Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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You are not logged in. #1 2006-02-16 08:24:15
Space ElevatorThese Guys want to build an elevator into space. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #2 2006-02-16 08:32:09
Re: Space ElevatorI don't have permission to access "those guys'" server. Why did the vector cross the road? It wanted to be normal. #3 2006-02-16 10:15:04
Re: Space ElevatorYou may be right, mathsy. El que pega primero pega dos veces. #4 2006-02-16 10:31:22
Re: Space ElevatorThat is why you put a cable in the outwards direction too (with possibly a counterweight on it, to save cable). Once it is all connected up, the orignal "source" satellite is redundant (make a good hotel, possibly). "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #5 2006-02-16 11:37:53
Re: Space ElevatorWhat if you stretched a cable from the earth to the moon? :-P A logarithm is just a misspelled algorithm. #6 2006-02-16 11:56:10
Re: Space ElevatorThat might be a bad idea as our angular velocities are not the same. #7 2006-02-16 11:58:18
Re: Space ElevatorWow, good point. We'd reel the moon into us. Why did the vector cross the road? It wanted to be normal. #8 2006-02-16 12:16:04
Re: Space ElevatorEventually our rotations will match. So some time in the distant future it would be possible. As an added bonus, said cable would stop the slow withdrawl of the moon away from the earth. If it ever got too far away, earth would soon be inhabitable. #9 2006-02-16 15:07:11
Re: Space ElevatorColor me stupid, but I still don't understand how a counterweight is any different than a satellite in orbit, as far as the fact that it's not attached to anything, and therefore free to decelerate (and lose altitude and fall as a result) if a force is applied to it. El que pega primero pega dos veces. #10 2006-02-16 15:15:49
Re: Space ElevatorWhat color is stupid? Why did the vector cross the road? It wanted to be normal. #11 2006-02-16 15:30:02
Re: Space ElevatorWell, Arthur C. Clarke sure thought it would work. He also thought we'd have intelligent AIs and the ability to send people to Saturn by 2001. El que pega primero pega dos veces. #12 2006-02-16 16:01:05
Re: Space ElevatorSatillites can have rockets. Rockets can fire away from earth. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #13 2006-02-16 17:02:12
Re: Space ElevatorIt works by always keeping the forces in balance. The satellite starts in geosynchronous orbit. It should stay there whether it weighs 100 kg or 100,000kg, right? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #14 2006-02-16 17:06:42
Re: Space Elevator
Yes, indeed! Well ... his timing may just have been a little off "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #15 2006-02-17 03:49:53
Re: Space Elevator
Problem with this is that the side going towards earth is under much stronger gravitational forces than the side away from earth. So you have to have an extremely massive thing on the side away. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #16 2006-02-17 07:40:35
Re: Space ElevatorYes, the forces must be massive. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #17 2006-02-17 07:44:44
Re: Space ElevatorEveryone also seems to be neglecting the affect of weather and wind currents near the surface of the earth. While these wouldn't be massive forces on a cable, unless the circumference was very large, it would still be great enough to jerk and jostle the satelite around which isn't under the same influences in the vaccuum of space. The tension that we created by a counter mass would have to be quite large to minimize these sudden accelerations. |