full transcript

## 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

1. conditions
2. configurations
3. system
4. physicists
5. reach
6. exact
7. motion
8. great
9. 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

1. alpha
2. analytically
3. apparent
4. astronomically
5. behaviour
6. bets
7. calculated
8. case
9. chaotic
10. characteristic
11. complicated
12. conditions
13. configurations
14. crashing
15. dependent
16. differences
17. equations
18. exact
19. flung
20. give
21. great
22. highly
23. human
24. important
25. improbable
26. large
27. long
28. meaning
29. missions
30. motion
31. move
32. multiple
33. objects
34. orbit
35. orbits
36. outcomes
37. physicists
38. position
39. potential
40. precision
41. random
42. range
43. reach
44. relevant
45. result
46. shove
47. space
48. stability
49. stable
50. start
51. system
52. systems
53. time
54. timescales
55. tiniest
56. universe
57. unpredictable
58. unsolvable
59. velocity