Originally posted by crazyblue
i understood everything except the above (which is actually your question )
where do they add the stabilazing element? is it really 100,000 km long? is it made from metal? how do they get so much metal into space?
and well, the other part...if i got your right, then you just have 2 different velocities but also two different circumferences. so (in th ...[text shortened]... on? (your formula for P was independent of all a, v or s). if yes, then it might be more tricky.
The formula is for the time of a single orbit. So it assumes you are already there and the formula just says how many seconds it takes. If you want velocity, you have to massage it a bit further by the D*PI for the circumferance and then dividing the time into it. The original formula is P=(4PI^2*R^3)/G*M but the 4PI^2/GM is always a constant for any given planet so its silly to have to include all that crap when it just boils down to 9.904E-14 for the earth.
But the 'stabalizer element'is just a string, albeit a strong one, that connects the geosync section with another mass 100,000 Km further up. If you google in 'space elevator' you will come to the article that describes the need for such a string but I just don't see how it could be stable, I can see the theory for the bottom section, if you get a string that is about 100 times stronger than steel for the same mass, and you can run it down (or up) from the satellite to someplace on the equator (the thing has to be in an equatorial orbit) then you climb up the rope and basically walk your way into space. Note however, you are not able to just step off and go to the moon, you still have to add 3 1/2 Km/second of velocity away from earth to achive escape velocity,
but at least you are halfway there speedwise when you arrive at the top of the elevator. So far so good. What I am having trouble with is how do they expect to make the extension stable? It seems to me it would whip around, the rope maybe even dipping into the atmosphere or something. Draw it out, make the earth 2 cm in diameter, then the first station out about 22 cm then the stabalizer a meter away from all that, then imagine the whole thing flying around in orbit, the 22 cm line tugging on the mass a meter away. Don't see much in the way of stablizing going on here.