Why is everyone fighting over these tiny spots of space? - Fabio Pacucci

350,012 views ・ 2023-08-10

TED-Ed


Please double-click on the English subtitles below to play the video.

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Since the launch of the first artificial satellite in 1957,
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governments, companies, and research institutions
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have been planting flags among the stars.
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But while it might seem like there's plenty of room in this vast expanse,
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some pieces of celestial real estate are more valuable than others.
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Each of these dots is a Lagrange point,
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and as far as human space exploration is concerned,
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they may be the most important places in our solar system.
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Named after the 18th century mathematician who deduced their positions,
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Lagrange points are rare places of equilibrium
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in our constantly shifting universe.
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All celestial bodies exert a gravitational force on nearby objects,
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pulling them in and out of orbits.
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And gravity acts alongside several apparent forces
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to determine what those orbits look like.
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However, Lagrange points are places where all these forces balance out.
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So if we place a relatively low mass object here,
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it will maintain a constant distance from the massive bodies pulling on it.
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Essentially, Lagrange points are celestial parking spaces—
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once an object is there, it requires little to no energy to stay put.
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So whenever humans want to keep an object in one place for a long time
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without using tons of fuel,
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it needs to be orbiting a Lagrange point.
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However, there are only so many of these parking spots.
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Pairs of massive bodies in our solar system
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generate sets of five Lagrange points.
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This means our Sun has five points with every planet,
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and our planets have five points with each of their moons.
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Adding these up, there are over 1,000 Lagrange points in our solar system—
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but only a few are useful for human purposes.
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Many are in locations that are too difficult to reach
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or simply not very useful.
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And for reasons we'll explain in a bit, many others are unstable.
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Currently, only two of these points are heavily used by humans.
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But we’ll likely use many more in the future—
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making these limited points exclusive real estate.
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Which begs the question: what exactly should we park in them?
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That answer depends on where each point is.
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Consider the five Lagrange points generated by the Sun and the Earth.
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L1 is located inside Earth's orbit,
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about 1.5 million kilometers away from the planet.
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With this panoramic view of the Sun, unobstructed by Earth’s shadow,
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L1 is the perfect place for solar-observing satellites.
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L2 is at the same distance from Earth but outside its orbit
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and shielded from the Sun,
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making it the perfect spot to observe outer space.
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In 2022, the James Webb Space Telescope went online here,
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in a spot where the Sun and Earth only occupy a tiny fraction of the sky.
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L3 is in a particularly mysterious location
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that can never be directly observed from Earth’s surface.
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This has made L3 a frequent locale in science fiction,
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though it hasn’t offered much use to scientists yet.
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L4 and L5, however, are a bit different from their siblings.
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In every set of five, the first three Lagrange points are slightly unstable.
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This means objects will slowly drift away from them,
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though keeping what we’ve parked there in place is still energetically cheap.
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The stability of L4 and L5, however, varies from set to set.
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If the heavier of the two bodies generating the points
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has less than 25 times the mass of the lighter body,
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these points are too unstable to park things in.
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However, if the heavier body is massive enough— like it is in Sun-Earth set—
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then the relevant forces will always return objects
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to these equilibrium points,
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making them our most stable parking spots.
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That’s why points like these naturally accumulate space objects,
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such as the Sun-Jupiter set’s L4 and L5, which host thousands of asteroids.
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Every Lagrange point in our solar system has its quirks.
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Some might be perfect for scavenging construction materials
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from drifting asteroids.
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Others might make ideal gas stations for ships headed to deep space,
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or even host entire human colonies.
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These points are already home to advanced technological achievements,
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but soon, they could become our stepping stones to the stars.
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