descriptions delivered almost in a monotone and some intermittent musical blips to tell the story of the universe from the Big Bang to recent history. And it's impressively comprehensive for being a quick overview of, well, everything. Wurtz told the H3 Podcast that he spent 11 months researching and writing the video, which he originally hoped would be five to seven minutes long. The final product clocked in at just under 20 minutes, but it's totally worth it.

The video starts with the basic fact of our individual existence: "Hi. You’re on a rock, floating in space. Pretty cool, huh?” Then it pulls us back to the very beginning of the universe before slingshotting us through the formation of matter, stars, planets, Earth, life on Earth and finally, the entirety of human history. It's a super high-level overview, and yet you walk away with a better understanding of the basic chemistry, physics, astronomy and geology of the universe, in addition to the geopolitical, religious, military and industrial history of the human race.

It is, in a word, remarkable.

The original video is worth a watch if you're cool with a handful of f-bombs. The version below has had almost all of the profanity removed to make it more kid- and school-friendly. My own kids have watched it at least a dozen times. Despite how quickly it moves, they get so excited when they recognize some slice of history that they've learned about, and they've been inspired to learn more about things Wurtz references in the video. They love it.

Honestly, getting this much history into one video and tying it all together in a coherent way is incredibly impressive. And to have so many clever, laugh-worthy moments thrown in for funsies is just delightful. It doesn't include everything, but how could it? And it can be a little jarring to have huge, devastating events flash by in seconds, knowing how many people's lives were impacted by them. That's the nature of the 30,000-foot view, though. It offers a perspective that feels almost disturbingly detached, but it can also help us see our squabbles as momentary blips in the big picture.

All in all, well done, Bill Wurtz.

For centuries, human beings have looked at the night sky, hoping to see aliens.

Now, a group of scientists is trying to find out where aliens would have to be in order to see us.

Researchers from universities in the U.K. and Germany have identified nine planets that are "ideally placed" for their resident astronomers to detect Earth using the same methods Earth stargazers use to detect them, according to a new paper published in the Monthly Notices of the Royal Astronomical Society.


The astronomers looked for planets on which observers could view Earth's transit across the sun — the period where, from their perspective, our planet moves in front of its home star, causing it to dim slightly.

An illustration of where an extraterrestrial observer would have to be to notice one of the planets in our solar system passing in front of the sun. Image by 2MASS/A. Mellinger/R. Wells.

The study builds on the work of astrophysicist Rene Heller, who proposed the idea that intelligent extraterrestrial life located in these "transit visibility zones" might already know about Earth in a paper published last year in the journal Astrobiology.

"We've expanded on this by including all of the solar system planets and looking at the known and expected exoplanets in these regions," study lead author Robert Wells, a Queen's University Belfast Ph.D. student, says.

The work was made possible by the revival of the Kepler space telescope, which malfunctioned and was nearly left for dead in 2013.

Instead, engineers used sunlight pressure to stabilize the stellar eye later that year. It has since discovered more than 500 exoplanets — joining the more than 2,300 total detected in the telescope's eight-year run.

A digital illustration of a gas giant planet and moon discovered by Kepler. Photo by NASA/JPL-Caltech/R. Hurt via Getty Images.

The next challenge? Finding where ET might actually be listening for that call.

None of the planets identified in the paper have the conditions to support life. The researchers expect to discover more worlds in the prime Earth-viewing zone in the coming months.

"Our hope is to find some planets which are potentially habitable and can see transits of Earth, which I think will be the best targets for SETI," Wells says.

Here's hoping when do we track our galactic neighbors down, they're not the kind we need Will Smith to deal with.

(Thankfully, we have Will Smith — just in case.)

As any historian of medieval East Asia or player of Civilization V: Brave New World will tell you, 15th century Koreans were really, really, really good at science.

[rebelmouse-image 19475372 dam="1" original_size="700x467" caption="A statue of King Sejong the Great in Seoul. Thanks, guy! Photo by Republic of Korea/Flickr." expand=1]A statue of King Sejong the Great in Seoul. Thanks, guy! Photo by Republic of Korea/Flickr.

Under the judicious rule of Sejong the Great, the kingdom's top researchers spent a lot of time looking at space and making maps of it.


In 1437, during one of these looking sessions, a bunch of scientists thought they discovered a bright new star, one that easily outshone everything else in the sky (eat it, Luyten 726-8A).

14 days later, it disappeared.

Unbeknownst to the ancient sky-watchers, the "new star" was not new at all. It was, instead, what's known as a "classical nova" — an ultra-dense, white dwarf star that sucks so much matter off a neighboring star it causes a giant, nuclear explosion. The star gets super bright for a short period of time before once again fading into the cosmic background — like a stellar version of Pokémon GO.

The problem is, 15th century Korean scientists didn't exactly keep the best records. For starters, it was the 15th century, and pretty much everyone had rickets. Also, the modern Korean alphabet wouldn't be invented for another seven years.

You'll be shocked to learn the location of the star that went nova was lost to time.

Until now.

After 580 years of searching, a team of researchers from four continents has finally located the star, making it the oldest such nova to have its location accurately documented.

Lead researcher Michael Shara had spent nearly 30 years looking for remnants of the stellar explosion, known as Nova Scorpii. (A great name for any Dutch speed metal band that might be looking, btw. Don't sleep on it!)  

Shara told The Atlantic's Marina Kornen that attempting to locate the site had been like "searching for a needle in a billion haystacks." Initially, the American Museum of Natural History curator and his team believed they'd find the nova between two stars in the constellation Scorpio. With the aid of online astronomical catalogs, which weren't a thing the first time Shara looked back in the 1980s, the astronomers combed through records of hundreds of millions of stars until, eventually, they focused in on a planetary nebula near the original search area.

In a classic "That's no moon, it's a space station" moment, the team rapidly realized that the nebula was the nova — or at least the remnants of it. They had been looking between the wrong two stars the entire time.

The team published its findings in the August edition of Nature.

"When we relaxed our criteria as to where to look in the constellation, we found the nova in 90 minutes," Shara told Space.com.

Image by K. Ilkiewicz and J. Mikolajewska.

This 2016 image, taken by a telescope in Chile, shows the star — indicated by two long, red hashmarks — surrounded by the cloud of hydrogen it ejected in 1437. The smaller red "plus sign" in the center shows the star's location at the time it went nova almost six centuries ago.

Thanks to research by Shara and others, we know a lot more about novas than we did in 1437 — and even more now that Nova Scorpii has been tracked down.

In addition to classical novas, astronomers have observed frequent "dwarf novas" — much smaller explosions — across the visible universe. Shara has long suspected that both types of novae arise from the same star systems at different points in time rather than from different systems altogether.

Images from the 1930s and '40s, published in the paper, show the star pair that produced the 1437 nova undergoing a series of dwarf novae — lending Shara's theory some weighty backup.

Whether you specifically care about the dynamics of matter exchange in binary star systems of not, it's hard to deny that — holy crap — this is amazing.

[rebelmouse-image 19475374 dam="1" original_size="700x364" caption="Image by tyrogthegatekeeper/Wikimedia Commons." expand=1]Image by tyrogthegatekeeper/Wikimedia Commons.

When those 15th century Korean astronomers looked at the sky, they knew they were witnessing something important about their universe.

With the right tools, some tenacity, and a bit of luck, human beings have made it possible to find out what that is. Even after a 600-year search.

Science, then, as now, totally rules.