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"To get anywhere, or even live a long time, a man has to guess, and guess right, over and over again, without enough data for a logical answer."
- Robert Heinlein
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| Gravity-assisted Subway | ||
| The fastest way between continents (that does not entail leaving the ground). |
This piece of technovelgy gives a great illustration of the fastest way to get from point A on the surface of the earth to another surface point B.
| The car shot forward and down. Corbell was on a roller coaster. He pulled out a chair arm and hung on. The car fell at a slant for what felt like half a minute. Then there was high gravity as car and tunnel curved back to horizontal. Light inside, darkness outside. Corbell was beginning to relax when the car rolled, surged to the left; rolled, surged to the right, steadied. What was that? Changing tunnels? His ears popped. Peerssa spoke. "Your speed is in excess of eight hundred kilometers per hour and still accelerating. A remarkable achievement. "How do they do it?" "At a guess, you are riding a gravity-assisted linear accelerator through an evacuated tunnel. You are about to pass beneath the Pacific Ocean..." |
| Technovelgy from A World Out of Time,
by Larry Niven. Published by Random House in 1976 Additional resources -
|
The ingenious solution is to dig a tunnel from one point to the other, using the force of gravity to provide some of the acceleration. The beauty of this approach is that, in a frictionless environment, you can speed the train on its way without having to apply any energy - and slow it down the same way!
The questions (for you engineers) are: what is the best shape (or curve) for the tunnel, and how can you avoid those pesky underground temperatures and pressures? See this article on the brachistochrone problem, one of the earliest problems posed in the calculus of variations. Newton solved this problem from scratch in one day in 1696; got your pencil? Ready, set ... go!
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'The pitiless M rays pierced Earth and steel and densest concrete as if they were so much transparent glass...'
'Pina2bo would have to operate full blast for many years to put as much SO2 into the stratosphere as its namesake had done in a few minutes.'
'Nanny is different,' Tom Fields murmured... 'she's not like a machine. She's like a person.'
'We made a crude , small cell and were delighted - and, I admit, somewhat surprised - to find it worked.'
'...we've promised him a generous pension from the royalties.'
'The clothes and jewelery drew their tiny power requirements from her movements.'
'At the end of each appendage's eight fingers there are tinier appendages...'
'We want to do something to help those who are suffering from tooth loss or absence,' said lead researcher Katsu Takahashi.
