full transcript
#### From the Ted Talk by Fabio Pacucci: Newton's three-body problem explained

## Unscramble the Blue Letters

But what does it actually look like for objects in our universe to move according to analytically unsolvable equations of mtooin? A system of three stars— like Alpha Centauri— could come crashing into one another or, more likely, some might get flung out of orbit after a long time of apparent stability. Other than a few highly improbable stable connitfiugaors, almost every possible case is unpredictable on long timescales. Each has an astronomically large range of potential outcomes, dependent on the tiniest of differences in position and velocity. This behaviour is known as chaotic by pshycisits, and is an important characteristic of n-body systems. Such a syetsm is still deterministic— meaning there’s nothing random about it. If mpulilte systems start from the eaxct same cnontdoiis, they’ll always raech the same result. But give one a little shove at the start, and all bets are off. That’s clearly relevant for human space missions, when complicated orbits need to be calculated with gerat precision.
## Open Cloze

But what does it actually look like for objects in our universe to move according to analytically unsolvable equations of **______**? A system of three stars— like Alpha Centauri— could come crashing into one another or, more likely, some might get flung out of orbit after a long time of apparent stability. Other than a few highly improbable stable **______________**, almost every possible case is unpredictable on long timescales. Each has an astronomically large range of potential outcomes, dependent on the tiniest of differences in position and velocity. This behaviour is known as chaotic by **__________**, and is an important characteristic of n-body systems. Such a **______** is still deterministic— meaning there’s nothing random about it. If **________** systems start from the **_____** same **__________**, they’ll always **_____** the same result. But give one a little shove at the start, and all bets are off. That’s clearly relevant for human space missions, when complicated orbits need to be calculated with **_____** precision.
## Solution

- conditions
- configurations
- system
- physicists
- reach
- exact
- motion
- great
- multiple

## Original Text

But what does it actually look like for objects in our universe to move according to analytically unsolvable equations of motion? A system of three stars— like Alpha Centauri— could come crashing into one another or, more likely, some might get flung out of orbit after a long time of apparent stability. Other than a few highly improbable stable configurations, almost every possible case is unpredictable on long timescales. Each has an astronomically large range of potential outcomes, dependent on the tiniest of differences in position and velocity. This behaviour is known as chaotic by physicists, and is an important characteristic of n-body systems. Such a system is still deterministic— meaning there’s nothing random about it. If multiple systems start from the exact same conditions, they’ll always reach the same result. But give one a little shove at the start, and all bets are off. That’s clearly relevant for human space missions, when complicated orbits need to be calculated with great precision.
## Frequently Occurring Word Combinations

### ngrams of length 2

collocation |
frequency |

solar system |
3 |

unknown variables |
3 |

general solution |
2 |

## Important Words

- alpha
- analytically
- apparent
- astronomically
- behaviour
- bets
- calculated
- case
- chaotic
- characteristic
- complicated
- conditions
- configurations
- crashing
- dependent
- differences
- equations
- exact
- flung
- give
- great
- highly
- human
- important
- improbable
- large
- long
- meaning
- missions
- motion
- move
- multiple
- objects
- orbit
- orbits
- outcomes
- physicists
- position
- potential
- precision
- random
- range
- reach
- relevant
- result
- shove
- space
- stability
- stable
- start
- system
- systems
- time
- timescales
- tiniest
- universe
- unpredictable
- unsolvable
- velocity