Let's take a peek into the future. You may have heard of the so-called "space elevator". Although the basic principles are the same as the ground elevator, the proposed space elevator is so far from the ground elevator that it needs to be classified separately. Vehicles will follow cables from Earth's surface directly into space without the use of large, expensive rockets. One practical application is to provide the International Space Station in orbit 400 kilometers above the Earth's surface.
A space elevator is essentially a long cable extending from the Earth's surface into space, with its center of mass in geostationary orbit at an altitude of 35,786 kilometers. Electromagnetic vehicles traveling along cables could serve as a mass transportation system for moving people, payloads, and electricity between Earth and space.
Current plans call for the construction of a base tower about 50km high - cables will be tethered to the top. To prevent the cable structure from falling to Earth, it would be attached to a large balancing mass outside geostationary orbit, perhaps an asteroid moved into place for this purpose.
The system requires the center of mass to be in geostationary orbit. The cable is basically in orbit around the earth.
Four to six "elevator tracks" will run along the sides of the tower, with cable structures leading to platforms on different levels. These tracks will allow electromagnetic vehicles to travel at thousands of kilometers per hour.
The conceptual design places the tower on an equatorial site. The extreme height of the lower tower section makes it vulnerable to strong winds. The equatorial location is perfect for such a huge tower as the area is virtually free of hurricanes and tornadoes and is properly aligned with the geostationary orbit (directly overhead).
Without computers, a space elevator would be completely impossible. The cable from the ground base to the space weight is 35,786 km and it won't be even as you ascend. The equations for finding the right tensile strength and keeping the entire structure on track so the cables don't bend are complicated. Only supercomputers can solve them in a reasonable amount of time.
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